Question

express 0.082 in scientific notation.
?×10^?
enter the coefficient in the green box and the exponent in the yellow box.

Explanation:

Step1: Identify the coefficient

To express a number in scientific notation \( a \times 10^n \) where \( 1 \leq |a| < 10 \), we move the decimal point in 0.082 to the right until we get a number between 1 and 10. Moving the decimal point 2 places to the right gives us 8.2. So the coefficient \( a \) is 8.2.

Step2: Determine the exponent

Since we moved the decimal point 2 places to the right, the exponent \( n \) is -2 (because we moved the decimal to the right in a number less than 1, the exponent is negative).

Answer:

The coefficient is \( 8.2 \) and the exponent is \( -2 \), so \( 0.082 = 8.2 \times 10^{-2} \).