MATH 4

 Check your answer if it makes sense. 125 x 1 700 = P 212 500Since the product is equal to the dividend then, your answer is correct.Would you like to try another exercise? Do the word problems in the next part of thelesson. TRY THESESolve the problems by following the steps in the “Study and Learn” portion. Submityour solutions and answers to your teacher for checking. 1. There were 27 500 bars of soap at the wholesale counter. If these were distributed equally among 110 retailers, how many bars of soap did each retailer get? 2. The Red Cross distributed 15 750 packs of noodles to the typhoon and flood victims in Central Luzon. If these were distributed equally among 525 families, how many packs of noodles did each family get? WRAP UP To solve one-step word problems, you must: Step 1. Read and understand the problem. Step 2. Know what are the given facts. Step 3. Know what is asked in the problem. Step 4. Make the number sentence. Step 5. Solve the equation. Step 6. Check if your answer makes sense. 3

ON YOUR OWN Check how far you have learned the lesson by solving these two problems. 1. Mangoes are sold by the “kaing”. If one kaing costs 1 025, how many “kaings” of mango can you buy with 142 475.00? 2. A delivery truck unloaded 600 boxes of canned milk at a supermarket. There were 14 400 cans of milk in all the boxes. How many cans were in each box?Check your answers with the answer key.If you get all the problems correctly, you may now proceed to the next module.Otherwise, repeat the whole process and ask the guidance of your teacher or an elderperson. 4

GRADE IV TWO TO THREE-STEP WORD PROBLEMS INVOLVING DIVISION INCLUDING MONEY Objective: Solve 2 to 3 step word problems involving division and any one or two of the other fundamental operations learned including money. REVIEWA. Can you still remember the steps to follow if you are solving word problems? Name them.B. Perform the indicated operations. 1. (23 + 17)  4 2. (6 x 5) + 8  4 3. 2 x 8 – 63  9 4. 3(4 + 5)  9 5. 54  (2 + 4) Check your answers using the key to correction. If your score is 4 or 5, you may now proceed to this module. If you get 3 correct answers or below, review first the past lessons. STUDY AND LEARNRead the problem below and answer two sets of questions that follow. Butch sold old newspapers for 32.00 and used bottles for 45.00. With the money, he bought notebooks at 12.00 each. How many notebooks was he able to buy? How much money was left with him? Are you ready to answer the first set of questions? Then here it is. Set A 1. What did Butch do? 2. Do you also sell old newspapers and used bottles? Why? 3. What help can you contribute to your family in selling old newspapers and used bottles? 1

Set BLet’s answer Set B questions together. Are you ready? Let’s start.1. What are you asked for in the problem? You are asked of two things. The number of notebooks Butch was able to buy out of his money and the money left with him2. What are the given data in the problem?The given data are:Cost of the old newspapers - 32.00 - 45.00Cost of the used bottles 12.00Cost of one notebook -3. What is the hidden question?The hidden question is the total money earned from the old newspapers and usedbottles.4. What is the number sentence for the problem?The number sentence will be:( 32.00 + 45  12 = n)5. What is the final answer? Here’s the solution and the answer.( 32.00 + 45)  12 = n 75.00  12 = n 6 r. 3 = nButch will be able to buy 6 notebooks and will have 3.00 left with him.6. How will you check if your answer is correct?Multiply 6 by 12.00. Then subtract the product from 75.00 to get 3.00.Let’s try.12 x 6 = 72.00; 75.00 – 72.00 = 3.00Try this another problem. 2

Zeny bought 12 potato chips at 5.00 each and 3 bags of candies at 15.00 each. If she paid the cashier a 200.00 peso bill, how much will her change be?  Follow the steps you have studied in the first example. TRY THESESolve the problems. Present your answers and solutions to your teacher. 1. Archie wants to buy a bicycle worth 1,150.00. He has only 750.00 money at hand. If he saves 40.00 a month, how many months will it take him to raise the remaining amount?  How much is the bicycle?  How much is his money at hand?  How much more does he need?  How much will be saved a month? 2. The Math Club of Garita Elem. School wants to buy 500 flowerpots at 12.00 each. How much would each of the 60 members share to be able to buy the flowerpots?  How much would be the cost of the 500 flowerpots?  How much would be the share of each member? 3

WRAP UP To solve 2 to 3 step word problems, you must: Step 1. Read and understand the problem. Step 2. Know what are the given facts. Step 3. Know what is asked in the problem. Step 4. Know the hidden questions. Step 5. Make the number sentence. Step 6. Solve the equation. Step 7. Check if your answer makes sense. ON YOUR OWNAre you now ready to test the skill you have learned in this module? Solve these problems byanswering the different steps in solving problems. Then present your work to your teacher forchecking. 1. The Science Club of Ladislao Diwa Elementary School took care of the distribution of 600 narra seedlings and 220 banaba seedlings during the tree planting activity. They divided these equally among the 12 elementary schools in the city. How many narra seedlings did each school get? Banaba seedlings? The total seedlings that each school got? 2. Mr. Reyes had 75,000.00. He divided the money among his 3 children. If his elder son gave 3 500 to charity, how much money was left to him? 4

