To solve the problem [tex]\(-65.53 \div 6.76\)[/tex] and round your answer to the nearest thousandths place, follow these steps:
Step 1: Division
First, we need to divide [tex]\(-65.53\)[/tex] by [tex]\(6.76\)[/tex].
When you carry out this division, you get:
[tex]\[
\frac{-65.53}{6.76} \approx -9.693786982248522
\][/tex]
Step 2: Rounding to the Nearest Thousandths Place
Next, we need to round the result to the nearest thousandths place.
Observe the fourth decimal place of the result:
[tex]\[
-9.693\mathbf{7}86982248522
\][/tex]
The digit in the thousandths place is '3', and the next digit is '7'. Since '7' is greater than or equal to 5, we round up the digit in the thousandths place from '3' to '4'.
Thus, the number [tex]\(-9.693786982248522\)[/tex] rounded to the nearest thousandths place becomes:
[tex]\[
-9.694
\][/tex]
Final Answer:
The result of [tex]\(-65.53 \div 6.76\)[/tex] rounded to the nearest thousandths place is:
[tex]\[
-9.694
\][/tex]
