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With Regrouping Example: Subtract 2329 frcm 4277. @u% @r @x Step 1: Subtract the ones. Since 7 < 9, borrow l ten from the tens column and regroup the ones column as 7 ones + 10 ones = 17 ones. Hence, 17-9=8ones L8 88 Step 2: Subtract the tens. Since L ten was borrowed Step 3: Subtract the hundreds. by the ones column, 0 tens are left. Borrow t hundred from the hundreds column and regroup the tens column as 10 tens + O tens = 1.0 tens. Hence, 10-2=8tens Since L hundred was borrowed by the tens column,l hundred is left. Borrow L thousand from the thousands column and regroup the hundreds column as 10 hundreds + t hundred = 11 hundreds. Hence, 1L-3 =8 hundreos Step 4: Subtract the thousands. Since 1 thousand was borrowed by the hundreds column, 3 thousands are left. 3-2=Lthousand rhus,42t7 - 2329 = L888 Use Addition to Check the Difference We can always check subtraction by adding the subtrahend to the difference. The result we get should be the minuend. Example: Subtracl L47 frcm 384. Also, check the difference using addition. trFtr \"'\"\" ;::,.':;','i\"\"\"\",i\"'1,n\" * \", .or u m n a nd 3 o8 94 Minuend ---) regroup the ones column as 14 ones. -)Subtrahend - 14-7 =7 ones. Step 2: Subtract the tens. 7 -4 = 3 tens Difference---+ 3 7 Step 3: Subtract the hundreds.3 - 1= 2 hundreds rhus,384 - 747 =237.

trEE Ch eck: 1 @4 7 Add the subtrahend and the difference. +2 3 7 The answer is 384, which is the minuend' Therefore, the answer for subtraction is correct. 3 84 .ETEE1. Subtract the following: 'ETEE .ETET 25 62 2226 20 55 74 -1L 2 4 _T L 52 \" ETEE , EllET 56 05 ' EEEII 3458 -25 o4 5625 _2 L L 7 -4 2 7 3 663a-3s3s= (--__l n. 6204-a328= [-_-l 77so-1368= [--__l 87s3-s888= (-__-l k. s786-u78=f1 ssss-7e88= (-__l 2. The sum of two numbers is 7436. lfoneofthem is 4236, find the other number. 3. Write verticallv and subtract the following; c. 4609 - 2509 f. 9762-785L a. 2469 -1304 b. 3942 - 1831 d.5694-3456 e. 6745 - 5793 4. The sum of two numbers is 8342. lf one ofthem is 5980, find the other number' 5. What must be added to 7621 to get 8243? 6. What must be added to 5492 to get 6345? 7. Find the difference and check your answer' a. 589 - 456 b.899-799 c. /o) - ov6 d. 1468-7222 e. 4689 - 3798 f. 9653 - 8994 _-.tEt

SMART SUBTRACTION Subtract l from both the minuend and the subtrahend and then find the difference. One has been done for vou. a. 400(-L) 399 b. 3OO c. 9oo - 234(-r\\ - 233 -r24 -624 166 166 The difference is the same when we subtract L from both the numbers. Pattern in Maths Subtracting 10, 100 and 1000 from numbers Fill in the boxes. Two have been done for vou in each case. 86-L0=76 268-100=168 2279-1,OOO=7279 I24-tO=714 348-tOO=248 321L-LOOO=22LL 343-L0= 3843 - 1000 = 493-10= -nl4235 - 1000 = 549-10= 5678 - 1000 = I 674-10= 8008 - 1000 = t-*___.l i _t trEtr ,EEE .EEEFill in the boxes and complete the subtraction problems. _I3 8 4 78 9 65 zZzLI TT -T 4 tr 205 823

4 ' rElil ' rllE_I4 tr 28 3I7 \" EETil T 48 EEET 0T 1 8 fT-,Jl 1Ie 5 '. E2 T4 E8 Itirl ETET T0 3 6A 1E e s -3 3TL,1JI TT '- tr4 1 -tr I T 3[]7 4 Word Problem Example: Rahul has L75 marbles. He wants to increase his marble collection to 380' How many more marbles does Rahul need to collect? trE-a t-!rNumber of marbles Rahul wants an 6b (D 5 Number of marbles Rahul has t> Number of marbles he needs to collect @efe @e8e 0J Thus. Rahul needs to collect 205 more marbles' L. Vicky travelled a total distance of 550 km. He travelled 240 km bY bus and the remaining distance by car. How much distance did he travel by car? 2. Rishav has 1289 stamps. Aarav has 1378 stamps' How many more stamps does Aarav have than Rishav?

3. A library has 2374 children's books. Abhi has read 1063 books. How manv books are still left for him to read? 4. There are 2484 children in a school. 1595 children went on a tour. How many children did not go for the tour? 5. Monica went to a shop with her father to buy rice. The shopkeeper had several varieties of rice. The price of a 10 kg bag of each variety is listed below. Ponni Rice-{ 485 ldly Rice-{ 395 Brown Rice-{ 522 Golden Rice-? 550 Monica's father bought 10 kg of each variety of rice. He gave the shopkeeper { 2000. How much amount will Monica's father get in return from the shopkeeper? usl Suyash and Malini together contributed { 9500 towards a flood relief fund. lf Suyash contributed { 4800, what was the contribution of Malini? What is the value depicted by Suyash and Malini? Mixed Problems on Addition and Subtraction Example 1: Lina has 132 building blocks. She gave 18 blocks to Rahul and 28 blocks to Aditya. How many blocks are left with her?

-- Lina has Method 1 Rahulgets Method 2 Aditya gets 132 blocks Lina gives 18 blocks Lina had She gives - 18 blocks to Rahul She gives + 28 blocks Lina is left with 114 blocks 46 blocks She gives - 28 blocks to Aditya t3z DtocKs 46 blocks Lina is now left with 85 blocks Lina now has 86 blocks Thus, Lina is left with 86 blocks. Thus, Lina is left with 86 blocks. Example2: Raj hastotravel atotal distance of 732 km. lf he has covered 423 km by train and 132 km by bus, how much more distance is yet to be covered by him? Method 1 t52Km Method 2 Total distance Raj has to [ii]0.Distance covered by train travel -Distance covered by train ]k'[ig,Distance covered by bus * t.;tDistance covered by train and bus together [,rt,| km Distance remaining km Distance covered by bus Total distance Raj has to IT:t:3_z -r km -@n' travel ) [4n'\"Distance yet to be covered Distance covered by train [r-5;));lJ km and bus together Distance yet to be cou\"r\"o [t 7-l tni 1. There are 2162 balls in a bag. 112 more balls are first added and then 124 balls are removed. How many balls are left in the bag? 2. Riya travels 1124 km by plane and 543 km by train. lf the total distance she has to cover is 1700 km, how much more distance is yet to be covered by her? 3. In a housing society, there are 296 men, 244 women and the rest are children. lf the number of people residing in the society is 797, find the number of children in the society. A ln a football stadium, there are 748 seats. lf 466 seats are occupied, how many seats are vacant?

