Question

7.82 × 10⁻⁶ is an example of scientific notation. the exponent of -6 tells you your number will be very

Explanation:

Step1: Recall Scientific Notation

Scientific notation is \( a\times10^{n} \), where \( 1\leq|a|\lt10 \) and \( n \) is an integer. When \( n \) is negative, we move the decimal point in \( a \) to the left \( |n| \) times.

Step2: Analyze \( 10^{-6} \) Impact

For \( 7.82\times10^{-6} \), the exponent \(-6\) means we divide \( 7.82 \) by \( 10^6 \) (since \( 10^{-6}=\frac{1}{10^6} \)). Dividing by a large positive power of 10 makes the number very small (e.g., \( 7.82\times10^{-6}=0.00000782 \)).

Answer:

small