Multiplying Decimals by 10 100 - Free Printable
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Step-by-step solution for: Multiplying Decimals by 10 100
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals by 10 100
You've uploaded a worksheet titled “MULTIPLYING DECIMALS BY 100 SHEET 1A (UP TO 100)”. The goal is to practice multiplying decimals and whole numbers by 100.
Let’s solve each section step-by-step with clear explanations.
---
## 🔢 SECTION A: Work out these multiplications
When you multiply a number by 100, you move the decimal point two places to the right. If there are not enough digits, add zeros.
- 3.7 × 100 = 370 → Move decimal 2 places right: 3.7 → 370.
- 0.08 × 100 = 8 → 0.08 → 008 → 8
- 100 × 14.5 = 1450 → Same as 14.5 × 100
Let’s solve all:
| # | Problem | Solution |
|---|---------------|--------|
| 1) | 3.7 × 100 | 370 |
| 2) | 0.2 × 100 | 20 |
| 3) | 200 × 0.8 | 160 |
| 4) | 2.2 × 100 | 220 |
| 5) | 100 × 1.5 | 150 |
| 6) | 1.8 × 100 | 180 |
| 7) | 100 × 1.6 | 160 |
| 8) | 2.3 × 100 | 230 |
| 9) | 100 × 0.7 | 70 |
| 10)| 4.2 × 100 | 420 |
| 11)| 100 × 1.9 | 190 |
| 12)| 48 × 100 | 4800 |
| 13)| 100 × 7.3 | 730 |
| 14)| 54 × 100 | 5400 |
| 15)| 200 × 3.7 | 740 |
| 16)| 88 × 100 | 8800 |
| 17)| 100 × 6.1 | 610 |
| 18)| 9 × 100 | 900 |
| 19)| 100 × 7.5 | 750 |
| 20)| 100 × 0.05 | 5 |
| 21)| 100 × 0.09 | 9 |
| 22)| 16.6 × 100 | 1660 |
| 23)| 80.2 × 100 | 8020 |
| 24)| 142 × 100 | 14200 |
✔ All done! Remember: multiplying by 100 moves decimal 2 places right.
---
## 🧩 SECTION B: Add each of these numbers 100 times (i.e., multiply by 100)
This is just another way of saying “multiply by 100” — same rule applies.
| # | Problem | Solution |
|---|---------------|--------|
| 1) | 2.5 | 250 |
| 2) | 1.6 | 160 |
| 3) | 0.1 | 10 |
| 4) | 9.9 | 990 |
| 5) | 3.4 | 340 |
| 6) | 7.5 | 750 |
| 7) | 0.8 | 80 |
| 8) | 4.2 | 420 |
| 9) | 0.15 | 15 |
| 10)| 2.1 | 210 |
| 11)| 80.2 | 8020 |
| 12)| 2.99 | 299 |
💡 Note: For 0.15 × 100 → 0.15 → 15 (move decimal 2 places right → becomes 15.0 → 15)
---
## 📝 SECTION C: Fill in the missing numbers
This section asks you to find what number, when multiplied by 100, gives the result shown.
So, you need to divide the result by 100 — which means move the decimal point two places to the left.
- ? × 100 = 130 → ? = 130 ÷ 100 = 1.3
- 100 × ? = 250 → ? = 250 ÷ 100 = 2.5
Let’s solve:
| # | Equation | Missing Number |
|---|------------------------|----------------|
| 1) | 1.3 × 100 = 130 | 1.3 |
| 2) | ? × 100 = 180 | 1.8 |
| 3) | 100 × ? = 250 | 2.5 |
| 4) | 100 × 15 = 1500 | 15 |
| 5) | 7.5 × 100 = 750 | 7.5 |
| 6) | 0.42 × 100 = 42 | 0.42 |
| 7) | 100 × ? = 160 | 1.6 |
| 8) | ? × 100 = 7500 | 75 |
| 9) | 100 × ? = 1420 | 14.2 |
| 10)| ? × 100 = 1280 | 12.8 |
| 11)| 100 × ? = 9420 | 94.2 |
| 12)| ? × 100 = 8950 | 89.5 |
| 13)| 100 × ? = 2700 | 27 |
| 14)| 0.87 × 100 = 870 | 0.87 |
| 15)| 2.3 × 100 = 230 | 2.3 |
✔ All correct!
---
## ✔ FINAL ANSWER SUMMARY
Here’s the complete filled worksheet:
---
1) 370
2) 20
3) 160
4) 220
5) 150
6) 180
7) 160
8) 230
9) 70
10) 420
11) 190
12) 4800
13) 730
14) 5400
15) 740
16) 8800
17) 610
18) 900
19) 750
20) 5
21) 9
22) 1660
23) 8020
24) 14200
---
1) 250
2) 160
3) 10
4) 990
5) 340
6) 750
7) 80
8) 420
9) 15
10) 210
11) 8020
12) 299
---
1) 1.3
2) 1.8
3) 2.5
4) 15
5) 7.5
6) 0.42
7) 1.6
8) 75
9) 14.2
10) 12.8
11) 94.2
12) 89.5
13) 27
14) 0.87
15) 2.3
---
## 🎯 Key Concept Recap:
> Multiplying by 100 = Move decimal point 2 places to the RIGHT
> Dividing by 100 = Move decimal point 2 places to the LEFT
This is because 100 = 10² — so each power of 10 shifts the decimal one place.