5. In a park, there are 418 coleus plants, 146 rose plants and 215 sweet pea plants. Find the total number of plants in the park. Also, find how many more coleus plants are there than sweet pea plants. 6. Priya has 1214 stamps. Neha has 1576 stamps. How many more stamps does Neha have rnan Hflva ( Kunal's father bought him a cycle, a puzzle book and a school bag on his birthday. The total cost of the cycle, book and school bag is { 8460. lf the cost of the school bag and the book are ? 520 and { 450 respectively, what is the cost of the clcle? Kunal decides to go to school by cycle and not by his father's car. Choose the most appropriate value depicted by Kunal. a. Honesty b. Sensitiviw to environment c. Empathy Estimating the Difference )rnnqwhln , l ExamDle L: Actual difference Estimation by rounding off the numbers to the nearest 10 45 8 440 -2 L -21 0 226 230 Example 2: Actual difference Estimation by rounding off the numbers to the nearest 100 4238 6 4200 -24t2 2500 1700 t76 1. Estimate the difference by rounding off the given numbers to the nearest l'0. One has been done for vou. tl D@a. 358-124:@ - = F*l o. 424-rr8:E - = c.384-128:D-t]=D o B3-324:D E=D

2. Estimate the difference by rounding off the given numbers to the nearest 100. One has been done for you. I t LTI I i-a. 2834-1345: I zsoo | - | r:oo | = | rsoo b. 463e-2218: l= _J c. 73e4-54oi:[l-[l={-l 0 328s-r32s:[ ] t]= D I _.1 Write 1 to 6 in the circles so that each number is the difference of the two numbers below it. Properties of Subtraction . When a number is subtracted from itself, the difference is zero' Examples: 7232 - 1232=q 2354 -2354=0; 6249 - 6249 =O . When zero is subtracted from any number, the difference is the number itsell Examples: 1243 - Q = f243; 2454 -O=2454; 5255 - 0 = 5265 1. Fill in the boxes. Du. sz+s-sz+8 =[--_-l c. -0=3534 a. 4224-o=a-]l -0=5125 Ee. esza-[-__-l=o d. szes-f-_-l=5265 h. 713s-7rss=f-l i. sr++-[---l=ara+ 7638-[--_-l=o DISIHS EAE a_g!4u!/ Obiective: To reinforce the understanding of subtraction with regrouPing. Materials required: 10 bundles of red straws with 100 straws in each bundle (each bundle represents one hundred), 10 bundles of blue straws with 10 straws in each bundle (each bundle represents one ten), 10 single yellow straws (each straw represents a one) and Ftlf -ffil48

number cards from L00 to 999 (the cards should be in random order like L00, L05, L17, 732,1,55,167 and so on. ) Method: Divide the number of students into groups of 4 each and give the above mentioned materials to each group. Two children from each group take turns to select a number card each and pick as many bundles of hundreds, tens and ones straws as needed to expand their numbers. Then the other two children will find the difference of these numbers. Repeat it with the other groups. Record your observations. Example: A child picks a card 132. He/She then picks up 1 bundle of 100 straws, 3 bundles of 10 straws and 2 single straws. Another child picks up 117. He/She then picks up L bundle of 100 straws, 1 bundle of 10 straws and 7 single straws. The other two children subtract 117 from 132 using these straws. They need to regroup them to find the answer. In the table given below numbers, their representation, and subtraction are given. Numbers Representation Subtraction T32, LT7 1a-t - 1 hundred+3tens+2ones hundred+1ten+7ones .,rt &g WO___JEffiitr{ Solve and co lour eq uat val ues wrt h the same colour One has been done for you. @[,o] - @@ @t; @l-fi]. T::J + symbol for subtrocti6n F;l t;l Li3. T:: J + ) first used in Germony os fa. @ Er-;;-l l-::;l morkinos on borrels fo indicote ,-----( I \\ those thot wene [128 not f illed. @ tt -;:I:J @ EI E@ @ @

choose the correct answer from the given options. ..rEr L. Which one ofthe following is correct? 42 5 \".EEE b ltEr456 26 D8 -256 9 67 97 8 2. Which one of the following is incorrect? . lilEEl \" EE b rEr286 85 6 58 -7 3 8 -19 8 99 18 88 25 9 3. 358 - 308 is the same b. 28+ 22 c. 100 - 40 a. 10+70 4. Gunjot was given 1248 questions as mathematics homework for two months She completed 919 questions in the first month. She is yet to complete questions. c. 329 a. 339 b.457 5. Abhi used 1423 cashew nuts and pistachios in total to make cakes' lf the number of cashew nuts used were 1067, the number of pistachios were b. 356 c. 467 a. 367 6. Ankit drew 1L2 pictures in his art book, while Anirudh drcw 221. pictures. Who drew more pictures and by how manY? c. Anirudh, 101 b. Anirudh,99 a. Anirudh, 109 7. There are L345 plants in a garden, out of which 863 are medicinal plants. The number of plants which are not medicinal is c. 482 a. 328 b.234 8. The sum of two numbers is 999. lf one of them is 378, the other number is c. 721 a. 521 b.621\" 9. Mahek had 128 stickers. She got 54 more from her friend. Then, she gave 28 stickers to her brother. The number of stickers left with Mahek are c. 2lO b. 102 a. t54 10. Rajat and Rashi together have a total of 378 stamps. lf Rajat has 21\"9 stamps, Rashi nas b. 159 stamps ooc. 2L9 stamps

t. The birth years of four of Anu's friends are given below Manisha-2005 Anita-2004 Ananya-2006 Preetha-2009 Based on this information, answer the following questions. a. Who is the youngest in the group and who is the oldest? b. How old will be Manisha and Preetha in 2019? What is the difference between the ages of Anita and Ananya? 2. The lengths of some of the rivers in India are given below. ktr_,- Ik--'rd; Fill in the blanks based on the above information. Km. km. a. River Ganga is longer than river Godavari by Km, b. River Godavari is longer than river Krishna by c. River Krishna is longer than river Yamuna by lf the lengths of river Krishna and river Yamuna were added, will it be greater than the _length of river Ganga?

