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Grade 5 math worksheet focusing on dividing decimals by 10, 100, and 1000, designed to help students practice decimal division.

A Grade 5 math worksheet titled "Dividing decimals by 10, 100, & 1000" with 12 problems requiring students to find missing numbers in division equations involving decimals.

A Grade 5 math worksheet titled "Dividing decimals by 10, 100, & 1000" with 12 problems requiring students to find missing numbers in division equations involving decimals.

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Show Answer Key & Explanations Step-by-step solution for: Decimal division worksheets | Worsheets library
Let’s solve each problem step by step. Remember: when you divide a number by 10, 100, or 1000, the decimal point moves to the left — one place for 10, two places for 100, three places for 1000.

But here, we’re given the result and need to find what was divided (or what divisor was used). So we’ll think backwards.

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Problem 1:
___ ÷ 100 = 4.58
→ To get back to the original number, multiply 4.58 × 100 = 458

Problem 2:
422 ÷ ___ = 4.22
→ How many times do we divide 422 to get 4.22?
Move decimal in 422 two places left → 4.22 → so divide by 100

Problem 3:
637 ÷ ___ = 6.37
→ Move decimal two places left → divide by 100

Problem 4:
___ ÷ 100 = 6.26
→ Multiply 6.26 × 100 = 626

Problem 5:
672 ÷ ___ = 67.2
→ Move decimal one place left → divide by 10

Problem 6:
898 ÷ ___ = 89.8
→ Move decimal one place left → divide by 10

Problem 7:
___ ÷ 1000 = 0.372
→ Multiply 0.372 × 1000 = 372

Problem 8:
___ ÷ 10 = 30.3
→ Multiply 30.3 × 10 = 303

Problem 9:
___ ÷ 1000 = 0.431
→ Multiply 0.431 × 1000 = 431

Problem 10:
826 ÷ ___ = 0.826
→ Move decimal three places left → divide by 1000

Problem 11:
62 ÷ ___ = 6.2
→ Move decimal one place left → divide by 10

Problem 12:
___ ÷ 100 = 3.55
→ Multiply 3.55 × 100 = 355

Problem 13:
972 ÷ ___ = 9.72
→ Move decimal two places left → divide by 100

Problem 14:
46 ÷ ___ = 0.046
→ Move decimal three places left → divide by 1000

Problem 15:
84 ÷ ___ = 0.084
→ Move decimal three places left → divide by 1000

Problem 16:
___ ÷ 100 = 1.42
→ Multiply 1.42 × 100 = 142

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Final Answer:
1) 458
2) 100
3) 100
4) 626
5) 10
6) 10
7) 372
8) 303
9) 431
10) 1000
11) 10
12) 355
13) 100
14) 1000
15) 1000
16) 142
Parent Tip: Review the logic above to help your child master the concept of dividing decimals for 5th grade math worksheet.
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