GRADE IV COMMON FRACTIONS AS DECIMALSObjectives: Visualize common fractions as decimals. Write common fractions in decimal form. REVIEWWrite the fraction and the word name of the shaded parts on your paper._____a. _____ b._____c. _____ d._____e. Check your answers using the answer key. If your score is 8 to 10, you can nowproceed to this module. If you get 7 correct answers or below, review first the past lesson. 1

STUDY AND LEARN Mother baked a pan of pudding. She cut it into 10 equal parts. What part of thewhole is each of the equal parts?111 11 111 1110 10 10 10 10 10 10 10 10 10 You can write the name of each part as 1. You can also write it in anew way without changing its value. The fraction 10 1can also be written as 0.1. 10This number is called decimal. It is a special kind of fraction. Two parts of the pudding can be written as 0.2; 3 parts is written as0.3; 4 parts is written as 0.4; and so on. Notice that you find a dot at the left side of 1 (0.1), 2 (0.2), 3 (0.3), and 4 (0.4).This dot is called decimal point. The decimal point tells that the number is less than awhole or part of a whole.The expression 0.2 is read as two-tenths .2The expression 0.3 is read as three-tenths 10The expression 0.4 is read as four-tenths 3 10 4 10 The digits 2, 3 and 4 are found or written one place after the decimalpoint. Therefore, the decimals 0.1, 0.2, 0.3 and 0.4 are called one-place decimals.0.5 is a one place decimal. You read it as five-tenths.How will you read these one-place decimals? 0.6 0.8 0.9 0.7Write these decimals in fraction form. The first one is done for you. 1 10 2

0.1 = 0.4 = ____ 0.5 = ____ 0.6 = _____ 0.8 = ____ TRY THESEA. Express the shaded parts as fractions and as decimals._____ 1) _____ 2) _____ 3) _____ 4) _____ 5)B. Write in decimal form. _____ 4) 2 tenths _____ 5) 6 tenths _____ 1) 8 tenths _____ 2) 9 tenths _____ 3) 3 tenths WRAP UP A decimal number is a number with a decimal point. It tells that thenumber is less than a whole or part of a whole. 3

ON YOUR OWNA. Convert the shaded parts into fractions and give the decimal form._____ 1) _____ 2) _____ 3) _____ 4) _____ 5)B. Give the decimal form. _____ 4) 4 tenths _____ 5) 7 tenths _____ 1) 5 tenths _____ 2) 1 tenth _____ 3) 2 tenthsCheck your answers with the answer key.If you get 8 to 10 correct answers, you have mastered the skills in this module andyou may proceed to the next.If you get 5 to 7 correct answers, review the processes you missed.If you get 4 correct answers or below, repeat the whole process. 4

GRADE IV PLACE VALUE OF DECIMAL NUMBERSObjective: Name the place value of each digit of a given decimal number. REVIEWA. Give the place value of the underlined digits of the whole number._____ 1) 24 067 _____ 6) 2 222_____ 2) 2 649 _____ 7) 37 498 116_____ 3) 416 290 _____ 8) 61 263 413 201_____ 4) 361 243 101 _____ 9) 269 216 3000_____ 5) 358 _____ 10) 361 247 Check your work using the key to correction. If you scored 4 to 5, youmay now move on to the next lesson. If you scored 3 or below, review thelessons on how to find the perimeter of a plane figure? STUDY AND LEARN Marc has 10-centavo coins in his pocket. The coins total to 3.20. How many 10-centavo coins does Marc have?How do you get the answer to the problem above? 1. Use play or real money in finding how many 10-centavo coins are there in 1.00, 5.00 and 0.50. 2. With the findings, discover the pattern and find out if the answer to the problem is correct. 1

EXAMINE CLOSELY THE PLACE VALUE CHART BELOW:Thousands Hundreds Tens Units Decimal Points Tenths Hundredths Thousandths Ten Thousandths Hundred Thousandths 3. 2 0 3. Bear in mind that the place holders of whole numbers are before the decimal point while the decimal number are after the decimal point. The following are some examples:Hundreds Tens Units Decimal Points Tenths Hundredths Thousandths Ten Thousandths Hundred Thousandths 9 3 .9 1 2 0 . 14 4 9 . 368 0 . 005341 2 . 2460 5 2 . 123 4. From the value chart above let us give the value of each digit For example letter f. DIGIT MEANS VALUE 5 = 50 2 = 2 1 = 0.1 2 = 0.02 3 = 0.003 2

