Math worksheet for practicing mental multiplication using times tables and place value, with sections on multiplying by 10 and 100, matching equivalent calculations, and solving related problems using a central calculation.
A math worksheet titled "Using Times Tables and Place Value to Multiply Mentally" with sections on multiplying by 10 and 100, equivalent calculations, and using a central calculation to solve related problems, featuring a cartoon character and a cloud diagram.
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Show Answer Key & Explanations
Step-by-step solution for: Using Times Tables and Place Value to Multiply Mentally Worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: Using Times Tables and Place Value to Multiply Mentally Worksheet ...
Let’s work through each section carefully.
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Section A: Multiplying by 10 and 100. Fill the gaps.
We’ll solve each one step by step.
1) 7 × 10 = ?
→ Multiply 7 by 10 → add a zero at the end → 70
2) ? × 9 = 900
→ We need to find what number times 9 gives 900.
→ Divide 900 by 9 → 900 ÷ 9 = 100
3) 10 × ? = 120
→ What do we multiply 10 by to get 120?
→ 120 ÷ 10 = 12
4) 34 × 100 = ?
→ Multiply 34 by 100 → add two zeros → 3400
5) 5 × ? = 50
→ 50 ÷ 5 = 10
6) 13 × 100 = ?
→ Add two zeros to 13 → 1300
7) ? × 100 = 7300
→ 7300 ÷ 100 = 73
8) 4 × 5 × 10 = ?
→ First, 4 × 5 = 20
→ Then 20 × 10 = 200
✔ Section A answers:
1) 70
2) 100
3) 12
4) 3400
5) 10
6) 1300
7) 73
8) 200
---
Section B: Equivalent calculations
We match left column (multiplication), middle column (equivalent breakdown), right column (answer).
Example given:
Left: 3 × 40 → Middle: 3 × 4 × 10 → Right: 120
Because 3×4=12, 12×10=120 ✔️
Now let’s match the rest:
- 70 × 5 → This is same as 7 × 10 × 5 → rearrange: 7 × 5 × 10 → look for that in middle → yes, last row: “7 × 5 × 10” → answer: 7×5=35, 35×10=350
- 2 × 600 → 600 = 6 × 100 → so 2 × 6 × 100 → matches middle first row → 2×6=12, 12×100=1200
- 800 × 3 → 800 = 8 × 100 → so 8 × 3 × 100 → matches middle sixth row → 8×3=24, 24×100=2400
- 3 × 80 → 80 = 8 × 10 → so 3 × 8 × 10 → matches middle second row → 3×8=24, 24×10=240
- 70 × 50 → 70 = 7×10, 50=5×10 → so 7×5×10×10 → matches middle fourth row → 7×5=35, 35×100=3500
- 9 × 90 → 90 = 9×10 → so 9×9×10 → matches middle fifth row → 9×9=81, 81×10=810
So full matching:
| Left | Middle | Right |
|-------------|--------------------|---------|
| 3 × 40 | 3 × 4 × 10 | 120 |
| 70 × 5 | 7 × 5 × 10 | 350 |
| 2 × 600 | 2 × 6 × 100 | 1200 |
| 800 × 3 | 8 × 3 × 100 | 2400 |
| 3 × 80 | 3 × 8 × 10 | 240 |
| 70 × 50 | 7 × 5 × 10 × 10 | 3500 |
| 9 × 90 | 9 × 9 × 10 | 810 |
✔ All matched correctly.
---
Section C: Use the calculation in the bubble to help you work out the other questions.
Central bubble: 5 × 6 = 30
Use this to solve others by adjusting for place value (adding zeros).
- 5 × 600 = ?
→ 600 is 6 × 100 → so 5 × 6 × 100 = 30 × 100 = 3000
- 50 × 6 = ?
→ 50 is 5 × 10 → so 5 × 10 × 6 = 30 × 10 = 300
- 50 × 60 = ?
→ 50 = 5×10, 60=6×10 → so 5×6×10×10 = 30×100 = 3000
Wait — hold on! That can’t be right — both 5×600 and 50×60 give 3000? Let’s double-check:
Actually:
- 5 × 600 = 5 × (6 × 100) = (5×6) × 100 = 30 × 100 = 3000 ✔
- 50 × 60 = (5×10) × (6×10) = 5×6 × 10×10 = 30 × 100 = 3000 ✔
Yes, they are equal — because 5×600 and 50×60 both involve multiplying 5 and 6 and then adding three zeros total (two from 600 or one from each 50 and 60). So it's correct.
But wait — let’s check the others too:
- 5 × 60 = ?
→ 60 = 6 × 10 → 5 × 6 × 10 = 30 × 10 = 300
- 500 × 6 = ?
