1. Rounding Decimals

Rounding is the process of adjusting the digits of a number to make it simpler or to make it easier to work with, while keeping its value close to what it was.

Rounding to the nearest hundredth means adjusting a number so that it has two decimal places, based on the value of the third decimal place.

To round 0.034 to the nearest hundredth, look at the third decimal place (4). Since 4 is less than 5, you round down, resulting in 0.03.

To round 0.111 to the nearest hundredth, look at the third decimal place (1). Since 1 is less than 5, you round down, resulting in 0.11.

If the digit in the place immediately to the right of the place you are rounding to is 5 or greater, you round up.

If the digit in the place immediately to the right of the place you are rounding to is less than 5, you round down.

The digit '5' serves as a threshold; it determines whether you round up or down when rounding to a specific place value.

For example, rounding 0.76 to the nearest tenth results in 0.8, because the digit in the hundredths place (6) is greater than 5.

Rounding adjusts the number to the nearest specified place value, while truncating simply cuts off digits without adjusting the last retained digit.

To round 2.345 to the nearest hundredth, look at the third decimal place (5). Since it is 5, you round up, resulting in 2.35.