Juan is determining the volume of a box using the expression 7.2 times 8.4 times 12.8. How many digits will be shown to the right of the decimal in Juan’s final answer?

Question

one
two
three
four

Answer 1

To determine how many digits will be shown to the right of the decimal in Juan’s final answer when calculating the volume of the box using the expression \( 7.2 \times 8.4 \times 12.8 \), we need to count the significant figures after the decimal point for each of the numbers in the expression.

1. The number \( 7.2 \) has one digit after the decimal.
2. The number \( 8.4 \) also has one digit after the decimal.
3. The number \( 12.8 \) has one digit after the decimal.

When multiplying numbers, the result should be reported with the same number of decimal places as the number with the fewest decimal places in the multiplication.

Since all three numbers have the same number of decimal places (one digit), the final result will also have one digit after the decimal point.

Thus, the number of digits shown to the right of the decimal in Juan's final answer will be one.