→ 500 = 5 × 100 → 5 × 100 × 6 = 30 × 100 = 3000
Wait — now we have four answers of 3000? That seems odd but mathematically correct?
Let’s list them again with reasoning:
Given: 5 × 6 = 30
→ 5 × 60 = 5 × (6 × 10) = 30 × 10 = 300
→ 5 × 600 = 5 × (6 × 100) = 30 × 100 = 3000
→ 50 × 6 = (5 × 10) × 6 = 30 × 10 = 300
→ 50 × 60 = (5 × 10) × (6 × 10) = 30 × 100 = 3000
→ 500 × 6 = (5 × 100) × 6 = 30 × 100 = 3000
Hmm — actually, looking back at the diagram, there are only five bubbles around the cloud:
The image shows:
- Top left: 5 × 600 =
- Bottom left: 5 × 60 =
- Top right: 50 × 6 =
- Bottom right: 500 × 6 =
- Far right: 50 × 60 =
That’s five questions.
So:
1. 5 × 600 = 3000
2. 5 × 60 = 300
3. 50 × 6 = 300
4. 500 × 6 = 3000
5. 50 × 60 = 3000
Wait — that’s three 3000s and two 300s? But let’s verify numerically:
- 5 × 600 = 3000 ✔️
- 5 × 60 = 300 ✔️
- 50 × 6 = 300 ✔️
- 500 × 6 = 3000 ✔️
- 50 × 60 = 3000 ✔️
Yes, all correct. The pattern is: every time you move a factor up by 10x, the product goes up by 10x. Since 5×6=30, then:
- One factor ×10 → product ×10 → 300
- Both factors ×10 → product ×100 → 3000
- One factor ×100 → product ×100 → 3000
So even though some answers repeat, they’re all correct based on the base fact.
✔ Section C answers:
- 5 × 600 = 3000
- 5 × 60 = 300
- 50 × 6 = 300
- 500 × 6 = 3000
- 50 × 60 = 3000
---
Final Answer:
Section A:
1) 70
2) 100
3) 12
4) 3400
5) 10
6) 1300
7) 73
8) 200
Section B:
Matches:
- 70 × 5 → 7 × 5 × 10 → 350
- 2 × 600 → 2 × 6 × 100 → 1200
- 800 × 3 → 8 × 3 × 100 → 2400
- 3 × 80 → 3 × 8 × 10 → 240
- 70 × 50 → 7 × 5 × 10 × 10 → 3500
- 9 × 90 → 9 × 9 × 10 → 810
Section C:
- 5 × 600 = 3000
- 5 × 60 = 300
- 50 × 6 = 300
- 500 × 6 = 3000
- 50 × 60 = 3000
---
Section A: Multiplying by 10 and 100. Fill the gaps.
We’ll solve each one step by step.
1) 7 × 10 = ?
→ Multiply 7 by 10 → add a zero at the end → 70
2) ? × 9 = 900
→ We need to find what number times 9 gives 900.
→ Divide 900 by 9 → 900 ÷ 9 = 100
3) 10 × ? = 120
→ What do we multiply 10 by to get 120?
→ 120 ÷ 10 = 12
4) 34 × 100 = ?
→ Multiply 34 by 100 → add two zeros → 3400
5) 5 × ? = 50
→ 50 ÷ 5 = 10
6) 13 × 100 = ?
→ Add two zeros to 13 → 1300
7) ? × 100 = 7300
→ 7300 ÷ 100 = 73
8) 4 × 5 × 10 = ?
→ First, 4 × 5 = 20
→ Then 20 × 10 = 200
✔ Section A answers:
1) 70
2) 100
3) 12
4) 3400
5) 10
6) 1300
7) 73
8) 200
---
Section B: Equivalent calculations
We match left column (multiplication), middle column (equivalent breakdown), right column (answer).
Example given:
Left: 3 × 40 → Middle: 3 × 4 × 10 → Right: 120
Because 3×4=12, 12×10=120 ✔️
Now let’s match the rest:
- 70 × 5 → This is same as 7 × 10 × 5 → rearrange: 7 × 5 × 10 → look for that in middle → yes, last row: “7 × 5 × 10” → answer: 7×5=35, 35×10=350
- 2 × 600 → 600 = 6 × 100 → so 2 × 6 × 100 → matches middle first row → 2×6=12, 12×100=1200
- 800 × 3 → 800 = 8 × 100 → so 8 × 3 × 100 → matches middle sixth row → 8×3=24, 24×100=2400
- 3 × 80 → 80 = 8 × 10 → so 3 × 8 × 10 → matches middle second row → 3×8=24, 24×10=240
- 70 × 50 → 70 = 7×10, 50=5×10 → so 7×5×10×10 → matches middle fourth row → 7×5=35, 35×100=3500
- 9 × 90 → 90 = 9×10 → so 9×9×10 → matches middle fifth row → 9×9=81, 81×10=810
So full matching:
| Left | Middle | Right |
|-------------|--------------------|---------|
| 3 × 40 | 3 × 4 × 10 | 120 |
| 70 × 5 | 7 × 5 × 10 | 350 |
| 2 × 600 | 2 × 6 × 100 | 1200 |
| 800 × 3 | 8 × 3 × 100 | 2400 |
| 3 × 80 | 3 × 8 × 10 | 240 |
| 70 × 50 | 7 × 5 × 10 × 10 | 3500 |
| 9 × 90 | 9 × 9 × 10 | 810 |
✔ All matched correctly.
