Addition and subtraction - Dr1

Addition 123456789 are called one digit numbers Facts About Numbers 1) 0,1,2,3,4,5,6,7,8,9 are ine digit numbers. 2) 10,11,12,13..................95,96,97,98,99 are two digit numbers. 3) Smallest one dogit number is 0. 4) Biggest one digit number is 9. All Rights Reserved. AcumenToday 1

Addition One little bird sitting on the tree One more joins in, making them two, What is Addition? An Addition is the process of finding the total or sum by combaining of two numbers, digits or values. For Example 1+1 10+1 All Rights Reserved. AcumenToday 2

Addition The addition is taking two or more numbers and adding them together, that is, it is the total sum of 2 or more numbers. Example: How many banana in the plate += 5 +3=8 There are 5 bananas in one plate and 3 bananas in the other. So, we add 5 and 3 to find the total number of bananas. Add 5 and 3, we can count forward 3 steps from 5 The symbol used to indicate Addition is + (plus symbol). So, 5 and 3 can be written as 5 + 3 Count froward 3 Start from The number bigger number reached is the answer Answer is 8 All Rights Reserved. AcumenToday 3

Addition 3 + 2 = 5 Balloons 4 + 2 = Balloons All Rights Reserved. AcumenToday 4

Adding with the Pitcure 2 Add the object and write the sum. += += 5 += += All Rights Reserved. AcumenToday

Addition of one digit number Add and write the sum. Examples: a. b. 3 +2 +5 6 86 Practice b. 3 a. 1 +6 +8 6 6 c. 7 d. +1 + 6 6 All Rights Reserved. AcumenToday 6

Addition Use the number line 1) 3 + 2 = __5___ 7) 7 + 2 = _____ 2) + 1 = _____ 8) 9 + 3 = _____ 3) 2 + 6 = _____ 9) 8 + 1 = _____ 4) 6 + 1 = _____ 10) 1 + 5 = _____ 5) 5 + 2 = _____ 11) + = _____ 6) + 3 = _____ 12) 6 + 3 = _____ All Rights Reserved. AcumenToday 7

Addition sentences Find the missing number. Color in circle to help. 5 + ____ = 10 ____ + = 12 7 + ____ = 16 ____ + 9 = 18 5 + ____ = 13 6 + ____ = 11 8 All Rights Reserved. AcumenToday

Add or Subtract -= -= += += += -= += -= All Rights Reserved. AcumenToday 9

Count and Add += += + + + += + += + += All Rights Reserved. AcumenToday 10

Addition and Subtraction 1) 10 + 2 = 9) 8 - 1 = 2) 4 + 4 = 10) 6 + 4 = 3) 6 + 3 = 11) 8 + 5 = 4) 12 - 4 = 12) 4 - 4 = 5) 7 - 6 = 13) 9 + 2 = 6) 3 + 2 = 14) 6 + 6 = 7) 14 + 3 = 15) 12 + 3 = 8) 7 + 6 = 16) 3 + 4 = 11 All Rights Reserved. AcumenToday

Addition and Subtraction Working out 1) I have 3 I buy 2 more How many do I have now?_____ 2) There are 6 3 Fly away How many do I have now?_____ 3) There are 3 Logi eat 2 How many do I have now?_____ 4) There are 8 I buy 2 more How many do I have now?_____ All Rights Reserved. AcumenToday 12

Addition and Subtraction = + += -= -= += += All Rights Reserved. AcumenToday 13

Two Digit Addition and Subtraction Lets Solve this 11 15 12 9 +2 5 +6 +9 86 10 11 5 +5 3 +2 19 13 16 14 2 +2 +2 10 9 17 20 11 4 +3 18 +2 All Rights Reserved. AcumenToday 14

Complements of 10 The Ten Point Circle The Ten Point Circle illustrates the pairs of numbers whose sum is 10 Always keep in mind 1+9=10 & 9+1=10 2+8=10 & 8+2=10 3+7=10 & 7+3=10 4+6=10 & 6+4=10 5+5=10 10 19 11 9 1 18 12 8 2 17 7 3 13 16 6 4 14 5 These pairs of numbers are called complements of 10 All Rights Reserved. AcumenToday 15

Subtraction What is Subtraction? Subtract means to take away from a group or a number of things. For Example: 3 - 1 = 2 5-4=1 -= -= 16 All Rights Reserved. AcumenToday

