To determine the value of the exponent when expressing 9,700 square meters in scientific notation, we first need to understand how scientific notation works. Scientific notation represents a number as a coefficient multiplied by 10 raised to an exponent.
Here's a step-by-step approach to finding the exponent value for 9,700 square meters:
1. Determine the number part:
- The number given is 9,700 square meters.
2. Rewrite the number in scientific notation form:
- To express 9,700 in scientific notation, we need to convert it to a number between 1 and 10. This involves moving the decimal point to the left.
- 9,700 can be written as 9.7 x 10^3 in scientific notation.
3. Identify the exponent value:
- In scientific notation, the exponent represents the number of times we move the decimal point.
- Since we moved the decimal point 3 places to the left to convert 9,700 to 9.7, the exponent is 3.
Therefore, when 9,700 square meters is written in scientific notation, the value of the exponent is 3. This indicates that 9,700 can be expressed as 9.7 x 10^3 in scientific notation.