HundredsTRY THESE Tens UnitsA. Draw a place value chart on your paper and write the following decimal numbers. Decimal Points Tenths1.2. Hundredths3. Thousandths4.5. Ten ThousandthsDecimal Numbers Hundreda) 10.02 Thousandthsb) 246.24156 c) 2.241 d) 36.0045 e) 101.29880B. Read the problem and answer the questions that follow. Estela earned 92.75 from the sale of her banana fritters. She gave this amount to her mother for daily expenses. What kind of a girl is Estela? helpful 1. What is the place value of 9? 2. What is the place value of 2? 3. What is the place value of 7? 4. What is the place value of 5? 5. What is the value of 7? 6. What is the value of 9? 3

WRAP UP Decimal numbers, just like whole numbers have place values.Likewise, the value of each digit depends on its place or position in thenumber. The decimal point is the boundary between whole numbers partand the decimal part of the whole numbers.ON YOUR OWNA. Identify the place value of the underlined digit in each given numeral.____ 1) 21.614 ____ 4) 428.095____ 2) 37.59 ____ 5) 78.095____ 3) 113.015B. In the numeral 389.756, write the place value of the following digits.____ 6) 9 ____ 9) 3____ 7) 7 ____ 10) 5____ 8) 6C. Copy the words and supply the missing word and corresponding number.Ex.: 861.85 The 5 in the hundredths place means 5 10011. 31.52 The 2 in the _____ place means _____12. 18.653 The 6 in the _____ place means _____13. 6.54893 The 9 in the _____ place means _____14. 47.0543 The 4 in the _____ place means _____15. 174.326 The 7 in the _____ place means _____ 4

GRADE IVEXPRESSING/WRITING MONEY AS PESOS AND CENTAVOS Objective: Express/Write money as pesos and centavos. REVIEWA. Give the place value of each underlined digit.______ 1) 215.05 ______ 4) 5.0052______ 2) 9.13 ______ 5) 18.709______ 3) 14.165 B. Identify the digits of the number 168.324 according to the place value indicated below: ______ 1. Tenths ______ 2. Thousandths ______ 3. Hundreds ______ 4. Tens ______ 5. Hundredths Check your answers using the answer key. If your score is 9 or 10, you may nowproceed to this module. If you get 8 correct answers or be low, review adding numbers with five addends. 1

STUDY AND LEARNRead the story below silently. Then, write money as peso and centavos. Everytime Aling Berta goes to the market, she always buys the needs of her family at the “talipapa” or in the “Palengke ng Bayan”. She finds out that the food stuff in the “talipapa” are much lower than the mall or wet market in big department stores. She is conscious of the amount that she can save every market day. Usually she buys 5 kilos of NFA rice at 27.50 per kilo that amounts to 137.50; 3 kinds of leafy vegetables at 7.25 per \"tali\" amounting to 21.75; galunggong at 75.00 per kilo and buto-buto at 65.00 per kilo. She does not forget to buy salt at 5.00 per \"supot\", brown sugar at 26.00 a kilo. Although this outlook of Aling Berta does not make her family richer, her family budget could afford to save a little for emergency purposes. What kind of mother is Aling Berta? What were the expenses of Aling Berta? 1. Rice – One hundred thirty-seven pesos and fifty centavos 2. Vegetables - Twenty-one pesos and seventy-five centavos - 3 “tali” at seven pesos and twenty-five centavos each 3. Fish - Seventy-five pesos 4. Buto-buto - Sixty-five pesos 5. Salt - Five pesos 6. Sugar - Twenty-six pesos You may express or write money either in figures or in word form. The decimal point is read as \"and\". The pesos and centavos are separated by a decimal point. 2

Try TheseA. Match the amount in words with that of the amount in figures. Column A Column B______ 1. Thirty-six pesos a. 9.15______ 2. Two hundred pesos b. 1 020.00______ 3. Forty-five pesos c. 36.00______ 4. Nine pesos and fifteen centavos d. 200.00______ 5. One thousand and twenty pesos e. 45.00 f. 3.60B. Michael deposited his savings from his allowance. Write the amount of his weekly deposits.______ Week 1 = 2 ten-peso bills and 6 one-pesos coins______ Week 2 = 1 fifty-peso bill and five 5-centavo coins______ Week 3 = 3 ten-peso coins and 1 five-peso coin______ Week 4 = 5 five-peso coins and 2 twenty-five centavo coins______ How much money did Michael save?How do you express/write money?WRAP UP Use the peso sign ( ) when writing pesos and centavos.The decimal point separates the pesos and centavos which isread as \"and\". 3

ON YOUR OWN Read and do what is asked.A. Every lunch time, Ruther eats at the cafeteria since the food there is cheaper compared to the food sold in the store outside the school. Complete the following menu by writing the prices in figures of the prices given. Rice - four pesos and fifty centavos per serving Menudo – twenty-five pesos and fifty centavos per serving Soup - two pesos and twenty-five centavos per bowl Leche Flan - six pesos and ninety-five centavos per slice 1. Rice ____ 2. Menudo ____ 3. Soup ____ 4. Leche Flan ____ 5. How much is the cheapest food? _______ 6. If you want to save, which one will you not buy? _______ How much is it?_______B. Write each amount of money in decimals with the peso sign. ______ 7. 3 pesos and twenty centavos ______ 8. 9 centavos ______ 9. fifteen pesos and five centavos ______ 10. nine hundred pesos and seventy-five centavosC. Write the total amount of each number on your paper. ______ 11. 4