4 Mlurlitiprllleation Multiplication indicates how many times a number is added to itself' It is actually rePeated addition. In multiplication, the number to be multiplied is known as the multiplicand' The number by which the multiplicand is multiplied E M ultiplica nd is called the multiPlier. 5 (- Multiplier The answer is called the Product. 2 i- Product a- Properties of MultiPlication When a number is multiplied by 1, the product is alwavs the number itself Examples: 6x1=6; 23 x 1--23, 54xL=54 When a number is multiplied by O, the product is always 0' Examples: 4x0=0; 35x0=0; 62x0=0 1. Fill in the boxes with the correct number' .cA)<n= a't)xb.54x1 A-r^x=74e.98x

2. Fill in the boxes using the multiplication tables of 2, 3,4, 5, 6 and Itl and orooerlv, ol 1. i: t; t 5 5 6 7 8 v 10 1 10 2 L6 A I 5 i 6 ,Ifttv\\ iIi ri 10 5U ri v Multiplication using Number Line Vinnie's jump is 5 steps long. She wants to know how far she will go in 3 jumps. 171'\\llll o i 2 3 +(sJe 7 8 e(1olr1 1273 1\"4 15 IO 77 18 t9 20 1x5=5' 2x5=7O:. rxs=[-_l Kazo's jump is 6 steps long. He wants to know how far he will go in 3 jumps. 1x6=6; 2x6=L2; s\"e=[-l Multiply the following: c. 5x5= I I d. uxb= Ea.:x5= I j b.4x2= nEh.5x4= _.#-8t . De.5xz= I I f.4x3=

Multiplication Table of 7 7x7 =7 2x7 =L4 7 3x7 = 2'1, 4x7 =28 7 +7 5x7=35 7 +7 +7 6x7 =42 7 +7 +7 +7 7 x7 =49 7 +7 +7 +7 +7 8x7=56 7 +7 +7 +7 +7 +7 9x7=63 7 +7 +7 +7 +7 +7 +7 7 +7 +7 +7 +7 +7 +7 +7 LOxT =70 7 +7 +7 +7 +7 +7 +7 +7 +7 7 +7 +7 +7 +7 +7 +7 +7 +7 +7 Lx8=8 you noti 2x8--16 Multiplication Table of 8 3x8=24 hot in the multiolicotiori 4x8=32 toble of 9, the digits 8 5x8=40 6x8=48 of eoch product 8+8 7x8=55 odd up to 9? 8+8+8 8x8=64 9x8=72 Or9=9,1+8=9, 8+8+8+8 10x8=80 8+8+8+8+8 ? + 7.= 9... 8+8+8+8+8+8 8+8+8+8+8+8+8 1x9=9 8+8+8+8+8+8+8+8 2x9=18 8+8+8+8+8+8+8+8+8 3x9=27 8+8+8+8+8+8+8+8+8+8 Multiplication Table of 9 9+9 9+9+9 .G-l5t4 lr

9+9+9+9 4x9=36 9+9+9+9+9 5x9=45 9+9+9+9+9+9 6x9=54 9+9+9+9+9+9+9 7 x9=63 9+9+9+9+9+9+9+9 8x9=72 9+9+9+9+9+9+9+9+9 9x9=81 9+9+9+9+9+9+9+9+9+9 L0x9=90 Multiply the following: b. 3x7= c. 9x7= 6x7 = EEEe. 2x8= DDt 4x8= Ed. 5x8= Ei. 1x9= DE8x9= 7 x t1, = 70+7 xI = 70+7=77 8x15 = 80+8x5 = 9x16 = 90+9x6 = 8x11 = 80+8x1= 80+8=88 7 x77 -- 70+7 x7 = 8x72 = 80+8x2 = 8x18 = 80+8x8 = 9x13 = 90+9x3 = 9x19 = 90+9x9 = 7 x74 = 70+7 x4 -- tr tr=D oE'tr=tr ..E'tr=tl1.. Write the product using multiplication tables. trd. tr=D \" E'tr=D 'E'tr=D * 8.tr=tr n E,.tr=n ' E'tr=tr

tr tr @k. trD t. D utr trDm. n. tr Do. ! !tr@p. tr D q. trs. D tr trD u. tr Multiplication Multiplying 3-digit Number by a 1-digit Number Without Regrouping Example: Multiply 123 by 3. tensStep 1: Multiply the ones Step 2: Multiply the Step 3: Multiply the hundreds digit by 3. digit by 3. digit by 3. rEr3x3=9ones 2x3=6tens rErLx3=3hundreds 33 33 9 69 369 Thus, 123x3=369 a. L40 x Z= b. 2L2x4= 43Ox2= With Regrouping Multiply the ones digit by 9. 5 x 9 = 45 ones = 4 tens + 5 ones Example: Multiply 225 bv 9. Carry over 4 tens to the tens column. [[!st\"or, Write 5 in the ones column. 2 (\"?)2 5 9 5

Multiply the tens digit by 9. Etttr 2 x 9 = 18 tens + 4 tens (carry over) = 22 tens @r. @, =2hundreds+2tens 5 Carry over 2 hundreds to the hundreds column. 9 5 trEEtr Step 3: Multiply the hundreds digit by 9. 2 x9 = 78 hundreds + 2 hundreds (carry over) @ @r. @, 5 = 20 hundreds 9 = 2 thousands + 0 hundreds 20 5 Carry over 2 thousands to the thousands column. fhus,225x9=2025 . IIEE1. Find the product. b. . EEE 314 x2 ' llElil J 04 'rEr 2 ' TEIT 124 2L xz 3 - EEE l|ET 11 5Z 3

' rErt. K. 33 2 2. Ftno the product. o. 234 L48 198 8 4 7 'trtrEr 284 ,trtrEE \"trtrEE 3 8 2)5 4 -. trtrEr EtrEtr trtrEtr 312 335 357 96 Multiplying 3-digit Number by a 2-digit Number Example 1: Multiply 221 by 12. Step 1: Multiply 221 by 2. ETET 227x2=442 L 44 step 2: Multiply 221 by L0. 22txL0=22IO t0 Step 3: Add 442 and 2210. 65 442+22LO=2652 Thus, 221 x 12 = 2652

Example 2: Multiply 233 by 14. step 1: Multiply 233 by 4. 233x4=932 trtrEtr @2 o^ step 2: Multiply 233 by 10. 55 233x10=2330 4 Step 3: Add 932 and 2330. 932+2330=3262 93 U +23 3 3262 Thus, 233 x L4 = 3262 1,. Find the product. D. .. Erllr L43 \" ETETil 234 t2 110 TL t2 r + trtrEr 50 s48 ' ErElil I5 443 18 E. 478xt2= h. 613x10= 752xt6=

