A
Question: A farmer has 56 apples and wants to pack them into boxes with 7 apples each. How many boxes will he need?
Answer: (Calculation showing 56÷7=8)
The farmer will need 8 boxes for his apples.
You have 36 cookies that you want to share equally between you and your 6 friends. How many whole cookies will everyone receive.
36 divided by 7 = 5 remainder 1. Each person will have 5 whole cookies.
Solve 174 divided by 5
34 R4
Question: If you divide 72 by 8 and then multiply the result by 3, what is the final answer?
Answer: (Calculation showing 72÷8=9 and then 9×3=27]
Question: If you divide a number by 5 and the result is 11, what could the original number be? Explain how you arrived at your answer.
Answer: (Calculation showing 11×5=55
Question: A farmer has 62 apples and wants to pack them into boxes with 7 apples each. How many boxes will he need?
Answer: (Calculation showing 62÷7=8 remainder 6).The farmer will be able to fill 7 boxes full, and 1 box partially full with 6 apples.
Question: A baker makes 168 cupcakes and wants to package them in boxes of 12. If he gives away 3 boxes, how many cupcakes does he have left?
Answer: (Calculation of 168÷12=14 boxes, then 14−3=11 boxes left, leading to 11×12=
132 cupcakes remaining.)
Question: How does understanding the concept of multiplication help you solve division problems? Provide an example to illustrate your point.
Answer: (Discussion of how multiplication and division are inverse operations with examples.)
Question: When dividing the numbers 150, 180, and 210 by 30, what patterns emerge in the quotients? Describe any relationships you observe.
Answer: (Calculations showing 150÷30=5150÷30=5, 180÷30=6180÷30=6, 210÷30=7210÷30=7; observation of an increasing sequence.)
Question: If you have 225 pieces of candy to share among 15 friends, how many pieces will each friend receive? Additionally, if each friend wants to give away 3 pieces, how many pieces will they all have left?
Answer: (Calculation showing 225÷15=15 and then 15−3=12- leading to 15×12=180 remaining pieces.)
Question: Generate a division problem where the dividend is a multiple of both 6 and 8. What is the quotient when you divide this number by 4?
Answer: (Example: Let’s choose 4848 (or any multiple of both). Then calculate 48÷4=1248÷4=12.)
Question: Create a division problem using a 2-digit number and a 1-digit number where the quotient is a prime number. What is your problem and the solution?
Answer: (Student creates a valid division problem, e.g., 39÷3=1339÷3=13.)
A farmer has 1,560 apples that he wants to pack into crates. Each crate can hold 48 apples. After packing, he decides to give away 10 crates to a local charity. How many apples does he have left after the donation? Describe the steps you took to solve this problem.
After the donation, the farmer has 1,104 apples left.
In a city, there are 5,400 trees that need to be planted in several parks. If each park can accommodate 180 trees, how many parks will be needed? After planting, if 3 parks receive an additional 45 trees each for a special event, how many trees does that add to the total number of trees planted? Analyze your findings.
Answer:
Question: A number is divided by 3 to give a quotient of 18. If that number is then increased by 12 and divided by 3 again, what is the new quotient?
Answer: (Calculation showing the original number as 18×3=5418×3=54; new number is 54+12=6654+12=66; thus, 66÷3=2266÷3=22.)