_______ 12. ________ 13. ________ 14. _________ 15.Check your answers with the answer key. If you get…. 4-5 - Excellent! You may now proceed to the next lesson. 3-2 - You need to review the processes you missed. 0-1 - You need to repeat the whole process. Ask your teacher or elder to help you. 5

GRADE IV ROUNDING DECIMALS TO THE NEAREST TENTHS/ HUNDREDTHS/THOUSANDTHSObjective: Round decimals to the nearest tenths/hundredths/thousandths.REVIEWA. Round off the whole number to the indicated place value._____ 1) 6 754 (hundreds)_____ 2) 58 495 (thousands)_____ 3) 37 638 (tens)_____ 4) 138 754 (ten thousands)_____ 5) 76 850 000 (millions)B. Choose the numerals that will round to the given number at the left._____ 6) 800 ( 748 854 775 )_____ 7) 1 000 ( 1 565 1 040 1 775 )_____ 8) 20 000 ( 20 218 18 999 19 635 )_____ 9) 95 000 ( 94 750 95 500 95 475)_____ 10) 8 000 000 ( 8 900 000 8 525 000 8 300 000 ) STUDY AND LEARNA. Study the problem opener. During the Palaro ng Bayan, Aris ran the 100-meter dash in 11.843 seconds. Mike ran the same event in 11.861 seconds. Who is faster between the two runners? 1

Let us use the decimal numbers in the problem.Analyze the number line.11.800 11.820 11.840 11,860 11.880 11.900 11.810 11.830 11.850 11,870 11.890- How many seconds did it take Aris to cover the 100-metre dash? 11.843 seconds- Locate this in the number line.- Let us round the number 11.843 to the nearest tenths.- Where is it close to? 11.800 or 11.900- What time was utilized by Mike to cover the 100-metre dash? 11.861 seconds- Locate this in the number line.- Where is it close to? 11.800 or 11.900Therefore, 11.843 rounded off to the nearest tenths is 11.8 and 11.861 rounded off tothe nearest tenths is 11.9.B. Let’s discover the pattern in rounding off decimals. Examine the examples below.0.3168 rounded to tenths = 0.3 rounded to hundreds = 0.32 rounded to thousands = 0.3170.2871 rounded to tenths = 1.3 rounded to hundredths = 1.29 rounded to thousandths = 1.287- What will you consider when rounding decimals. (The digit to be rounded and the number to the right of it.)- What happens to the digit of the place value you are rounding if it is 5 or higher; or lower than 5? (Add 1 to the digit to be rounded if 5 or higher retain the digit if less than 5.) 2

TRY THESEA. Round off the following to the nearest value asked. Tenths Hundredths Thousandths1) 8.72562) 12.63213) 87.05684) 22.00545) 35.1069B. Round off to the place value of the underlined digit.______ 1) 0.653 ______ 4) 12.4623______ 2) 0.467 ______ 5) 4.1832______ 3) 6.8321 WRAP UPHow do we round off decimals to the nearest tenths? Nearest hundredths? Nearestthousandths? To round off decimals to the nearest tenths, hundredths and thousandths, we consider the digit to be rounded off and the number to the right. Add 1 to the digit to be rounded off if the digit to the right is 5 or higher. Otherwise retain the digit. 3

ON YOUR OWNA. Round off the following to the indicated place value: ______ 1) 0.6542 (nearest tenths) ______ 2) 0.9568 (nearest thousandths) ______ 3) 10.2346 (nearest hundredths) ______ 4) 73.6834 (nearest thousandths) ______ 5) 25.1934 (nearest tenths)B. Complete the table. Nearest Tenths Nearest Nearest Thousandths Hundredths1) 89.62732) 0.84953) 5.06374) 347.96415) 93.4672 4

GRADE IVADDITION OF DECIMAL NUMBERS THROUGH HUNDREDTHS WITHOUT AND WITH REGROUPING Objective: Add decimals through hundredths without and with regrouping.REVIEW For some time now, you have learned to add numbers without and withregrouping. Before we go to our next lesson, review some exercises to refresh yourskill in addition.A. Give the sum of the numbers in the boxes following the numbers 1 to 8. Copy and answer this in your notebook. 1) 2) 3) 326 832 8) 714 + 122 651 625 373 4) 440 706 7) 6) 5)Check your answers usingSTUDY AND LEARNDo you know the birthdays of your loved ones? What gift do you give them? Whatdoes it show when you give them a present or gift? Is it nice to be thoughtful? Why? Mary bought a white tussle, 0.95 m long, to decorate the box where her mother’s gift was nicely enclosed. She also used a 0.50 m long red ribbon to tie around the box. If both tussle and ribbon are measured, how long will they be? 1

