Question

a. The Mexican peso was recently worth \(\$ 0.0765\). Round this value to the nearest cent. b. Round the value of the peso to the nearest dime.

Short answer

Answer: The rounded value of the Mexican peso to the nearest cent is $0.077, and to the nearest dime is $0.1.

Step-by-step solution

Locate the rounding place for nearest cent

To round to the nearest cent, we need to look at the hundredth place, which is the second digit after the decimal point. In our case, it is the number 7.

Check if we need to round up or down for nearest cent

Now look at the digit to the right of the hundredth place, which is 6. Since 6 is greater than or equal to 5, we need to round up, increasing the number in the hundredth place by 1.

Round the number for nearest cent

After rounding up, the value of the Mexican peso to the nearest cent will be $0.077.

Locate the rounding place for nearest dime

To round to the nearest dime, we need to look at the tenth place, which is the first digit after the decimal point. In our case, it is the number 0.

Check if we need to round up or down for nearest dime

Now look at the digit to the right of the tenth place, which is 7. Since 7 is greater than or equal to 5, we need to round up, increasing the number in the tenth place by 1.

Round the number for nearest dime

After rounding up, the value of the Mexican peso to the nearest dime will be $0.1. In summary, the rounded value of the Mexican peso to the nearest cent is \(0.077, and to the nearest dime is \)0.1.