Question

3.2 x 10^4 show your process

Answer 1

To express the number \(3.2 \times 10^4\) in standard decimal form, follow these steps:

1. **Understand what \(10^4\) means**: The term \(10^4\) means \(10\) multiplied by itself \(4\) times, which equals \(10,000\).

2. **Multiply \(3.2\) by \(10,000\)**:
\[
3.2 \times 10,000 = 3.2 \times 10^4
\]

3. **Shift the decimal point**: When multiplying by \(10^4\), you need to move the decimal point in \(3.2\) four places to the right:
- Starting with \(3.2\):
- Move one place: \(32.0\)
- Move two places: \(320.0\)
- Move three places: \(3200.0\)
- Move four places: \(32000.0\)

The result is \(32,000\).

Therefore, \(3.2 \times 10^4\) in standard decimal form is **32,000**.