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Place Value and Patterns Worksheet - Students complete sentences by understanding numerical relationships.

Worksheet with place value and patterns exercises for students to complete sentences.

Worksheet with place value and patterns exercises for students to complete sentences.

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Show Answer Key & Explanations Step-by-step solution for: Worksheets: Place Value, Multiplication, and Expressions (Grade 5)
Let's solve each problem step by step. The task is to complete the sentence by understanding place value and patterns, specifically how numbers relate when they are 10 times as much or 1/10 of another number.

We'll go through each one:

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1. 30,000 is 10 times as much as ________



To find what number is 10 times smaller than 30,000, divide by 10:

> 30,000 ÷ 10 = 3,000

Answer: 3,000

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2. 600 is 10 times as much as ________



> 600 ÷ 10 = 60

Answer: 60

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3. 1,000 is 10 times as much as ________



> 1,000 ÷ 10 = 100

Answer: 100

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4. 300 is 10 times as much as ________



> 300 ÷ 10 = 30

Answer: 30

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5. 9,000 is 10 times as much as ________



> 9,000 ÷ 10 = 900

Answer: 900

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6. 70,000 is 10 times as much as ________



> 70,000 ÷ 10 = 7,000

Answer: 7,000

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7. 500,000 is 10 times as much as ________



> 500,000 ÷ 10 = 50,000

Answer: 50,000

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8. 20 is 1/10 of ________



If 20 is 1/10 of a number, then the number is 10 times 20:

> 20 × 10 = 200

Answer: 200

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9. 5,000 is 1/10 of ________



> 5,000 × 10 = 50,000

Answer: 50,000

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10. 300 is 1/10 of ________



> 300 × 10 = 3,000

Answer: 3,000

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11. 2,000 is 1/10 of ________



> 2,000 × 10 = 20,000

Answer: 20,000

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12. 90 is 1/10 of ________



> 90 × 10 = 900

Answer: 900

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13. 4,000 is 1/10 of ________



> 4,000 × 10 = 40,000

Answer: 40,000

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14. 900 is 1/10 of ________



> 900 × 10 = 9,000

Answer: 9,000

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Final Answers:



1. 3,000
2. 60
3. 100
4. 30
5. 900
6. 7,000
7. 50,000
8. 200
9. 50,000
10. 3,000
11. 20,000
12. 900
13. 40,000
14. 9,000

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🔍 Explanation:



- When a number is 10 times as much as another, you divide by 10.
- When a number is 1/10 of another, you multiply by 10.
- This reflects place value: moving one place to the right (÷10) or left (×10).

For example:
- 30,000 → 3,000 (move decimal one place left)
- 20 → 200 (move decimal one place right)

This pattern is essential in understanding our base-10 number system.
Parent Tip: Review the logic above to help your child master the concept of place value patterns worksheet.
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