Multiplying and dividing decimals by powers of 10 worksheet with a festive candy corn theme.

Let’s solve each problem step by step.

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Part A: Multiplying by powers of 10

When you multiply a decimal by 10, 100, or 1000, you move the decimal point to the right:
- ×10 → move decimal 1 place right
- ×100 → move decimal 2 places right
- ×1000 → move decimal 3 places right

Let’s do each one:

1) 0.432 × 100
Move decimal 2 places right:
0.432 → 4.32 → 43.2

2) 1.92 × 10
Move decimal 1 place right:
1.92 → 19.2

3) 6.3664 × 1000
Move decimal 3 places right:
6.3664 → 63.664 → 636.64 → 6366.4

4) 3.245 × 100
Move decimal 2 places right:
3.245 → 32.45 → 324.5

5) 2.35 × 10
Move decimal 1 place right:
2.35 → 23.5

6) 1.2364 × 1000
Move decimal 3 places right:
1.2364 → 12.364 → 123.64 → 1236.4

Now match these answers with the green boxes:
- 43.2 → matches #1
- 19.2 → matches #2
- 6366.4 → matches #3
- 324.5 → matches #4
- 23.5 → matches #5
- 1236.4 → matches #6

✔ All matched correctly.

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Part B: Dividing by powers of 10

When you divide a number by 10, 100, or 1000, you move the decimal point to the left:
- ÷10 → move decimal 1 place left
- ÷100 → move decimal 2 places left
- ÷1000 → move decimal 3 places left

Let’s do each one:

1) 14.5 ÷ 10
Move decimal 1 place left:
14.5 → 1.45

2) 123.8 ÷ 100
Move decimal 2 places left:
123.8 → 1.238 → 1.238

3) 2366.1 ÷ 1000
Move decimal 3 places left:
2366.1 → 2.3661 → 2.3661

4) 156.2 ÷ 100
Move decimal 2 places left:
156.2 → 1.562 → 1.562

5) 2456.2 ÷ 1000
Move decimal 3 places left:
2456.2 → 2.4562 → 2.4562

6) 26.3 ÷ 10
Move decimal 1 place left:
26.3 → 2.63

Now match these answers with the teal boxes:
- 1.45 → matches #1
- 1.238 → matches #2
- 2.3661 → matches #3
- 1.562 → matches #4
- 2.4562 → matches #5
- 2.63 → matches #6

✔ All matched correctly.

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Final Answer:

Part A Answers:
1) 43.2
2) 19.2
3) 6366.4
4) 324.5
5) 23.5
6) 1236.4

Part B Answers:
1) 1.45
2) 1.238
3) 2.3661
4) 1.562
5) 2.4562
6) 2.63