Example 6: Aunt Mitang bought a glass coaster, a serving plate, and a glass vase. The E coaster and the plate cost P9460 altogether. The plate and the vase cost H4925 altogether. The cost of the plate is half the cost of the vase. How much did She pay for the coaster? P94.60-l Cheryl's answer: I will draw a picture to gure out the problem. .. 9149.25 If the cost of the plate is half the cost of m the vase, then the cost of the vase is twice the l ofvase twice of plate P149.25 -... cost of the plate. This means that if I divide H4925 by 3, I "m will get the cost of the plate, which is ?49.75. 949.75 r4915 r4975 Since the cost of the coaster and plate is ?94.60, then I can get the cost of the coaster by subtracting P4975 from P9460. This means that the cost of the coaster is ?44.85. r9450 _1 P4485 P4915 M Lag] ' Explore I. Work in groups to do this task. Draw a picture to solve the given problem. Write your answer and solution on a separate sheet of paper. Cindy bought a marker pen, 2 packaging tapes, and 8 plastic folders for P182.50. The cost of a marker pen and a packaging tape was ?76.25. The cost of a packaging tape and 2 plastic folders was P5375. How much did she pay for the plastic folder? /'\\.___ [.22] Check Your Understanding, A- Write the addition or subtraction sentence that corresponds to each picture. Then, write the value of N in the blank. . "-__---_- '--' 4a B. Read and answer each question orally. 1- Why do you need to align the decimal points when adding or subtracting decimals? 2. Think of a place value and tell why annexing 0 at the end of the decimal does not change the value of the decimal. Example: 0.2 = 0.20 = 0.200 = 0.2000 and so on. How do you add decimals? How do you subtract decimals? How Will you add 12.0584, 549.0123, and 98.0314? How will you get the difference between 30.04 and 19-563? . e Practice L A. Find the sum or difference. 9915999 1. 56.083 28.93 4. 8.049 + 7.35 + 51.87 + 3.07 2. 25.37 + 9.412 5. 93.78 (45.87 12.16) 3. (19.406 + 7.52) 8.63 6. (148.703 84.32) + 35.6 B. Solve these. Write the answers in the blanks. 1. What number will you add to 892.0452 to get 978.3? 2. What is the difference between 53.6 and the sum of 23.048 and 9.76? _ 3. What will you get if you take away ?708.15 from P967707 __ 4 What will be the result if you add 304.287 to the difference of 712.14 and 467.32? 5. How much less is the difference between 79.345 and 35.93 than their sum? @ Remember ............................................................. . To add or subtract decimals and mixed decimals: ' Align the decimal points and the digits that belong to the same place value position. Put zeros as placeholders in the decimal part of the numbers, whenever necessary. Then, add or subtract the numbers the way you add or subtract whole numbers. :- ' Align the decimal point of the sum or difference to the decimal points of the numbers. ------------------------------------------------------------------------------------ Do this with your parent, guardian, or tutor. Look for educational websites on the internet to find out more about adding and Subtracting decimals and mixed decimals without or with regrouping. ' You may also use the key phrase \"adding and subtracting decimals and mixed decimals without or with regrouping" for search engines on the Internet and other websrtes. Write the link of your favorite website below: 49 GOO Quiz Fill in the blanks to make true statements. 1. The sum of 12.31 and 23.003 is 2. If 34.08 is subtracted from 57.9, the result is 3. If is added to 35.79, the result is 84.2. 4. The difference between 237.35 and 180.2 is 5. If 284.53 is increased by . , the result is 304.9. 6. If 305.8 is decreased by the result is 198.34. 7. Rosalie traveled 24.3 km by bus and then another 14.8 km by train. She traveled km, altogether. 8. The length and width of a rectangle are 12.84 cm and 8.93 cm, respectively. Its perimeter is 9. The perimeter of a square is 124.28 cm. The length of a side is 10. Mang Andoy, a carpenter, earned P1,750.85 last week and P2,054.70 this week. Altogether, he earned in two weeks. V Apply A. Refer to the list of the total number of Internet users (in millions) in some Southeast Asian countries in 2017. Then, answer the questions that follow. Brunei - 0.306 Vietnam - 49.741 Hong Kong - 6.066 Indonesia - 65.525226 Laos - 1.258 Malaysia - 24.384952 Philippines - 56.956436 Singapore - 4.6832 Thailand - 32.398778 Source: CIA World Factbook 1. How many Internet users were there in Hong Kong and Brunei combined? 