How are you going to find the answer? To find out, add 0.95 and 0.50. Since hundredths must be added tohundredths, tenths to tenths, and ones to ones, it is important to “have thedecimal points in line.”Line up the decimals. Add:0.95 0.950.50 + 0.50 1.45 Always place the decimal point in the answer exactly below the decimalpoints of the addends.The total length of the tussle & ribbon is 1.45 meters.TRY THESEA. Add the following: 2) 0.92 3) 0.55 + 0.16 + 0.05 1) 0.6 + 0.7 5) 0.60 6) 0.06 + 0.95 0.3 4) 0.03 + 0.28 + 0.61 9) 0.139 7) 0.19 8) 0.03 0.06 0.24 0.5 + 0.8 + 0.14 + 0.5010) 0.34 + 0.95B. Arrange in columns then add. 1) 0.08 + 0.9 + 0.31 = 2) 0.89 + 0.05 + 0.50 = 3) 0.65 + 0.29 + .03 = 4) 0.52 + 0.06 + 0.14 = 5) 0.01 + 0.23 + 0.08 = 6) 0.75 + 0.59 + 0.75 = 2

7) 0.34 + 0.17 =8) 0.25 + 0.25 + 0.03 =9) Add 0.69 to the sum of 0.37 and 0.7910) Find the sum of 0.47 + 0.36 + 0.12 =WRAP UPHow do you add decimal numbers without or with regrouping?In adding decimal numbers follow these steps:Step 1. Align the decimal pointsStep 2. Add like adding whole numbers. Regroup if necessary.Step 3. Place the decimal point exactly below the decimal points of the addends.ON YOUR OWNA. Add: 2) 0.08 3) 0.9 + 0.6 + 0.09 1) 0.9 + 0.03 5) 0.25 + 0.9 4) 0.61 + 0.9B. Answer the following: 1) What is the sum of 0.72 and 0.49? 2) Increase 0.57 by 0.38. 3) Add 0.46 to 0.78 then add 0.16 to their sum. 4) Find the sum of 0.47 and 0.36 and 0.12 5) Add 0.69 to the sum of 0.37 and 0.79 3

GRADE IVADDITION OF MIXED DECIMALS WITH OR WITHOUT REGROUPINGObjective: Add mixed decimals with or without regrouping.REVIEWDo these exercises in your notebook.A. Find the sum by adding horizontally and vertically. 0.3 0.36 0.8 0.9 0.7 0.22 0.11 0.4 0.5B. Answer the following: a. 0.89 more than 0.8 is _____ b. 0.06 added to 0.79 gives _____ c. Increased 0.47 by 0.07, the answer is _____ d. 0.19 and 0.62 are put together, the result is _____ e. 0.63 more than the sum of 0.06 and 0.85 is _____Did you align the decimal point of each number before adding them? Check your answers using the answer key. If you have a score of 10 – 12, youmay proceed to this module. If you get 9 correct answers or below, go back to yourpast lessons. 1

STUDY AND LEARN Mother wants to prepare “pinakbet” for lunch. Can you help her get or buy thevegetables for the menu? Are you helpful to your mother every time she needs help?In what way?A. Observe closely the prices of vegetables in the vegetable stand in the market.Eggplant 60.00/kilosquash 50.50/kilosayote 40.50/kilostring beans 55.00/kilocarrots 62.50/kilokangkong 22.00/kilo1. If mother buys all the vegetables listed in the vegetable stand, how much money will she spend? 290.502. What operation will you use to know the entire cost of the vegetables? AdditionB. Mother has the following amount of money in her wallet:1. How much money does she have in all? How can you solve the problem accurately? List down in column the amount of money according to denominations.2. What operation will you use? Addition 2

3. Let’s do the calculations. 100.00 The total amount of money in mother’s 100.00 wallet is 381.50 100.00 50.00 20.00 10.00 1.00 0.25+ 0.25 381.50C. In mother’s menu, she listed the exact weight of vegetables to be used. What are these? Vegetable Weight Okra 1.25 kg. 1.8 kg. Eggplant 1.20 kg. Squash 1.50 kg.String Beans 1.75 kg. Sayote 1.25 kg. Kangkong1. What process will you use to know the exact weight of vegetables to be used by mother? Addition2. What is the exact weight? 8.75 kgAnalysis 3. How did you write the given numbers? Written in columns 4. Why did you write them in columns? So we can add the digits according to place value 5. What separates the whole numbers and decimal numbers? decimal point 6. What process is to be used? Addition 7. What do we call these numbers? mixed decimals 3