Mqths Around Us Priya, a shopkeeper, buys 20 boxes of apples each containing 125 apples from a wholesalel. She has to unpack these boxes and sell the apples individually. For this, she needs to count the number of apples. lt would take long if she counts them one by one. What can she do to quickly calculate the total number of apples in the 20 boxes? She multiplies the number of boxes (20) by the number of apples in each box (125) to get the total number of aPPles. Hence, the total number of apples is 20 x 125 = 2500 apples' Word Problem Example: Maria travels L25 km in one day. How many kilometres will she travel in 5 days? trEtr Number of kilometres travelled in a day @r @z 5 Number of days x Thus, she will travel 625 km in 5 days. 6 25 L. A stationer has pencils in 5 colours. lf there are 226 pencils ofeach colour, v how many pencils are there ln all? 2. There are 273 chocolates in a packet. How many chocolates will be there in 8 such packets? 3. A lorry can carry 326 bicycles in a trip. How many bicycles can the lorry carry in I trips? 4. There are 128 books on a shelf. How many books willthere be on L3 shelves? 5. There are 243 apples in a carton. How many apples will be there in 14 such cartons?

ryo@t@ Make a path through the number grid so that the product of the numbers is equal to the given answer. Use only horizontal and vertical trails. you don't have to use all the numbers. Start I Start 1 2 5 455 654 Answer 60 Answer 720 Smart Multiplication Method 1: 18 x 25 = 18 x (5 x 5) 18x25= 18x(20+5) (L8 x 20) +(18xs) = (18x5) x5 360 + 90 = 90x5 o'-.. --o 450 o'^- --o = 450 1. Use smart multiplication (method 1) to find the product. a. 28x35 b. L6x25 c. 12x45 2)x52 n. 35x26 e. 22x55 f. 75x42 g. 34x15 2. Use smart multiplication (method 2) to find the product. a. 34x25 b. 14x35 c. L8x45 d. 'J.4 x 25 e. 18x15 f. 25x55 g. 35x82 h. 45x44 Multiplication by 10, 100 and 1000 By 10 To multiply a number by 10, put a zero at the end of the number. 3x10=30; L2xIO=720) 25xLO=250 45x1.0= 30x 2 = (3 x l) x lQ= 6 x 1.0= 60

=36x 10 l--_ l69 r 2 = 16 r 21 \" rO= rZ t rO = 48x10= I ---l xt0=r-l :zox+=(7x+) Ix10= By 100 To multiply a number by 100, put two zeros at the end of the number. 4x100=400; 5x 100=500; 23x3.00=2300 45x100= ti3_.0,.0_x.-2..=._(3x2) x100=6x 100= 600 I 36x100= l 48x100= 400x2= (4 x 2) x 100 =l lx 100= : :.. l'=T-i eoo' e = (6 * :),, too 1oo =f---l By 1000 To multiply a number by 1000, put three zeros at the end of the number' 4 x 1000=4000; 5 x L000= 5000; 2x1000=2000 3xL000= I 4000 x 2 = (4x 2) x L000= 8 x 1000 = 8000 6x1000=- 5000x3=(5x3) x 1000=l 1x100T0--=--l-- t e- I =-8 x 1000 1'l)Lr j uooo,.t = (o\"z)' rooo =[--'\"] \"ooo =f] Word Problem Example: A school bus can seat 25 children. How many children can be seated in 20 such buses? Number of children in one bus = 25 Number of buses = 20 Total number of children = 25 x 20 = 25 x 2 x 10 = 50 x L0 = 500 Hence,500 children can be seated in 20 buses.

1.. Find the product. c e,+o=[-_l \". +'ro=[--_l u. s.so=[] r. rs'goo=[--_-l d. zxroo={---l e. ex2oo=[--_-l i. gxrooo=f-_l s. 3xzooo=[--l n. z\"rooo=[--_-l 2. Use the picture and the multiplication fact to form word problems. One has been done for you. Picture clue I Multiplication fact Word Problem ) x20=40 There are 20 marbles in a jar. How many marbles are there in 2 such i ,,,00=uoo *ffi \" ffi y roxi.o=rou 3. There are 8 apples in a basket. How many apples are there in 10 such baskets? 4. In a classroom, 20 students are sitting in one row. lf there are 7 such rows of students, how many students are there in the class? 5. 1000 people can sit in an auditorium. How many people can sit in 9 such auditoriums?

ll-ypl nOitya's best friend needed money since his mother was admitted in the hospital. Aditya together with other children of his class contributed ? L10 each. lf there were 25 students in his class, how much money did they contribute altogether? Choose the most appropriate value associated with the above action. a. Honesty b. Empathy c. Patriotism 1. At a dog show there are equal number of nonnla enrl rlno< lf there are 36 legs altogether, how many people and dogs are present at the show? 2. lf Simran walks 6 km in a day, how much distance will she cover in 3 months and 10 days? (1 month = 30 days) ls there more than one answer to these problems? D[gssg,ltaB QQC @8'0,9 A-g!4n7 PQ9 (pQr9A Objective: To learn multiplication with marbles. qQ9 ('8.010 Materials required: Marbles and activity notebook cQ9 @g'9,9 aaQ@ 9Qg Method: Work in oairs. One student writes multiplication problems on a piece of paper and the other student solves it. Examples:5x7and7x5 The student solving the multiplication problem arranges 5 rows of 7 marbles each. Now, the student counts the total number of marbles. Number of rows x Number of marbles in each row = Total number of marbles 35 students then rearrange the marbles to make the following arrangement. 7 rows of 5 marbles each Number of rowg x Number of marbles in each row = Total number of marbles 7x5=35 Repeat this activity for other multiplication problems.

:: L. Which product from the following options is equal to 18 + 12? a. 6x5 .b. 10x4 c. 8x2 2. Which one ofthe following products lies between 55 and 60? a. 9x6 b. 8x8 c. 7x8 b TEE3. Which one of the following is wrong? . ETETil 4 5A 64 3o x 8 3 1 4A 72 L 8 0 0 +6 8 0 +1 9 1048 84 95 4. Thereare9 packets of 23 candles each. The total numberof candles is a. 207 b. 2t7 c. 32 -.5. There are 14 boxes of lollipops with 16 lollipops in each. The total number of lollipops is b. 624 c. 64 a. 224 6. 5 bags contain 18 toffees each. The total number of toffees is a. 23 b. 80 c. 90 7. Ankit paid { 2lM for a shirt. He bought 3 shirts. His billed amount is a. < 732 b. t 532 c. 7 247 A postman delivers 312 letters every day. In 4 days, he will deliver a. 319 b. t482 c. L248 9. In a theatre, thereare 14 rows. Each rowcanseat33 people. The total numberof people who can watch the movie at a time is i a. 4zo b. 462 c- 42 :: 10. Nisha buys 22 chocolates for her birthday party. Each chocolate costs{8. Find the ; total amount paid by her. a 11. In a class, there are 7 rows with L2 students in each row Findthetotal numberof ; students in the class.

