Place Value Relationship worksheet - Free Printable

Let's solve the worksheet step by step.

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Part 1: Place Value Table

We are given a table with three columns:
- 10 times as much
- Number
- 1/10 of

We need to fill in the missing values based on the relationship between digits in multi-digit numbers.

#### Rule:
- To get 10 times as much, multiply the number by 10 (move the decimal point one place to the right).
- To get 1/10 of, divide the number by 10 (move the decimal point one place to the left).

Let’s complete each row:

| 10 times as much | Number | 1/10 of |
|------------------|----------|---------|
| | 10 | |
| | 200 | |
| | 3,000| |
| | 40,000| |
| | 500,000| |

Now let’s compute each:

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Row 1: Number = 10
- 10 times as much = 10 × 10 = 100
- 1/10 of = 10 ÷ 10 = 1

Row 2: Number = 200
- 10 times as much = 200 × 10 = 2,000
- 1/10 of = 200 ÷ 10 = 20

Row 3: Number = 3,000
- 10 times as much = 3,000 × 10 = 30,000
- 1/10 of = 3,000 ÷ 10 = 300

Row 4: Number = 40,000
- 10 times as much = 40,000 × 10 = 400,000
- 1/10 of = 40,000 ÷ 10 = 4,000

Row 5: Number = 500,000
- 10 times as much = 500,000 × 10 = 5,000,000
- 1/10 of = 500,000 ÷ 10 = 50,000

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✔ Completed Table:

| 10 times as much | Number | 1/10 of |
|------------------|------------|------------|
| 100 | 10 | 1 |
| 2,000 | 200 | 20 |
| 30,000 | 3,000 | 300 |
| 400,000 | 40,000 | 4,000 |
| 5,000,000 | 500,000 | 50,000 |

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Part 2: Problem Solving

> There are 80 students in grade 4. One-tenth of them are living in Mezyad. How many grade 4 students are living in Mezyad area?

We need to find 1/10 of 80.

$$
\frac{1}{10} \times 80 = 8
$$

So, 8 students live in Mezyad.

Now answer the two questions:

1. 1/10 of students is → 8
2. What is 80 × 10? → $ 80 \times 10 = 800 $

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✔ Final Answers:

#### Table:
| 10 times as much | Number | 1/10 of |
|------------------|------------|------------|
| 100 | 10 | 1 |
| 2,000 | 200 | 20 |
| 30,000 | 3,000 | 300 |
| 400,000 | 40,000 | 4,000 |
| 5,000,000 | 500,000 | 50,000 |

#### Problem Solving:
- 1/10 of students is 8
- What is 80 × 10? 800

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This worksheet helps students understand how multiplying or dividing by 10 affects the place value of digits in numbers — a key concept in base-ten numeration.