TRY THESEAdd the following: b. 5.92 c. 8.55 d. 7.03 e. P1.85 + 0.16 +2.05 +2.61 + P1.35 a. 1.6 + 3.7f. 15.06 + 3.2 + 8.95 =g. 7.16 + 9.20 =h. 16.50 + 89.25 =i. 4.65 + 2.15 + 1.55 =j. 9.55 + 8.15 + 7.90 = WRAP UP In adding mixed decimals, follow these steps: Write the numbers or addends in columns, aligning the decimal points. Add as in whole numbers. Place the decimal point in your answer exactly below the decimal points of the addends. 4

ON YOUR OWNA. Add the following: a. 7.9 b. 18.03 c. 5.9 d. 52.61 e. 8.25+ 12.03 + 26.6 + 12.09 + 15.7 + 6.9f. 7.95 g. 21.81 h. 12.03 i. 0.95 + 12.02 + 3.91 + 5.6 + 2.60j. 6.25 + 12.65 = k. 15.06 + 3.2 + 8.95 = l. 9.52 + 8.06 + 7.9 =Check your work with the key to correction.If you score 10 – 12, you may proceed to the next module.If you score 6 – 9, review the items you missed.If you score 0 – 5, repeat the whole process. 5

GRADE IVSUBTRACTION OF DECIMALS THROUGH HUNDREDTHS WITHOUT AND WITH REGROUPINGObjective: Subtract decimals through hundredths without and with regroupingREVIEW Your previous lesson talked about addition of decimals without and with regrouping.This time you must also learn to subtract decimals without or with regrouping throughhundredths. But before going further, let us recall some skills related to our new lesson.A. Subtract the outer number from the middle number. The first one is done for you. 44 263 143 118 2517 32 351- 69- 234 125 41 56B. Give the place value of the underlined digits in the following decimals. a) 0.42 ____ b) 0.38 ____ c) 1.03 ____ d) 5.48 ____ e) 12.06 ____ 1

STUDY AND LEARNA. Study the problem below to understand clearly the lesson. Mrs. Rivera bought 0.5 kg. of liver. She used 0.3 kg. in cooking mixedvegetables. How much liver was left?Subtract to find the answer. 0.5 – 0.3 = The number line shows how the subtraction process is done. 0.5 Solution: 0.3 50 1 2 3 4 5 6 7 8 9 1010 10 10 10 10 10 10 10 10 10 10 0.5  100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 3 - 0.3  10 2 0.2  10Answer: 0.2 kg. of liver was leftB. Study another example: 4.8 – 1.6 = Subtract the tenths. Subtract the ones. Check answer. 4.8 4.8 1.6 - 1.6 - 1.6 + 3.2 2 3.2 4.8 2

WRAP UP To subtract decimals, we have to align the decimal points. Then we subtract decimals just like we subtract whole numbers. Be sure to put the decimal point in the answer. The answer is called difference.TRY THESEA. Subtract the following:1. 0.73 2. 0.83 3. 0.47 4. 0.85 5. 0.52 - 0.42 - 0.51 - 0.23 - 0.10 - 0.286. 0.57 7. P0.80 8. P0.37 9. 0.85 10. 0.56 - 0.18 - 0.25 - 0.35 - 0.37 - 0.38B. Write the decimals in columns then subtract. 1. 0.65 – 0.40 = 2. 0.12 – 0.05 = 3. 0.67 – 0.43 = 4. 0.62 – 0.03 = 5. 0.75 – 0.25 =C. Read and solve the problem.1. Some boy scouts hiked a distance of 0.75 kilometer in the morning and 0.43 kilometer in the afternoon. How much farther did they hike in the morning than in the afternoon? (0.75 – 0.43)2. In a long jump competition, Emma recorded 0.85 meter while Lina has a record of 0.48 meter. How much farther did Emma jump than Lina? 3

ON YOUR OWN 4. 0.92 – 0.8 = 5. (0.96 – 0.6) – 0.19 =A. Subtract the following: 1. 0.81 – 0.6 = 2. 0.85 – 0.10 = 3. 0.9 – 0.26 = 4

GRADE IV SUBTRACTION OF MIXED DECIMALS THROUGH HUNDREDTHS WITHOUT OR WITH REGROUPINGObjective: Subtract mixed decimals through hundredths without or with regroupingREVIEWFind the difference.1. 0.51 2. 0.72 3. 0.84 - 0.38 - 0.56 - 0.454. 0.60 5. 0.90 - 0.27 - 0.63 STUDY AND LEARNA. Read and analyze this problem. At the start of summer, the water level at La Mesa Dam stood at 1.3 meters. By the end of summer, it dropped by 0.4 meter. What was the water level at the end of summer?B. Answer the following: 1. What are the given facts? 1.3 meters and 0.4 meters 2. What is asked? The water level at the end of summer. 3. How will you find the answer? Subtract 1.3 meters by 0.4 meters 1

C. Let us use the number line to find the answer. 0.4 0.90 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.3D. Using the short-cut method. 1.3 - 0.4 0.9E. Using the examples which involve without and with regrouping/renaming of numbers. 1.86 2 11 17 1.19- 0.65 - 0.42 3.27 1.21 - 1.48 0.77 1.79WRAP UP Subtracting mixed decimals is just like subtracting wholenumbers. When subtracting mixed decimals, be sure the decimalpoints are in column. Regroup as needed. 2