1. In a fruit orchard, there are mango trees, coconut trees, jackfruit trees and lemon trees. Each mango tree has 210 mangoes. Each coconut tree has 50 coconuts. Each jackfruit tree has L2 jackfruits. Each lemon tree has 130 lemons. Now answer the following questions. a. How many mangoes are there if there are 5 mango trees? b. How many coconuts are there if there are 12 coconut trees? c. How many jackfruits are there if there are 10 jackfruit trees? d. How manv lemons are there if there are 3 lemon trees? 2. Fill in the blanks given in the table. Item Cost of 1 item in rupees Cost of 6 items Cost of 10 items a. Mango { 10 { : t (16 c. Jackfruit 4, ,1 - a t 3. Students of Class 3 of a school ptan to visit the Science Museum A total of 42 students are there in Class 3. Ticket for each child costs { 10 from Monday to Friday, and { 1.5 on Saturday and Sunday' a. What will be the total amount of money required if all the students go to the Science Museum on a Monday? b. What will be the total amount of money required if the entire class goes on Monday, saturdaY and SundaY?

a) a) a) Itvtjslt Gq ']i ,r'- (&wfr=====:-----\\:7'{I\\itr+,------------''----- i Division is the process of separating something into equal parts. ii i lt is denoted bv the svmbol '+' i The number which is to be divided is called the dividend. Divisor j number which divides the dividend divisor. ll < J4 <- The result is called the quotient. is calted the -3IEf- euotient i The Dividend i - f]- The leftover, if any, is called the remainder. 0 .- i equallyExample: There are 15 balls. Divide them Remainder i into 3 groups. i i ri rIi r)f ri l}i)J D 7 7 rt) f \";I i;l.;:iTl ;ftf]ilT;;\":,i1;:;:;\"'J#J;;.::j,ii,;xJli;\"*\"\"*iJ\"'L\"iLi\"i,il'iT',i\"'', ii into 3 groups of 5 balls each. ii r}rDfDr)fDifi;f--f-fi.f,-i-J- *-\\ ii r r - r[f r [l]wewritethisca) srllJ:rJr J r-= J I il *\"readthisaslsdividedby3isequaltos. ii [r.[;j=[.] W@W,each.Example: Divide 12 lollipops into groups of 4 ;i rhere will be 3 groups. l.2l/ lrfi/ liil/ ;i ii iI d-8.

Wo@@ Numbers 1 to 8 are arranged in such a way that the rows and columns show all four mathematical operations. Make another such arrangement. tttrrr..8E==,tEtrr [D.8=n\"nr. _/ +tt=t_ll,,_,1 r-___.1 1. Make equal groups in each case and write the division fact. One has been done for you. Objects Icroups Division fact tl 2 IO+2=5 g g6 2. Look at the picture and make addition (A), multiplication (M) and division (D) facts using the groups shown. One has been done for you. aaaaObjects A M D 4X5=t2 3+3+3+3 I LZ-i5=+

b. ' f\\3S-9i{r-'9T' iCr-T9 eil91\"\\i:i-T9 iQl1--.7i o. wwwW e. ry#*#*#ry# Division Using the Number Line Example 1: Divide 10 by 2 using the number line. at:n) 012 3 4 5 6 7 8 910 tL t2 L3 14 t5 L6 77 L8 19 20 Start from L0 and jump 2 steps backward till you reach 0. Count the number ofjumps. Hence, 10+2=5 Example 2: Divide 12 by 4 using the number line. 0 L 23 4 5 6 7 8 9 L0 t7 72 !3 14 L5 76 17 78 19 20 We sta rt from L2 and jump 4 steps backward till we reach O. There are 3 jumps. Hence, L2+4=3 1. Divide using the number line. a. || | I 4| 5| | I I t ||| ||||I||I 0t 2 3 6 7 8 9 L0 11 !2 13 14 15 L6 77 18 19 20

[. | || I | | I 7I 8I || | | |IIIi Itt l[;:];-]J o 1.2 3 4 5 6 9 L0 11 t2 L3 14 75 76 17 L8 L9 20 ul::i-3;t 6. o L 2 3 4 5 6 7 8 910 11 t2 L3 t4 75 16 17 L8 L9 20 @ @ d. | | | | I II | | I II I I | | | | | rr o L 2 3 4 5 6 7 8 910 11 L2 L3 74 15 16 17 La L9 20 g. o L 2 3 4 5 6 7 8 910 11 L2 t3 74 L5 t6 t7 7a t9 20 Repeated Subtraction Division can be done using repeated subtraction. Let us divide 15 by 5. Subtract 5 from L5 again and again until you get zero. 15. 10.Step 1: Subtract 5 from Step 3: Subtract 5 from 5. Step 2: Subtract 5 from Gt-tr=@ We subtracted 3 times. Hun.e,[:sl*tr=tr Example: Find 24 + 3 using repeated subtraction. 24 27 18 L5 I2 963 -3 3 -3 t---;3t 3 3 3 l-1 8-l tlrr\"----;)-l1 We subtracted 8 times. H\"n.\", F+l * l8l Divide the following using repeated subtraction. one has been done for you. 30+5 3 O 25 20 15 10 q 5 5 5 5 5 l2 0l f''-=l E-;-l sl t0l L_i____:l ITI z^ ->tl Hence,30+5=6 c. 2L+7 d.24+8 e.32+4 b. 18+3 FlTtolf .\\g'Ttr

Using Muftip|ication Tab|es wffiFi.:,. *^:.n. Division is the reverse process of multiplication. Example 1: E,E=@We know that E. EE=[elH\"nce, F+-]. .na E= E\" EExampre2: @'-t-<----t@--@. a.8==EE 1.. Fill in the boxes using the given multiplication fact. One has been done for vou. ..8.8=@< @'tr=E<@ =Ll=t:J o Tl__-Jl . lT-tl--tr-'lI @ * (f_i-ll=t[q JI Lf_-J1='LT_'J--)--Lr-__lJ ='Ln-J_-Lf--l D J D ='L-.-l_-rJ-_-_t ] i oB.E=e<!.!=!. E,E=EK ! ,E\"E=W!.!=!\".8\"8=K =.Lf_J_l -at.-Jl u =.Lr--_J_l-TL_-l J [_l+l- -l=l---l h.\\f-_t_']_,J.rl--iJl=Er__J \\tLJ'it=t I t=1fl1 D ..aL_-_-Jl -_r-t_-Jl 'B'E=K K= \"='LT-_-Jl -tf..l D =I D 2. write the division fact and the respective multiplication fact. one has been done for vou. a. There are 18 bikes. Thev are divided into Multiplication fact 3 equal groups. How many bikes are there 6x3=18 in each group? g.

