Mathematics

Learning Task 1. Divide and check. Write your answer in your notebook. 1. 0.1 rm 3. 0.001|5.I 5. 0.1 W 2.0.0ll0.96 4. 0.0l|6.25 Learning Task 1. Enumerate the 4 steps in solving simple problems. Write the hidden questions for every step. Step 1. Step 2. Step 3. Step4. D Multistep word problems are combination of fundamental operations which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. teaming Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer. Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an ofce clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year? Learning Task 1. Find the quotient and check. Write your answer in your 1. 0.8I208 2. 0.5l355 3. 0.6I312 Learning Task 2. Solve and identify if the decimal quotient is a terminat- ing or repeatingonterminating decimal. Write your answer in your note- book. 1. 3 +20 2. 9 + 40 3. 2+ 11 4. 6+ 13 5. 5 + 16 E Learning Task 3. Write the given fractions in decimal numbers or vice versa. Write your answer in your notebook. 1 . 2. 3 3. 2 20 4. 0.25 5. 0. 333 A Vinculum. A horizontal line placed over an expression to show that everything below the line is one group. For example in a decimal number 0.333 , this means that 333 which is under the bar is repeated in the same pattern. This is a repeating non terminating decimals Learning Task 4. Identify what kind of decimal number are the following. Choose the letter of the correct answer. Write your answer in your note- book. 1. 0.375 A. Nonrepeating Decimals B. Repeating or Nonterminating Decimals C. Terminating Decimals 2. . 0.2380952380952 A. Nonrepeating B. Repeating/Nonterminating C. Terminating 3. 7.689689 A. Nonrepeating Decimals B. Repeating or Nonterminating Decimals C. Terminating Decimals 4. 0.15 A. Nonrepeating B. Repeating/Nonterminating C. Terminating 5. 5. 645345 A. Nonrepeating B. Repeating/Nonterminating C. TerminatingLearning Task 3. Solve the given problems using the 4steps in solving word problems. Write your complete solutions in your notebook. 1. A clerk is paid P 45.50 per hour for 40 hours per week, 1.50 times the regular rate for overtime and double the regular for a holiday. How much does the clerk get if he works overtime for 3 hours and 5 hours on a holi day? 2. Sarah works 8.5 hours a day from Monday to Friday and 6.75 hours on Saturday. If she is paid P 55.25 per hour, how much does she earn in a week? 3. Mr. Paron sells fruits in the market. Banana costs 25 pesos per kilo gram and grapes costs 180 pesos per kilogram. A customer bought 5.25 kilos of banana and 3.75 kilograms of grapes. How much will the custom er pay? A When the time that you have mastered on how to solve problems and can be able to analyze it. You can answers problems as fast as you can without using the steps. If you can solve problems critically, we can also create our own problem. Learning Task 4. Create a simple problem using the given data. Solve and write your answer in your notebook. 1. 80 pineapples at P 15.25 each 3 pineapple got rotten, sold the rest at P 20.00 each Amount of gain. 2. adult ticket costs P 25.75; student ticket costs P 15.75. Costs of 3 adult tickets and 4 student tickets. 3. P 45.55 per hour in a regular day; 2.5 times of regular rate for over- time; 8 hours per regular day and 4 hours of overtime; Total amount of pay receive. 4. 8.75 kilometers per day; 6 round trips each day; total kilometers. 5. Mila - 0.75 hour; Carol 0.25 times faster; how long will it take carol to clean the kitchen? Learning Task 1. Classify each number as a rational number and an irra- tional number. Write R for rational number and IR for irrational number in your notebook. 1. -6 2. V7 3. 6.48 4. II 5. 3/9Learning Task 2. Divide and check. Write your answer in your notebook. Ask your parents to use stop watch 0 record your progress in answering the given task. 1.1008102 310000960 5. 10 [2.63 2. 10 [72.09 4, 100 [6.903 6.1000F.943 Learning Task 3. Solve the problem carefully by answering the questions below. Use the 4Step in solving word problems. Write your answer in your notebook. 