Question

Convert 0.0715 to scientific notation

Steps needed

Move the decimal left or right

Number of places to move

Number greater than or equal to 1 and less than 10

Exponent

Scientific notation

Answer 1

To convert 0.0715 to scientific notation, follow these steps:

1. **Move the decimal point**:
We need to move the decimal point to the right to make the number greater than or equal to 1 and less than 10.

2. **Number of places to move**:
Move the decimal 2 places to the right:
- From 0.0715 to 0.715 (1st move)
- From 0.715 to 7.15 (2nd move)

3. **Number greater than or equal to 1 and less than 10**:
After moving the decimal two places, we have 7.15, which is between 1 and 10.

4. **Exponent**:
Since we moved the decimal point 2 places to the right, the exponent will be negative: \(-2\).

5. **Scientific notation**:
Combine the number and the exponent to get the final result:
\[ 7.15 \times 10^{-2} \]

So, the scientific notation for 0.0715 is \( 7.15 \times 10^{-2} \).