---
Section C: Use the calculation in the bubble to help you work out the other questions.
Central bubble: 5 × 6 = 30
Use this to solve others by adjusting for place value (adding zeros).
- 5 × 600 = ?
→ 600 is 6 × 100 → so 5 × 6 × 100 = 30 × 100 = 3000
- 50 × 6 = ?
→ 50 is 5 × 10 → so 5 × 10 × 6 = 30 × 10 = 300
- 50 × 60 = ?
→ 50 = 5×10, 60=6×10 → so 5×6×10×10 = 30×100 = 3000
Wait — hold on! That can’t be right — both 5×600 and 50×60 give 3000? Let’s double-check:
Actually:
- 5 × 600 = 5 × (6 × 100) = (5×6) × 100 = 30 × 100 = 3000 ✔
- 50 × 60 = (5×10) × (6×10) = 5×6 × 10×10 = 30 × 100 = 3000 ✔
Yes, they are equal — because 5×600 and 50×60 both involve multiplying 5 and 6 and then adding three zeros total (two from 600 or one from each 50 and 60). So it's correct.
But wait — let’s check the others too:
- 5 × 60 = ?
→ 60 = 6 × 10 → 5 × 6 × 10 = 30 × 10 = 300
- 500 × 6 = ?
→ 500 = 5 × 100 → 5 × 100 × 6 = 30 × 100 = 3000
Wait — now we have four answers of 3000? That seems odd but mathematically correct?
Let’s list them again with reasoning:
Given: 5 × 6 = 30
→ 5 × 60 = 5 × (6 × 10) = 30 × 10 = 300
→ 5 × 600 = 5 × (6 × 100) = 30 × 100 = 3000
→ 50 × 6 = (5 × 10) × 6 = 30 × 10 = 300
→ 50 × 60 = (5 × 10) × (6 × 10) = 30 × 100 = 3000
→ 500 × 6 = (5 × 100) × 6 = 30 × 100 = 3000
Hmm — actually, looking back at the diagram, there are only five bubbles around the cloud:
The image shows:
- Top left: 5 × 600 =
- Bottom left: 5 × 60 =
- Top right: 50 × 6 =
- Bottom right: 500 × 6 =
- Far right: 50 × 60 =
That’s five questions.
So:
1. 5 × 600 = 3000
2. 5 × 60 = 300
3. 50 × 6 = 300
4. 500 × 6 = 3000
5. 50 × 60 = 3000
Wait — that’s three 3000s and two 300s? But let’s verify numerically:
- 5 × 600 = 3000 ✔️
- 5 × 60 = 300 ✔️
- 50 × 6 = 300 ✔️
- 500 × 6 = 3000 ✔️
- 50 × 60 = 3000 ✔️
Yes, all correct. The pattern is: every time you move a factor up by 10x, the product goes up by 10x. Since 5×6=30, then:
- One factor ×10 → product ×10 → 300
- Both factors ×10 → product ×100 → 3000
- One factor ×100 → product ×100 → 3000
So even though some answers repeat, they’re all correct based on the base fact.
✔ Section C answers:
- 5 × 600 = 3000
- 5 × 60 = 300
- 50 × 6 = 300
- 500 × 6 = 3000
- 50 × 60 = 3000
---
Final Answer:
Section A:
1) 70
2) 100
3) 12
4) 3400
5) 10
6) 1300
7) 73
8) 200
Section B:
Matches:
- 70 × 5 → 7 × 5 × 10 → 350
- 2 × 600 → 2 × 6 × 100 → 1200
- 800 × 3 → 8 × 3 × 100 → 2400
- 3 × 80 → 3 × 8 × 10 → 240
- 70 × 50 → 7 × 5 × 10 × 10 → 3500
- 9 × 90 → 9 × 9 × 10 → 810
Section C:
- 5 × 600 = 3000
- 5 × 60 = 300
- 50 × 6 = 300
- 500 × 6 = 3000
- 50 × 60 = 3000
Parent Tip: Review the logic above to help your child master the concept of place value worksheet y4.