Subtration Subtration of one digit numbers -12 - 5 2 -74 - -18 -4 -26 2 All Rights Reserved. AcumenToday 17

Subtration 5-4= 4-0= 2-2= 1-1= 6-3= All Rights Reserved. AcumenToday 18

Subtration -153 Subtration of two digit numbers -111 -165 -198 -109 -198 All Rights Reserved. AcumenToday 19

Subtraction Strategy Doubles Pattern Doubles Inverse 1+1=2 2 1=1 2+2=4 4 2=2 3+3=6 6 3=3 4+4=8 8 4=4 5 + 5 = 10 10 5 = 5 6 + 6 = 12 12 6 = 6 7 + 7 = 14 14 7 = 7 8 + 8 = 16 16 8 = 8 9 + 9 = 18 18 9 = 9 10 + 10 = 20 20 10 = 10 All Rights Reserved. AcumenToday 20

Addition Method - Vedic Maths Examples: Counting and passing on the Dots by Vedic way 1 + 5 + 5 = 11 1+ =5 1 + 8 + = 13 – 3 + 9 = 12 – 2 +3 = 5 1 + 1 + 3 + 6 = 11 – 1 + 1 + 2 = 1 Examples: 3+2+1+1 =7 + 5+2+4=11 1+0=1 being greater than 10, keep the 1 as dot and pass the 2 forward one Dot1+6+3=10 0-3-0=3 being Two digit >=10 keep 1 as Dot and pass the 0 forward one Dot 1+1=2 1+4+4+2=11 Keep the 1 as Dot from 11 and pass the other 1 forward and place before 1 All Rights Reserved. AcumenToday 21

Subtraction Cross out the shapes according to the number sentences. Then find the answer. 6 – 3 = ____ 7 – 5 = ____ 9 – 4 = ____ 5 – 5 = ____ 22 All Rights Reserved. AcumenToday

Find the missing number. Color in Square to help. 5 – ____ = 2 ____ – 3 = 4 3 – ____ = 1 ____ – 2 = 5 8 – ____ = 3 7 – ____ = 6 All Rights Reserved. AcumenToday 23

Subtract with the Pitcure 24 Subtract the object and write the sum. –= –= –= –= All Rights Reserved. AcumenToday

Subtractitoionn Subtration of One digit numbers -31 25 -10 -22 -52 -89 -66 -34 All Rights Reserved. AcumenToday

Subtration The ‘Sudha’ Sutra is applicable where the larger digit is to be subtracted from the smaller digit. Let us go to the process through the examples. Procedure: I) If the digit to be subtracted is larger, a dot ( sudha ) is given to its left. ii) The purak of this lower digit is added to the upper digit or purak- rekhank of this lower digit is subtracted. 135 Example (I): 34 - 18 34 . -18 ___ . Steps: (I): Since 8>4, a dot is put on its left i.e.1 (ii) Purak of 8 i.e. 2 is added to the upper digit i.e. 4 _ 2 + 4 = 6. or Purak-rekhank of 8 i.e. 2 is _ Subtracted from i.e. 4 - 2 =6. Now at the tens place a dot (means1) makes the ‘1’ in the number into 1+1=2. This has tobe subtracted from above digit. i.e. 3 - 2 = 1. Thus 34 . - 18 ___ Example 2: 63 . -37 ___ . Steps: (I) 7>3. Hence a dot on left of 7 i.e.,3 (ii) Purak of 7 i.e. 3 is added to upper digit 3 i.e. 3+3 = 6. This is unit place of the answer. Thus answer is 26. All Rights Reserved. AcumenToday 26

Subtration HCF - By Addition and By Subtraction This section is from “ Discover Vedic Math” In this section, We will use the sutras 1) By alternate elimanation and retention 2) By Addition and Subtraction By the way any time, We multiply or divide, We are using the “ Proportionately” sutra. When a number has a factor, it is propotional to the factor. Determaining factors is determining proportionately. All Rights Reserved. AcumenToday 27

Subtraction Strategy Inverse 2-1=1 Double Pattern 4-2=2 6-3=3 Double 8-4=4 1+1=2 10 - 5 = 5 2+2=4 12 - 6 = 6 3+3=6 14 - 7 = 7 4+4=8 16 - 8 = 8 5 + 5 = 10 18 - 9 = 9 6 + 6 = 12 20+ 10 = 10 7 + 7 = 14 8 + 8 = 16 9 + 9 = 18 10+ 10 = 20 All Rights Reserved. AcumenToday 28