TRY THESEA. Find the difference.1. 4.4 2. 8.7 3. 8.6 4. 5.8 - 2.3 - 6.4 - 4.2 - 4.55. 9.8 6. 4.62 7. 27.4 8. 7.24 - 6.9 - 1.49 - 13.7 - 6.959. 32.06 10. 83.78 - 5.98 - 46.55B. Arrange in columns and subtract. 6) 98.25 – 22.05 = 7) 14.61 – 3.53 = 1) 8.70 – 3.0 = 8) 73.05 – 12.68 = 2) 49.7 – 25.45 = 9) 10.17 – 6.09 = 3) 7.2 – 3.0 = 10) 358.1 – 101.11 = 4) 92.7 – 14.8 = 5) 25.9 – 15.4 =ON YOUR OWNA. Subtract the following.1. 7.2 2. 34.8 3. 95.6 4. 27.9 5. 701.2 - 3.0 - 12.4 - 13.9 - 15.5 - 556.09 3

GRADE IVANALYZING ONE STEP WORD PROBLEMS INVOLVING ADDITION OR SUBTRACTION OF DECIMALS Objectives: Analyze one step word problems involving either addition or subtraction of decimals including money through: a. Telling what is asked, the given facts, and correct operation to be used b. Transforming the word problem into a number sentenceREVIEWPerform the indicated operations in your notebook.1) 634.74 3) 215.15 28.03 71.28 + 172.5 +27.532) 97.09 4) 127.8 146.7 - 53.47 + 375.136 5) 42.56 -18.9 1

STUDY AND LEARN Let’s read and answer the problem. Luz bought a cartolina worth 8.75 and colored papers at 24.50. How much did she pay for these items? Answer the following questions: - Who bought the cartolina and colored papers? Luz bought them - Where do you think she will use these things? In her assignment/project - If you buy something from the store, what do you ask for? ask for a receipt - What do you call 8.75 and 24.50? cost of the materials bought - If you were Luz and you still have extra money, would you still buy other things besides the items bought? Why? No, because it is not wise to buy things unplanned or not neededLooking back at the problem above, you should be guided by some questions beforeyou solve the problem, namely: 1. What is asked? 2. What are given? 3. What operations to be used? 4. What is the mathematical sentence?Furthermore, complete the following questions when you analyze the problem. 1. The problem asks for _____. 2. The given facts are _____. 3. The operation to be used is _____. 4. The mathematical sentence is _____. 2

As for the problem analyzed above, how many operations are involved? Only one. Therefore, the problem is a one-step problem. TRY THESEAnalyze each problem by using the guide questions below. Answer in your notebook. - What is asked? - What are the given data? - What operation will you use? - What is the mathematical sentence? 1. John swam a distance of 0.4 km. Daniel swam a distance of 0.62 km. How much farther did Daniel swim than John? 2. Henry weighs 48.2 kilograms, while his friend Carlos weighs 50.5 kilograms. What is the total weight of the two boys? WRAP UP In analyzing 1-step word problems involving either addition or subtraction of decimals, follow the steps below. Step 1. Know what is asked. Step 2. Know the given facts. Step 3. Determine the process to be used. Step 4. Write the mathematical sentence. 1. 3

ON YOUR OWNFor each problem, answer the guide questions below. Do this on your paper. 1. Atty. Sison paid 450.00 for a pair of shoes and 375.50 for a shirt. How much did he pay in all? 2. Shaira ran a 100-meter dash in 15.3 seconds, then for the second time, it took her 11.50 seconds. How many seconds less was the second recorded time than the first one? Guide Questions 1. What is asked in the problem? 2. What are given? 3. What is the process to be used? 4. What is the mathematical sentence? 4

GRADE IV WORD PROBLEMS INVOLVING EITHER ADDITION OR SUBTRACTION OF DECIMALSObjectives: Solve word problems involving addition or subtraction of decimals including money.REVIEWA. Copy and complete each table by adding or subtracting the decimals horizontally and vertically.1. Addition of decimals 2.5 answer 0.25 3.75 0.05 3.2 5.1answer2. Subtraction of decimals answer 65.7 23.36 7.95 4.02answer 1