1. Mrs. Andres has P 35 345.85, she wants to give it to the victims of Mt. Taal eruptions in Batangas, Philippines. How much will each family re ceive if she decides to give it to 10 families? 2. What if Mrs. Andres decides to divide it to 100 families, how much will each family receive? What good deeds did she has shown? 3. Jimmy has 50 in his pocket amounting P 90.00. His 10 coins amounting to P 12.00. How many more 50 coins than 10 coins does Jimmy have? A Dividing whole number by 0.1, 0.01 and 0.001 is the same as mul tiplying numbers by 10, 100 or 1 000. On the other hand, dividing 10, 100 or 1 000 is by moving the decimal places to the left the same num ber of zeros in the divisor. Learning Task 4. Choose the letter of the correct answer. Write your an swer in your notebook. i. tht is the quotient when 845.45 is divided by 10? A. 0.84545 B. 8.4545 C. 84.545 D. 845.45 2. tht is 36.79 divided by i00 equal to? A. 0.3679 B. 3.679 C. 36.79 D. 367.9 3. How many times greater is 78.43 than 10? A. 7.843 B. 0.7843 C. 0.07843 D. 0.007843 4. What will be the answer if we divide 7] 3.9 by i 0008 A. 713.9 B. 7] .39 C. 7.3] 9 D. 0.7] 39 5. What is the quotient if we divide 67.54 by i008 A. 67.54 B. 6.754 C. 0.6754 D. 0.06754 Learning Task 3: Solve the following. Problems. Write your answer in your notebook. 1. Every Sunday, .13 carries water for sh vendors at P 22.50 per pail. How many pails of water did he carry if he earned P 382.50 on a Sunday? 2. Rey has 21.25 kgs. of coffee. He wants to put 0.25 kg of coffee per bag. How many bags does he need? 3. Gwen has 4 times as much money as her sister. If Gwen has P 604.80, how much money does her sister have? 4. 4. Joy is planning to buy a new cellphone worth P 14 552.75. She tries to save P 582.11 a week from her allowance. How many weeks will it take her to save the amount enough to buy the cellphone? 5. Yesterday, Sallie took a trip to visit some family. She covered a total of 135.75 miles without making any stops along the way, and it took her exactly 1.25 hours to arrive at her destination. At what average speed did she arrive? A Learning Task 4. Identify the following word problems below as A. Rou- tine B. Non-routine C. Multi-step Routine D. Multi-step Non- routine. Write the letter in your notebook. 1. Jenny saves P 107.65 a week. How long will it take her to save P1,614.75? 2. The product of two numbers is 132. If one factor is 6, what is the other factor? 3. I am thinking of a number. Thrice my number minus 4 equals 44. What is my number? 4. There are 20 girls and 19 boys who will equally share the expenses for a bus trip that costs P 4 504.50. How much will each pay? 5. Lei has a necklace 8.3 grams, a ring 6.5 grams, a bracelet lOgrams and an earring 5.5 grams. If she sold these to an amount of P15,300.00, how much does each gram cost? Learning Task 1: Read and analyze the given problem. Answer the given questions in your notebook. Salima bought 6 Tshirts and 4 pairs of pants for P 5 000.00. If the T shirts cost P 250.00 each, nd the cost of each pair of pants. 1. What is asked? 4. What is the number sentence? 2. What are the given? 5. What is the answer to the problem 3. What operation will be used? D In solving routine and non routine problems follow the following steps: 1) Understand and analyze the problem. 2) Determine the given data/ facts. 3) Identify the operations to be used to solve the problem. 4) Write the number sentence and solve. 5) Check your answer. Review and look back f the answer satises the problem. Learning Task 2: Solve the following problem. Write your answer in your notebook. 1. Mang Symon has 1 548 eggs to be delivered to the sarisari store. If the eggs are to be placed in small trays with 12 eggs each, how many trays will be needed? 2. Mang Carlos has 10.5 hectares of land. He wants to divide it into 1.5 hectares each for his sons. How many sons does Mang Carlos have? 3. Aimee bought 9.8 meters of Geena satin cloth. Onefth of the cloth was damaged by rats and the rest was used to make 7 similar blouses. A. How much cloth did she use for each blouse? B. If she sold each blouse for P 178.25, how much money would she receive in all? E Learning Task 3. Solve the given problems. Write your complete solutions in your notebook. 