Let's solve each problem step by step, using
multiplication and division to complete the equations and bar diagrams. The theme is
"Multiplication as Comparison", which means we're comparing quantities using multiplication (e.g., "3 times as many").
---
Problem 2: 3 times as many
- There is
1 yellow circle shown.
- We need
3 times as many → So, 3 × 1 = 3
- Equation:
1 × 3 = 3
✔ Answer:
1 × 3 = 3
---
Problem 3: 5 times more
- There are
5 yellow circles shown.
- "5 times more" means we have
5 groups of the same amount.
- But here, the total is
25, so we need to find what number × 5 = 25.
- Solve:
? × 5 = 25 → ? = 25 ÷ 5 =
5
- So:
5 × 5 = 25
✔ Answer:
5 × 5 = 25
---
Problem 4: 4 times as much
- There are
3 yellow circles shown.
- We want
4 times as much as 3 → 4 × 3 = 12
- Equation:
? × 3 = 12 → ? = 12 ÷ 3 =
4
- So:
4 × 3 = 12
✔ Answer:
4 × 3 = 12
---
Problem 5: 10 times as much
- Equation: 10 × ? = 40
- Solve: 40 ÷ 10 =
4
- So:
10 × 4 = 40
✔ Answer:
10 × 4 = 40
---
Problem 6: 2 times more
- Equation: 2 × ? = 6
- Solve: 6 ÷ 2 =
3
- So:
2 × 3 = 6
✔ Answer:
2 × 3 = 6
---
Problem 7: twice as many
- Equation: 2 × ? = 14
- Solve: 14 ÷ 2 =
7
- So:
2 × 7 = 14
✔ Answer:
2 × 7 = 14
---
Problem 8: twice as many as 4 boys
- Bar diagram shows
two equal parts, and one part is labeled “4 boys”.
- Twice as many means
2 × 4 = 8
- The top box should be filled with
4 (since it’s the original group)
- Then: 2 × 4 = 8
✔ Answer:
- Box:
4
- Equation:
2 × 4 = 8
---
Problem 9: 2 times as many as 3 bows
- Original group: 3 bows
- Twice as many → 2 × 3 = 6
- Bar diagram has two parts, so each part represents 3 bows
- Top box:
3
- Equation:
2 × 3 = 6
✔ Answer:
- Box:
3
- Equation:
2 × 3 = 6
---
Problem 10: 4 times as many as 6 fish
- Original group: 6 fish
- 4 times as many → 4 × 6 = 24
- Bar diagram has
4 boxes, so each represents 6 fish
- Top box:
6
- Equation:
4 × 6 = 24
✔ Answer:
- Box:
6
- Equation:
4 × 6 = 24
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 2 | 1 × 3 = 3 |
| 3 | 5 × 5 = 25 |
| 4 | 4 × 3 = 12 |
| 5 | 10 × 4 = 40 |
| 6 | 2 × 3 = 6 |
| 7 | 2 × 7 = 14 |
| 8 | Box: 4, Equation: 2 × 4 = 8 |
| 9 | Box: 3, Equation: 2 × 3 = 6 |
| 10 | Box: 6, Equation: 4 × 6 = 24 |
---
📌 Explanation Summary:
-
"Times as many" or
"times more" means
multiply.
- When given a total and a multiplier, use
division to find the original amount.
-
Bar diagrams help visualize multiplication comparisons: if something is "twice as many", draw two equal bars; the original is one part, the total is two parts.
This reinforces understanding that multiplication is a way to compare quantities in real-world contexts.
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of multiplicative comparison worksheet 4th grade.
