Question

divide.
-82.5 ÷ 1000
-82.5 ÷ 1000 = \square (type an integer or a decimal.)

Explanation:

Step1: Recall division by powers of 10

When dividing a decimal by \(10^n\), we move the decimal point \(n\) places to the left. Here, \(1000 = 10^3\), so we move the decimal point 3 places to the left in \(-82.5\).

Step2: Perform the decimal shift

Starting with \(-82.5\), moving the decimal point 3 places to the left: first, we can write \(-82.5\) as \(-82.500\) (adding trailing zeros for clarity). Moving the decimal 3 places left gives \(-0.0825\).

Answer:

\(-0.0825\)