1. Loren has 60 pens stored in boxes. If there are 5 boxes, how many pens must go in each box? 2. Aurum is inviting 16 friends to a party. He has 64 cakes. How many cakes will each friend get? 3. Art's rectangular garden is 25.5 m long and 18.5 m wide. If his fence needs posts that are 2m apart, how many posts does he need? 4. The gross sales in selling sweet potato is P 2 450.00. Each kilo of sweet potato cost P 12.50. How many kilos of sweet potato were sold? 5. Mr. Abner buys 12 gallons of pale green paint to do up the exteriors of his home. He is billed a total of P 7 199.40 for his purchase. How much each gallons cost? A A multi-step routine problem solving involves using two or more arithmetic operations to solve problems that are practical in nature. A multi-step non-routine problem is any complex problem that requires some degree of creativity or originality to solve. It is typically do not have an immediately apparent strategy for solving the problems be- cause it can be solved in multiple ways and it requires HOTS questions. Learning Task 4. Choose the letter of the correct answer. Write your an- swer in your notebook. 1. I am thinking of a number. Thrice my number minus 8 equals 88. What is my number? A. 26 B. 28 C. 30 D. 32 2. The mass of a plastic container together with 24 baseball is 19.25 kgs. If the mass of the container is 15 770 g, what is the mass of each base- ball in kilogram? A. 0. 145 kg B. 0. 151 kg C. 0. 158 kg D. 0. 166 kg 3. Mang Cedrick brought 2 bags of garlic to market. One bag weighed 8 kgs. and the other bag weighed 6.5 kgs. He repacked the garlic in plastic bags of 0.25 kilogram per pack and sold each pack for P 43.75. How much will he get if all the packs were sold? A. P2 237.50 B. P 2 337.50 C. P 2 437.50 4. Five mangoes and one apple cost P 77.50. One mango and 5 apples cost D. P 2 537.50 P 111.50. How much does each mango cost? A. P 10.50 B. P 11.50 C. P 12.50 C. P 13.50 5. Samuel caught 3 big fish weighing 20.5 kgs., 15.25 kgs., and 18.75 kgs. He kept 13.25 kgs. for his family and delivered the rest equally in five markets in Lucena City. How many kgs. was delivered to each market? A. 13.75 kgs. B. 10.50 kgs. C. 8.25 kgs. D. 6.875 kgs.Learning Task 1. Complete the given questions. Write your answer in your notebook. Laurence is a businessman. Every last week of November, he depo sits P 82 920.50 for the Christmas bonus of his employees. Each employ- ee receives P 6 378.50. How many employees are there? 1. What is asked? 4. Write the number sentence 2. What are the given? 5. Solve and nd the correct answer. 3. What operation will be used? Learning Task 2. Divide the following and check. Write your answer in your notebook. i. 0.09I0.81 3. O.i2l0.96 5. 0.2i|0.63 2. 0.03I0.72 4. 0.l6|0.96 6. 0.07|0.49 Learning Task 3. Solve the problem carefully by answering the questions below. Use the 4Step in solving word problems. Write your answer in your notebook. 1. In Science class, Ms. Alkhaldi had 30.6 pounds of igneous rocks. She divided equally by weight into 9 different containers. How many pounds of rocks will be in each container? 2. A sherman caught 15.45 kilograms of sh. I-Ie distributed the sh equally among his 5 family members. How many kilograms did each family member get? 3. Marie would like to pour 3.5 liters of fresh milk equally into 7 bottles. How many liters of fresh milk each bottle contains? A Learning Task 4. Choose the letter of the best answer. Write the chosen letter in your notebook. i. tht is the quotient when 294.45 is divided by one-tenths? A. 2 94.45 B. 2 944.5 C. 29 445 D. 294 450 2. What is 59.39 divided by 0.00] equal to? A. 593 900 B. 59 390 C. 5 939 D. 593.9 3. How many times greater is 6.45 than 0.01? A. 0.645 B. 6.45 C. 64.5 D. 645 4. What will be the answer if we divide 0.819 by one-hundredths? A. 0.819 B. 8.19 C.8].9 D.819 5. What is the quotient if we divide 0.54 by 0.1? A. 5.4 B. 54 C. 540 D. 5400