Multiplying by 10, 100 or 1,000 (missing factors) worksheets | Worsheets library... - Free Printable

Problem Overview:

The worksheet involves finding the missing factors in multiplication problems where one of the factors is either 10, 100, or 1000. The goal is to determine the unknown factor that satisfies each equation.

Key Concept:

- Multiplying by 10 shifts the decimal point one place to the right.
- Multiplying by 100 shifts the decimal point two places to the right.
- Multiplying by 1000 shifts the decimal point three places to the right.

This concept can be used to reverse-engineer the missing factor by dividing the product by the known factor.

---

Solution:

#### 1) \( \_\_\_ \times 98 = 98000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{98000}{98} = 1000
\]
- Answer: \( 1000 \)

#### 2) \( 763 \times \_\_\_ = 7630 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{7630}{763} = 10
\]
- Answer: \( 10 \)

#### 3) \( \_\_\_ \times 807 = 8070 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{8070}{807} = 10
\]
- Answer: \( 10 \)

#### 4) \( 1000 \times \_\_\_ = 663000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{663000}{1000} = 663
\]
- Answer: \( 663 \)

#### 5) \( 686 \times \_\_\_ = 686000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{686000}{686} = 1000
\]
- Answer: \( 1000 \)

#### 6) \( 1000 \times \_\_\_ = 715000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{715000}{1000} = 715
\]
- Answer: \( 715 \)

#### 7) \( \_\_\_ \times 10 = 8900 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{8900}{10} = 890
\]
- Answer: \( 890 \)

#### 8) \( \_\_\_ \times 1000 = 483000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{483000}{1000} = 483
\]
- Answer: \( 483 \)

#### 9) \( \_\_\_ \times 1000 = 748000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{748000}{1000} = 748
\]
- Answer: \( 748 \)

#### 10) \( \_\_\_ \times 718 = 718000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{718000}{718} = 1000
\]
- Answer: \( 1000 \)

#### 11) \( 1000 \times \_\_\_ = 682000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{682000}{1000} = 682
\]
- Answer: \( 682 \)

#### 12) \( \_\_\_ \times 115 = 115000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{115000}{115} = 1000
\]
- Answer: \( 1000 \)

#### 13) \( \_\_\_ \times 1000 = 127000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{127000}{1000} = 127
\]
- Answer: \( 127 \)

#### 14) \( \_\_\_ \times 1000 = 509000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{509000}{1000} = 509
\]
- Answer: \( 509 \)

#### 15) \( \_\_\_ \times 689 = 689000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{689000}{689} = 1000
\]
- Answer: \( 1000 \)

#### 16) \( \_\_\_ \times 1000 = 220000 \)
- To find the missing factor, divide the product by the known factor:
\[
\text{Missing factor} = \frac{220000}{1000} = 220
\]
- Answer: \( 220 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 1000 \\
2) & 10 \\
3) & 10 \\
4) & 663 \\
5) & 1000 \\
6) & 715 \\
7) & 890 \\
8) & 483 \\
9) & 748 \\
10) & 1000 \\
11) & 682 \\
12) & 1000 \\
13) & 127 \\
14) & 509 \\
15) & 1000 \\
16) & 220 \\
\end{array}
}
\]