Question
2.56 x 10^-2. Show your work
Answers
GPT-4o mini
To express the number \( 2.56 \times 10^{-2} \) in standard decimal notation, you can follow these steps:
1. **Understand the scientific notation**: The expression \( 10^{-2} \) means you need to move the decimal point in the number \( 2.56 \) two places to the left.
2. **Move the decimal point**:
- Start with \( 2.56 \).
- Moving the decimal point one place to the left gives \( 0.256 \).
- Moving it another place to the left gives \( 0.0256 \).
So, the final result of \( 2.56 \times 10^{-2} \) in decimal notation is:
\[
0.0256
\]
1. **Understand the scientific notation**: The expression \( 10^{-2} \) means you need to move the decimal point in the number \( 2.56 \) two places to the left.
2. **Move the decimal point**:
- Start with \( 2.56 \).
- Moving the decimal point one place to the left gives \( 0.256 \).
- Moving it another place to the left gives \( 0.0256 \).
So, the final result of \( 2.56 \times 10^{-2} \) in decimal notation is:
\[
0.0256
\]