Problem Division fact I Multiplication fact D. A fruit seller packs 32 mangoes equally in 8 boxes. How many mangoes are there in each box? c. lf there are 21 wheels, how many auto-rickshaws are there? d. lf there are 42 wheels, how many bicycles would be there? Properties of Division When a number is divided by itself, the quotient is 1. tr @.@=E Exam ples: le.E=Ef E-@=E When a number is divided by 1., the quotient is the num ber itseIt Examples: @ When zero is divided by any number, the answer is always zero. Examples: 1. Fill in the boxes. bE.tr=tr '!*@=tr \"E*E=tr \"n@@.*@D==ED *o @@..Do==@tr 'D.@=tr ' E.@=D Division Dividing 2-digit Number by a l-digit Number Without Remainder E'[email protected];;lMethod l.: Divide 48 bv 2. E @ @Ft step 1: Dividethetensbyz. Fol r = = _-ffi

[;l E Bstep 2: Divide the on\". by 2. -, = =@ The quotient is 2 tens and 4 ones, that is,24. ir\"nce,Fel.E=@ Method 2: Long Division Method Long division method is used for dividing small or large numbers. lt breaks down a division problem into a series of simple steps. Z4 Step 1: Divide the tens digit ofthe dividend. Recite the multiplication table 2f 4 8 of 2 till you reach a number equal to or just less than the tens digit. -4+ 2x2=4 08 So, write 2 in the tens place of the quotient. Write 4 below the tens -8 digit of the dividend and subtract. 4 - 4 = O 0 Step 2: Bring down the ones digit of the dividend. Recite the multiplication table of 2 till you reach a number equal to or just less than 8. 2x4=8 Write 4 in the ones place of the quotient. Write 8 below the ones digit of the dividend and subtract. 8 - 8 = O Hence, 48 + 2 = 24, where quotient = 24 and remainder = O. With Remainder Example: Divide 67 by 3. 22 Step 1l Divide the tens digit of the dividend. Read the multiplication table of 5l o 3 till you reach a number equal to or just less than the tens digit. a 3x2=6 -b I 50, write 2 in the tens place of the quotient. Write 6 below 6 and o? subtract.6-6=0 -6 )rep z: Bring down the ones digit of the dividend. Read the multiplication table of 3 till you reach a number equal to or just less than 7. 1 3x2=6- So, write 2 in the ones place of the quotient. Write 6 below 7 and subtract.T-6=L Hence, the quotient is 22 and the remainder is 1.

1.. Divide. f e fao a.2@ b.3lGt . c.4w t.2w e. 4F4 i.2l84 k. 4184 rt q [5]- 2. Find the quotient and the remainder in the following division problems. n. b l5J a. 31 14- b.2Es c.4E r. sle4 e af're- f. 4 F1- c. sFq j. 8lt3 i.7@ k. 8l8s Moths Around Us On the event of Independence Day, the principal of a primary school decided to organise a cultural programme after assembly. The head girl, Lavya, had to make the seating plans for the students. There were a total of 81 students to be seated to watch the cultural programme. Also, 9 students could be seated in each row if they were to be seated row wise. The principal asked Lawa about the number of rows in which students would be seated. Lavya quickly divided the total number of students (81) by the number of students in each row (9) and told principal the number of rows, that is, 81+ 9 = 9 rows. Dividing 3-digit Number by a l-digit Number Without Remainder Example: Divide 462 by 2. 23r Step 1: Divide 4 by 2. 2 II---4-n--*^oi;i-T)l| - 6t Write 2 in the hundreds column of the quotient. Bring down 6. 2 Step 2: Divide 6 by 2. 2 Write 3 in the tens column of the quotient. o Bring down 2. step 3, Divide 2 by 2. Write 1 in ones column of the quotient. Hence, the quotient is 231 and the remainder is 0. .-t#

With Remainder Example: Divide 643 by 2. 32t Step 1: Divide 6 by 2. Write 3 in tlie hundreds column of the quotient. Bring down 4. Step 2: Divide 4 by 2. -4 Write 2 in the tens column of the quotient. Bring down 3. Step 3: Divide 3 by 2. 1 Write 1 in the ones column of the quotient and 1 as the remainder. Hence, the quotient is 321 and the remainder is 1. b.4w c.2W d.3w, e.31363 f.6w, h. s F88 r. e l%1 i.2w, i.6@ k.81736 d. 3l731 2. Find the quotient and the remainder in the following division problems. h. 7lss7 a.4wl b. 3 F4s c. s lo37 | ? [qET e.5w f.4w c. a@ i. s ls36 j. 2 Fse k. 3le37 Quotients with Zero Example 1: Divide 412 by 4. 103 Step 1: Divide4by4. o I o.+ *? write 1 in the hundreds column of quotient. Bring down L. - 4i 12 Step 2: l cannot be divided by 4. Bring down the digit 2 also and write O - t2 o -&nin the tens column of ouotient. Diuid\" i.2 ov c. Write 3 in the ones column of quotient and subtract, L2 - f2 = O Hence, the quotient is 103 and the remainder is 0.

,xample 2: Divide 550 by 5. 130 Step 1: Divide 6 by 5. ', I o5)itul I Write 1 in the hundreds column of quotient. Write 5 below 5 and - subtract.'6 - 5 = 1. Write 1 and bring down 5. Step 2: Divide 15 by 5. 15 6 Write 3 in the tens column of quotient and subtract, L5 - L5 = 0. Bring down 0. Step 3: 0 cannot be divided by 5. So, write 0 in the ones column of quotient. dence, the quotient is 130 and the remainder is 0. L, Solve. h 31301 c. 4@ d. 41433 a. 2@ t sls37 vire03 .n 61638 . s lsoo TVoo k.7 81807 6 Fss n. s lTse o. 9lgos p. s@7 m. 8ls7 Dividing 4-digit Number by a l-digit Number Without Remainder txample: Divide 5442 by 3. 7A74 Steo 1: Divide5 bv3. 5442 Write 1 in the thousands column of ouotient and write 3 below 5. Subtract,5 - 3 = 2. Write 2 and bring down 4. Step 2: Divide 24 by 3. Write 8 in the hundreds column of ouotient and 24 below 24. Subtract,24-24= 0. Bring down 4. L2 Step 3: Divide 4 by 3. L2 Write 1 in the tens column of quotient and 3 below 4. subtract, 4 - 3 = 1. Write 1 and bring down 2.