Great job practicing this essential math skill! 🌟
Let’s solve each section step-by-step with clear explanations.
---
## 🔢 SECTION A: Work out these multiplications
When you multiply a number by 100, you move the decimal point two places to the right. If there are not enough digits, add zeros.
Example:
- 3.7 × 100 = 370 → Move decimal 2 places right: 3.7 → 370.
- 0.08 × 100 = 8 → 0.08 → 008 → 8
- 100 × 14.5 = 1450 → Same as 14.5 × 100
Let’s solve all:
| # | Problem | Solution |
|---|---------------|--------|
| 1) | 3.7 × 100 | 370 |
| 2) | 0.2 × 100 | 20 |
| 3) | 200 × 0.8 | 160 |
| 4) | 2.2 × 100 | 220 |
| 5) | 100 × 1.5 | 150 |
| 6) | 1.8 × 100 | 180 |
| 7) | 100 × 1.6 | 160 |
| 8) | 2.3 × 100 | 230 |
| 9) | 100 × 0.7 | 70 |
| 10)| 4.2 × 100 | 420 |
| 11)| 100 × 1.9 | 190 |
| 12)| 48 × 100 | 4800 |
| 13)| 100 × 7.3 | 730 |
| 14)| 54 × 100 | 5400 |
| 15)| 200 × 3.7 | 740 |
| 16)| 88 × 100 | 8800 |
| 17)| 100 × 6.1 | 610 |
| 18)| 9 × 100 | 900 |
| 19)| 100 × 7.5 | 750 |
| 20)| 100 × 0.05 | 5 |
| 21)| 100 × 0.09 | 9 |
| 22)| 16.6 × 100 | 1660 |
| 23)| 80.2 × 100 | 8020 |
| 24)| 142 × 100 | 14200 |
✔ All done! Remember: multiplying by 100 moves decimal 2 places right.
---
## 🧩 SECTION B: Add each of these numbers 100 times (i.e., multiply by 100)
This is just another way of saying “multiply by 100” — same rule applies.
| # | Problem | Solution |
|---|---------------|--------|
| 1) | 2.5 | 250 |
| 2) | 1.6 | 160 |
| 3) | 0.1 | 10 |
| 4) | 9.9 | 990 |
| 5) | 3.4 | 340 |
| 6) | 7.5 | 750 |
| 7) | 0.8 | 80 |
| 8) | 4.2 | 420 |
| 9) | 0.15 | 15 |
| 10)| 2.1 | 210 |
| 11)| 80.2 | 8020 |
| 12)| 2.99 | 299 |
💡 Note: For 0.15 × 100 → 0.15 → 15 (move decimal 2 places right → becomes 15.0 → 15)
---
## 📝 SECTION C: Fill in the missing numbers
This section asks you to find what number, when multiplied by 100, gives the result shown.
So, you need to divide the result by 100 — which means move the decimal point two places to the left.
Example:
- ? × 100 = 130 → ? = 130 ÷ 100 = 1.3
- 100 × ? = 250 → ? = 250 ÷ 100 = 2.5
Let’s solve:
| # | Equation | Missing Number |
|---|------------------------|----------------|
| 1) | 1.3 × 100 = 130 | 1.3 |
| 2) | ? × 100 = 180 | 1.8 |
| 3) | 100 × ? = 250 | 2.5 |
| 4) | 100 × 15 = 1500 | 15 |
| 5) | 7.5 × 100 = 750 | 7.5 |
| 6) | 0.42 × 100 = 42 | 0.42 |
| 7) | 100 × ? = 160 | 1.6 |
| 8) | ? × 100 = 7500 | 75 |
| 9) | 100 × ? = 1420 | 14.2 |
| 10)| ? × 100 = 1280 | 12.8 |
| 11)| 100 × ? = 9420 | 94.2 |
| 12)| ? × 100 = 8950 | 89.5 |
| 13)| 100 × ? = 2700 | 27 |
| 14)| 0.87 × 100 = 870 | 0.87 |
| 15)| 2.3 × 100 = 230 | 2.3 |
✔ All correct!
---
## ✔ FINAL ANSWER SUMMARY
Here’s the complete filled worksheet:
---
SECTION A:
1) 370
2) 20
3) 160
4) 220
5) 150
6) 180
7) 160
8) 230
9) 70
10) 420
11) 190
12) 4800
13) 730
14) 5400
15) 740
16) 8800
17) 610
18) 900
19) 750
20) 5
21) 9
22) 1660
23) 8020
24) 14200
---
SECTION B:
1) 250
2) 160
3) 10
4) 990
5) 340
6) 750
7) 80
8) 420
9) 15
10) 210
11) 8020
12) 299
---
SECTION C:
1) 1.3
2) 1.8
3) 2.5
4) 15
5) 7.5
6) 0.42
7) 1.6
8) 75
9) 14.2
10) 12.8
11) 94.2
12) 89.5
13) 27
14) 0.87
15) 2.3
---
## 🎯 Key Concept Recap:
> Multiplying by 100 = Move decimal point 2 places to the RIGHT
> Dividing by 100 = Move decimal point 2 places to the LEFT
This is because 100 = 10² — so each power of 10 shifts the decimal one place.
Great job practicing this essential math skill! 🌟
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals by powers of 10 worksheet.