STUDY AND LEARNLet’s analyze and solve the following problems. A. A notebook is on sale for 13.00 and an eraser for 3.75. How much will both cost? 1. What is asked in the problem? The total cost of the notebook and the eraser. 2. What are the given facts? 13.00 the cost of notebook and 3.75 cost of eraser 3. What is the word clue? both 4. What operation will you use? Addition 5. What is the mathematical sentence? 13.00 + 3.75 = n 6. What is the answer? 16.75 B. A set of coloring book costs 65.55 and a box of colored pen costs 48.95. How much more was the cost of the set of coloring book than the box of colored pen? 1. What is asked in the problem? How much more was the cost of the set of coloring books? 2. What are the given facts? 65.55 – cost of coloring book and 48.95 – cost of colored pen 3. What is the word clue? much more 4. What operation will you use? subtraction 5. What is the mathematical sentence? 65.55 – 48.95 = n 6. What is the answer? 16.60 Try TheseRead the following word problems. Answer the questions that follow. A. Sally filled 2.5 boxes with notebooks. She filled another 3.25 boxes with books. How many boxes did she fill? 2

1. What is asked in the problem? 2. What are the given facts? 3. What is the word clue? 4. What operation will you use? 5. What is the mathematical sentence? 6. What is the answer?B. Efren bought 125.50 worth of fruits while Dina bought 215.00 worth of fruits. How much more did Dina buy? 1. What is asked in the problem? 2. What are the given facts? 3. What is the word clue? 4. What operation will you use? 5. What is the mathematical sentence? 6. What is the answer?C. Mike got 150 for his birthday. He wanted to buy a pair of shoes for 237.25. How much more does he need? 1. What is asked in the problem? 2. What are the facts? 3. What is the word clue? 4. What operation will you use? 5. What is the mathematical sentence? 6. What is the answer? WRAP UP When solving a problem involving either addition or subtraction of decimals including money, identify what is asked, the given facts, the word clue, operation to be used, and the mathematical sentence. Align the decimal points before adding or subtracting. Always remember to put the label. 3

ON YOUR OWNSolve the problems. 1. Gracia needs 15.5 m of cloth for her sala set and 35.62 m for window curtains. How many meters of cloth does she need in all? 2. Meda spends 260.45 for snacks and 150.00 for fare to school every week. How much does she spend weekly for her snacks and fare? 3. On her birthday, Nancy received 150.00 from her grandmother. How much more does she need if she wants to buy a pair of shoes worth 250.00? 4. Arnold is 176.02 cm tall. Henry is 155.40 cm tall. What is their total height? 5. Emma had 5.5 rolls of white cloth. She used 3.8 rolls for uniform. How many rolls of cloth did she have left? 4

GRADE IVANALYZING 2-STEP WORD PROBLEMS INVOLVING ADDITION AND SUBTRACTION OF DECIMALS Objectives: Analyze one to two-step word problems including addition and subtraction of decimals including money. Transform one to two-step word problems including addition and subtraction of decimals into a number sentence. REVIEW 2) 3.05 3) 63.04 + 12.51 + 28.67A. Add. 1) 6.35 5) 21.02 3) 4.57 + 7.87 + 39.78 - 2.68 4) 21.78 2) 3.89 + 38.62 - 2.67B. Subtract. 5) 59.78 1) 7.87 - 21.29 - 6.34 4) 38.62 - 21.78 1

STUDY AND LEARN Read the problem carefully. Below it are guide questions to help you analyze theproblem. Bernie saved 17.00 from his allowance last week and 9.50 thisweek. If he used 7.25 for buying a ballpen, how much money would hehave left?What is asked? Money left with BernieWhat are the given 17.00, 9.50 and 7.25facts?What is the hidden The total savings of Berniequestion? Addition and subtractionWhat are theoperations to be used?What is the ( 17.00 + 9.50) - 7.25 = nmathematicalsentence?Can you now solve math problems which involve addition and subtraction ofdecimals? Do the next activities to test the skills you have learned. 2

TRY THESEChoose the letter of the correct answer. Romy bought a glass of buko juice for 10.00 and a banana cue for 7.50. How much was his change if he gave 50.00?_____ 1. What is asked in the problem?_____ 2._____ 3. a. Romy’s change from his 50.00_____ 4. b. total cost of buko juice and banana cue c. amount he had d. amount of money given to him What are the processes to be used to solve the problem? a. addition and division b. addition and multiplication c. addition and subtraction d. subtraction and division What is the hidden question? a. How much money did he pay in all? b. How much change did he receive? c. How much does he have in his pocket? d. How much money did he save? What is the mathematical sentence? a. 50.00 ÷ ( 10.00 + 7.50) = n b. 50.00 x ( 10.00 + 7.50) = n c. 50.00 – ( 10.00 + 7.50) = n d. 50.00 + ( 10.00 + 7.50) = n 3

WRAP UP Before solving a 1 to 2-step word problem, analyze and understand the problem. Follow the guide questions below. 1. What is asked? 2. What are the given facts? 3. What is the hidden question? 4. What are the processes to be used? 5. What is the mathematical sentence? ON YOUR OWNA. Analyze the problem and answer the questions that follow. Mr. Venturenza bought a pair of leather slippers for 150.95 and a set of hankies for 29.75. How much change did he receive from his 500 – peso bill? 1. What is asked in the problem? 2. What are the given facts? 3. What is the hidden question? 4. What operations will be used? 5. What is the mathematical sentence? 4