Step 4: Divide 12 by 3. Write 4 in the ones column of quotient and 12 below 12. Subtract, 12 - 12 = 0 Hence, the quotient is 1814 and the remainder is 0. With Remainder Example: Divide 8768 by 5. 1,7 53 Step 1: Divide 8 by 5. s [s7, 6, ? Write 1 in the thousands column of quotient and write -5 5 below 8. 37 Subtract, 8 - 5 = 3. Write 3 and bring down 7. - 35 Step 2: Divide 37 by 5. 26 Write 7 in the hundreds column of quotient and 35 below 37. - 25 Subtract, 37 - 35 = 2. Write 2 and bring down 5. 18 step 3: Divide 26 by 5. L5 Write 5 in the tens column of ouotient and 25 below 26. Subtract, 26 - 25 = 1. Write 1 and bring down 8. Step 4: Divide 18 by 5. Write 3 in the ones column of quotient and 15 below L8. Subtract, 18 - 15 = 3 Hence, the quotient is 1753 and the remainder is 3. Verification of Division Using Multiplication Tables n', We can verify a division problem by using the following formula. Dividend = Quotient x Divisor + Remainder Example: Find the quotient and remainder when 2535 is divided by 4 and verify your answer. Here, Quotient = 633 and Remainder = 3 633 Verification: 4. 1t-2-5;-5;-);; Quotient x Divisor+ Remainder - 24t I =633x4+3 13 15 =2532+3 t2 = 2535 = Dividend Hence, Dividend = Quotient x Divisor + Remainder

1. Find the quotient and the remainder. Also, verify your answer. a. 7w45 b. 7@ c. swr4 d. e l8to7 e.5 8665 4 )f7E s. 4@o h. T14391 i. 81s482 j. 6@44 K. ) I /)O5 t. J lozro n. 67246 o. t | 6bz3 p. sFzn Division bY 10 rliffit'r, <: i' Example: Divide 93 by 10. 9 93 + 10 gives the quotient as 9 and the remainder as 3. 10 fe3 Whenever we divide a number by 10, the remainder equals the ones digits of -90 the dividend and the quotient equals the remaining digits of the dividend. 3 Therefore,814 + 10 gives quotient = 81 and remainder = 4. similarly,7568 + 10 gives quotient = 756 and remainder = 8. 1. Fill in the boxes. Division Quotient Remainder +10 S, No,

1'ir_9 9665 + 10 1. ln a farm, there were some hens and rabbits. Maria saw 140 legs. How many hens and rabbits did she see? Explain if you have more than one solution. 2. In a factory, Anup counted 60 bicycles and tricycles in total. The total number of wheels were 130. How many bicycles and tricycles were there? Word Problems 31 t r6b Example 1: L86 balloons are distributed equally among 6 children. - 18i How many balloons will each child get? 6 Number of balloons each child gets = 186 + 6 6 Hence, each child will get 3L balloons. Example 2: 4405 mangoes are packed equally in 8 cartons. How many 550 srlz4os mangoes were packed in each carton? Were there any mangoes left out? -40I I Number of mangoes in each carton = 4405 - 8 40 Thus,550 mangoes were packed in each carton. -40 5 mangoes were left out.

1. Divide 1550 cards equally among 7 people. How many cards will each person get? Are there any cards left? 2. Amit and four of his friends shared 4532 apples equally among left?themselves. How many apples did each one get? Were there any ill m f,t1 ryh apples rsarearranged ' ls:ff;:ffH: \"'ffi:i:\",l,iilj:;:\":;'\"0'n\" lrV- El Out of his monthly income, Rajeev distributes ? 9OOO equally among two 'Children/s Homes'and two 'Old Age Homes,. How much money will each organisation receive? What value does this act of Rajeev depict? L5 The authorities of 'Blue Star School'decided to grow an organic fs garden in the school premises. The children of the primary classes plant saplings on the first day of every month. lf they planted 240 saplings in one yeat how many saplings did they plant eve ry month? Write the health benefits of organic food. A*SIIIUV il lt il il QQg- Objective: To learn division. Materials required: Marbles or pebbles, paper, pencil, cards with simple division problems Method: Children are grouped into pairs. Each pair is given Problem i Solution materials listed above. One child from each group picks up one problem card. lf a child picks a card with problem j.2 -:4, 1,2+4 3 he/she picks up 12 marbles or pebbles and groups them, by placing 4 marbles in each group. The observations are recorded in a chart as shown. This can be extended to four to five proble ms.

choose the correct answer (questions 1to 4)from the given options. 1. Which one of the following shows 12 + 3 = 4? WW'WWWW. ilttilltillt 28 + 7 is equal to a.28 b.7 c.4 -. The number line depicts -jotrfvfiivitrtirr2ttt3tll4l 5 6 7 8 9 L0 Lt L2 73 14 L5 16 L7 78 19 20 a. 10+5=1 b. 10+2=0 c. 10+2=5 lf8x9=72,then-. b. 8x72=9 c. 72+8=9 a. 72+8=9 5. Fill in the boxes corresponding to the given repeated subtraction problem. 24-6=Lai EtIIa-6=L2; L2-6=61 TE]6-6=0 a. Dividend b. Divisor c. Quotient d. Remainder 6. Which one of the following is incorrect? c. 0+16=16 a. L6+1=15 b. 15+16=L 7. Rishu made 48 earthen lamps. she packed them equally into packets of8 each. The number of packets she made is a-l b.9 c.6 -. There are some children and some apples. The children should share the apples equally without cutting them. Which one of the following options is not possible? a. 6 children; 18 apples b. 5 children; L2 apples c. 9 children;36 apples 9. Tick the correct one. b. c. a. 24 z loq -e-rvl 08 -8

