College

Match each expression on the left with its equivalent on the right. Some answer choices on the right will not be used.

[tex]
\[
\begin{array}{ll}
1. & 1,500 \times 100 \quad & \quad A. \, 150,000 \\
2. & 150,000 \div 1000 \quad & \quad B. \, 150 \\
3. & 150 \times 100 \quad & \quad C. \, 15,000 \\
4. & 15,000 \div 10 \quad & \quad D. \, 1,500 \\
& \quad E. \, 15 \\
& \quad F. \, 1,500,000
\end{array}
\]
[/tex]

Answer :

Sure! Let's match each expression on the left with its equivalent expression on the right:

1. 1,500 × 100:

- When you multiply 1,500 by 100, you move the decimal point two places to the right. This gives us:
[tex]\[
1,500 \times 100 = 150,000
\][/tex]
- So, 1,500 × 100 matches with 150,000.

2. 150,000 ÷ 1000:

- When you divide 150,000 by 1,000, you move the decimal point three places to the left. This gives us:
[tex]\[
150,000 \div 1000 = 150
\][/tex]
- So, 150,000 ÷ 1000 matches with 150.

3. 150 × 100:

- When you multiply 150 by 100, you move the decimal point two places to the right. This gives us:
[tex]\[
150 \times 100 = 15,000
\][/tex]
- So, 150 × 100 matches with 15,000.

4. 15,000 ÷ 10:

- When you divide 15,000 by 10, you move the decimal point one place to the left. This gives us:
[tex]\[
15,000 \div 10 = 1,500
\][/tex]
- So, 15,000 ÷ 10 matches with 1,500.

To summarize, here are the matches:

- 1,500 × 100 → 150,000
- 150,000 ÷ 1000 → 150
- 150 × 100 → 15,000
- 15,000 ÷ 10 → 1,500