Question

Perform any indicated operation. Round the result to the nearest tenth and then to the nearest hundredth. $$ -25.349(-1.369) $$

Short answer

The product of -25.349 and -1.369 rounded to the nearest tenth is 34.7 and rounded to the nearest hundredth is 34.72.

Step-by-step solution

Muliplication

Multiply the absolute values of the two numbers: \( |25.349|\times |1.369| \). It gives you a product of 34.727281

Check the signs

Since both numbers are negative, the product of two negative numbers is a positive number. So the product is \( +34.727281 \).

Round to the nearest tenth

To round decimal number to the nearest tenth, look at the number in hundredths place. It is less than 5, so round down to 34.7.

Round to the nearest hundredth

To round to the nearest hundredth, look at the number in the thousandths place. The number in the thousandths place is 2 which is less than 5, so keep the number in hundredths place as it is. So the rounded number is 34.72