1. Fill in the blank boxes. h nnn trnn -l-n2s-aZ-i-- a.2[eflfls 7l 8L2 -_tr 8 _c_ nlfl -nNnD !ND -7 -_tr n T-.l T-.l -L)a Remainder = --! Remainder = Remainder = Quotient = Quotient = Quotient = 2. Rohan has two packets of marbles containing 56 and 72 marbles, respectively. He has to distribute the marbles in these packets. Based on this information, fill in the blank boxes given in the following table. Number of Marbles I Distributed Among I Share of Each 56 8 persons f--lmarbles f_l72 p\"nont 9 marbles 3. Pick the correct numbers from the figures and fill in the blanks given below Also verify the formula; Dividend = Quotient x Divisor + Remainder b. Divisor = Dividend = Divisor = Dividend = Quotient = Remainder = Quotient = Remainder =

_,oo 6 Ftae,tiionts Fractions When an object is divided into a num ber of equa parts, each equal part is cal ed a fractlon Hence, a fraction is part of a whole. A fraction of an object is always smal ler than the whole object. Divide a pizza into 4 equal Parts. Ta ke away 1 part. Fraction of the part taken away = number of parts taken awaY =14, total number of parts One-half When an object is divided into two equal parts, each part is called 3!-'e-: In the given picture, the two pieces together make the whole. Both the pieces are of the same size. The shaded portion represents one-hali This fraction is written as I'l and is read as one-half. -.---,H-

l---lDivide each of these rectangles into halves in I ll ll ll4 different ways and colour one-hatf of each. I One-third When an object is divided into three equal parts, each part is called one-third of the whole object. The shaded portion represents one-third and is written as 1. 3 This fraction is read as one-third. Three parts together make the whole chocolate. All the three parts are of the same size. One-fourth or Quarter When a whole object is divided into four equal parts, each part is called one-fourth of the whole. One-fourth is also called a quarter. Four parts together form the whole cake. All the four parts are of the same size. This fraction is written as 14 and is read as one-fourth or q ua rte r. Fractions in Real Life we use halves and quarters in everyday life. sometimes, we use them to compare sizes or to describe something. Examples: The child is about half or 1 of the There is a quarter or:1 off on the price height of the man. 2 of the refrigerator. '+ ?f,

The clock shows The jug is half full. quarter past eight. More on Fractions Rohan and Sonal share a pizza. They divide the pizza into 4 equal parts. ^tl- Ieats 3 parts. This is written as and is read :Sonal eats 1 part out of 4 parts. We write this as and read as one-fourth. :1 The figure is divided into 5 equal parts. Each part is of the whole. The shaded region is;-)of the whole. We read this as three-fifth. The rectangle is divided into 6 equal parts. Each part is 1. ;The shaded part is of the whole and we read this as five-sixth. Let us look at some more shaded portions and their fractions. t? 84 ? two-third 3 two-fourth one-eighth Numerator and Denominator 23We write one-half as a1land one-third as a. All fractions are exoressed in terms of two numbers. zt55 'txa m Dtes: 3444 The two numbers are placed one above the other separated by a horizontal line.

I *Numerotor The number above the horizontal line is called the numerator' The number below the horizontal line is called the denominator' .-Denominotof ProPerties of Fractions I'rr:'r+': . When there are no shaded parts, the numerator is 0 So' the fraction fiExamples: $ = o, = o, .r9 = o Note: There cannot be any fraction with zero as the denominator. . When the numerator and the denominator are same, then it is a whole number' Examples: J = rtft-- r,fi= t . A whole number can be written as a fraction with 1 as the denominator' Examples: 4 = 4^^ = 22 o-^r = 63 -; 22 T; T f*g 1. Fill in the table. One has been done for you. Denominator 1 .4 6 c. 8 2. Colour onlY those pictures which are divided into equal Parts. '- b. ,o\\:

3. Tick the figures whose one-half part is shaded. '$ b. O t_l tl 4. Tick the figures which show 5 8 a. f_-l tI D t_l \"<Mly',,\\{rny 5. Write the fraction ofthe shaded part in each picture. tlT__l t_l [:] c. l'| 6. Shade in the followine fieures. -/. ^.5naoe3 In tne to owlnP ttsures. c. a. 8. Choose and circle the correct answer for each shaded resion. 7 8109 b. 5 to9 7 ;' o'T1n 16'Td12']l cs..

6 247 11 15 1,2 1,0 10't'ad 11 IJ LZ Fractions as a Collection of Objects Example: Soha,s grandfather gave Soha and her friend 6 toys to share eq ua y. Since the two girls have to share the toys equally, they divided 6 toys into 2 equal groups. Each girl gets half of the toys. i x 6 = 3 or one-halfof 6 is 3. Example: Find one-third of 6 balls. \\rtr.\\Jft\\+j\\t+\\+lrr lr jr lI\\rrrrrl l-|'.1Divide the balls into 3 equal groups. \\-r la, I l]! l\\t \\t'There are 2 balls in each group. Each group has one-third of the balls. I 1 ;x 6 = 2 or one-third of 6 is 2. Example: t2 eggs are shared equally among Mani, Ali, Rick and Sam. All the 4 boys share eggs equally. Each one of them has 3 eggs. .. wwWe Each boy gets one-fourth of the eggs. say 1-- x 12 = 3 or one-fourth of 12 is 3. Sam Rick @roffisffiG@ 1. Find the fractions in each problem. One has been done for you. b. 03 o+ 03 oo

@ L. Colour the fraction of collections as mentioned. One has been done for vou. 'ffiffi ffi ffi* * * 7,6'\\ ?$.\\ .1,-r .':vj sffi x8'b i\"'= E @ar:\\hF,/€f2I Crh$iAFK'I i\"u=E eg#c.,?)?n AAA 7 .- [ I lotg= [_-l torb= 3 \\____J \" 6.66d,6 f.&tr-6)&1\"5)&re\" )&tr*o &h&,,@J-\"\"or\\,&h&/@,\"26-\"\"E&&*r\\,1uq\\t\"-6rr6&&*-n>o*\" 66q-vD_D,,\\{2D'{Dh.qD\"{ e'vb f .ttr=! :rof 16=f-[--l I

2. Group the objects and fill in the empty boxes. One has been done for you. 1 + = f---l 2 lx2=a 1of D. ++++ [2 lbecausel \"\"'* \"\"'* L .^ because x2=6 2 {if,iiii f,rf,iic. L .,^ Decause 2 ' *****{k *'u =f-l,\"..,,\"[_1.:=o \"3.t?. L .^ because x4=8 -40T6 = 3. The fraction represented by the shaded region is The fraction represented by the region that is not shaded is One-half of 10 = . 6. One-third of 21 = Pattern in Maths Look at the patterns and fill in the boxes. Two have been done for you. 'l {u:o=[rol L. z^-1= 2ot zu= T oT L .-^ !otn= I ZoT16= l\"rzz=[g ] :of18= I,nrc= jorrc= 1 L .,_ iof24=