2. How many more Internet users were there in Indonesia than the Philippines? 3. Which country had fewer Internet users, Thailand or Malaysia? How many millions fewer? 4. How many Internet users were there in Vietnam, Laos, and Singapore altogether? 5. If you combine the number of Internet users in Vietnam and Malaysia, will it be more or less than Indonesia? How many more or less? 50B. Solve these problems. 1. Maybel saved a part of her earnings from selling fruits each week. On the first week,' She saved P354-75. 0n the second week she saved H6425 less than the first week- How much money did she save in two weeks? Maybel's Savings account balance earned H9372 interest and 50 her total balance now is ?6,651.06. What was the balance in her savings account before she earned the interest? Maybel withdrew some money from her savings account to buy a gift for her mother. She went to a department store that was having a big sale and bought a beautiful dress at ?750.95 and a purse for B7525. After paying for the merchandise, she had P773.80 left. How much money did she withdraw from the bank? c, _Find the perimeter of each polygon. 1. 2.96 2. 3. P 2.51 cm A Y R X 6cm - 4.12 m D 2.17 cm C c Z . 53 : Try This Challenge: A. Some of these problems have hidden questions. Answer them first. Then, use the result to solve each problem. Show your solution. 1. Raul, who lives 1.058 km away from his friend's house, walks to see his friend and asks him how to fix a bicycle. From his friend's house, he goes to a store to buy spare parts. At this point, Raul has walked a total distance of 2.3 km. How far away is the store from his friend's house? ' Josef had a coil of copper wire from which he cut 2 pieces. The first piece was 1.025 m long and the Second was 0.08 m shorter. After cutting the second piece, 2.5 meters of copper wire were left in the coil. What was the original length of the coil of . wire? Annette bought 12.5 meters of cloth material. She used 2.7 m of the material to sew a pair of pillowcases. She also used 4.35 m for a tablecloth and the rest for curtains. How many meters of cloth did she use to make the curtains? 51 evaporated milk cost P8390 together. Two cans 4. A can of powdered milk and a can of 8.05. How much is a can of Of evaporated milk and a can of powdered milk cost P11 POWdered milk? How much is a can of evaporated milk? 5. How much will you pay if you buy the following grocery items: 2 bars of laundry soap at P1850 each, 3 sachets of laundry powder at P475 each, and a sachet of fabric softener at P625 each? B. Do these. _ 1. Write an addition or subtraction problem involving the following decimals: 18.75, 2.25, and 3.50. 2. Write an addition or subtraction problem involving your allowance and expenses yesterday. 3. Monitor your family's weekly market expenses. List them down. Compute your family's total market expenses for the week. 4. Monitor your school expenses for this week. List them down. Compute your total school expenses for this week. Q Reflect and Resolve, Color the star green if you clearly understand the lesson. Color the star orange if you have some questions. Color the star red if you need help. Now, I know and I can: * add and subtract decimals and mixed decimals through ten thousandths without or with regrouping; solve one or more steps routine and nonroutine problems involving addition and/or subtraction of decimals and mixed decimals using appropriate problem-solving strategies and toolsj and create problems (with reasonable answers) involving addition and/ or subtraction of decimals and mixed decimals. Answer each question. 1. What question / 5 do you have about the exercises and the lesson on adding and subtracting decimals and mixed decimals without or with regrouping? 2. How can you apply this lesson in real life? 3. How can you make your work better? Complete the statement below. To improve, I will 52