Question

Perform any indicated operation. Round the result to the nearest tenth and then to the nearest hundredth. $$ 5.34(6.79) $$

Short answer

The result of 5.34 multiplied by 6.79, rounded to the nearest tenth is 36.3 and to the nearest hundredth is 36.25

Step-by-step solution

Perform the Multiplication

Multiply 5.34 by 6.79. Using a calculator, the product will be 36.2506. It's important to carry out the operation to a few more decimal places than needed, so the rounding will be accurate.

Round to the Nearest Tenth

Round 36.2506 to the nearest tenth. Look at the digits in the hundredths place. If that number is 5 or above, round up. If it's 4 or lower, round down. In this case, it's 5, so we round up. The result is 36.3.

Round to the Nearest Hundredth

Rounding the original product (36.2506) to the nearest hundredth, we again examine the digit in the next place (the thousandths place). Since it's 0, we round down. The resulting number is 36.25