Let's solve the problems step by step and determine whether each word problem can be solved using the given division calculation.
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Part 1: Can the following problems be solved using 10 ÷ 2? True or False?
We need to check if
each problem requires the calculation
10 ÷ 2.
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a. There are 2 bags of potatoes that have 5 potatoes in each bag. How many rolls are there altogether?
- This is asking for the total number of potatoes.
- It’s a multiplication problem:
$ 2 \text{ bags} \times 5 \text{ potatoes per bag} = 10 $ potatoes.
- The operation is
multiplication, not division.
- Also, it asks about "rolls" (likely a typo — probably meant "potatoes").
-
Not solved by $ 10 ÷ 2 $
✔ Answer: False
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b. A car holds 2 people. How many boats are needed for 10 people?
- Wait — it says “car holds 2 people” but asks about “boats”? That seems like a mismatch.
- But assuming it means:
Each boat holds 2 people. How many boats are needed for 10 people?
- Then: $ 10 \div 2 = 5 $ boats.
- Yes, this uses $ 10 ÷ 2 $
✔ Answer: True
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c. I have 10 pens and give 2 pens to each person. How many people receive pen?
- We’re dividing 10 pens into groups of 2.
- $ 10 \div 2 = 5 $ people.
- Yes, this uses $ 10 ÷ 2 $
✔ Answer: True
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d. I have 10 crayon sets and give 2 away. How many do I have left?
- This is subtraction: $ 10 - 2 = 8 $
- Not division.
- So,
not solved by $ 10 ÷ 2 $
✔ Answer: False
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✔ Summary for Part 1:
| Problem | Answer |
|--------|--------|
| a | False |
| b | True |
| c | True |
| d | False |
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Part 2: Can the following problems be solved using 36 ÷ 2? True or False?
Now check which ones use $ 36 ÷ 2 $
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a. There are 2 bags of potatoes that have 36 potatoes in each bag. How many rolls are there altogether?
- Again, likely “rolls” should be “potatoes”.
- Total = $ 2 \times 36 = 72 $
- Multiplication, not division.
- Not solved by $ 36 ÷ 2 $
✔ Answer: False
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b. A car holds 2 people. How many boats are needed for 36 people?
- Assuming it's a typo: “boat” instead of “car” — or just meaning vehicles that hold 2 people.
- If each vehicle holds 2 people, then number of vehicles needed = $ 36 \div 2 = 18 $
- Yes, uses $ 36 ÷ 2 $
✔ Answer: True
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c. I have 36 pens and give 2 pens to each person. How many people receive pen?
- Divide 36 pens into groups of 2 → $ 36 \div 2 = 18 $ people
- Yes, uses $ 36 ÷ 2 $
✔ Answer: True
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d. I have 36 crayon sets and give 2 away. How many do I have left?
- Subtraction: $ 36 - 2 = 34 $
- Not division.
- Not solved by $ 36 ÷ 2 $
✔ Answer: False
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✔ Summary for Part 2:
| Problem | Answer |
|--------|--------|
| a | False |
| b | True |
| c | True |
| d | False |
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✔ Final Answers:
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First Set (10 ÷ 2):
- a. False
- b. True
- c. True
- d. False
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Second Set (36 ÷ 2):
- a. False
- b. True
- c. True
- d. False
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📌 Explanation:
- Division ($ \div $) is used when:
- Splitting a total into equal groups (e.g., giving 2 pens to each person).
- Finding how many groups of a certain size can be made from a total (e.g., how many boats for 10 people if each holds 2).
- Multiplication is used when finding totals from groups.
- Subtraction is used when taking away a quantity.
So only problems involving
equal sharing or
grouping use division.
Let me know if you'd like these explained visually!
Parent Tip: Review the logic above to help your child master the concept of multiplication and division word problems worksheet grade 3.