1. Rounding Decimals

Front

What is rounding in mathematics?

Back

Rounding is the process of adjusting the digits of a number to make it simpler while keeping its value close to what it was. It often involves increasing or decreasing the last digit based on the value of the digits that follow it.

Front

What does it mean to round to the nearest hundredth?

Back

Rounding to the nearest hundredth means adjusting a decimal number so that it has two digits after the decimal point. The third digit after the decimal point determines whether the second digit is rounded up or remains the same.

Front

How do you round the number 0.111 to the nearest hundredth?

Back

To round 0.111 to the nearest hundredth, look at the third digit (1). Since it is less than 5, you keep the second digit (1) the same, resulting in 0.11.

Front

How do you round the number 0.034 to the nearest hundredth?

Back

To round 0.034 to the nearest hundredth, look at the third digit (4). Since it is less than 5, you keep the second digit (3) the same, resulting in 0.03.

Front

What is the significance of the digit '5' when rounding?

Back

When rounding, if the digit to the right of the place value you are rounding to is 5 or greater, you round up. If it is less than 5, you round down.

Front

What is the difference between rounding up and rounding down?

Back

Rounding up means increasing the last retained digit by one, while rounding down means keeping the last retained digit the same.

Front

Can you give an example of rounding a number to the nearest whole number?

Back

For example, rounding 3.6 to the nearest whole number results in 4, because the decimal part (0.6) is greater than 0.5.

Front

What is the process of rounding a number called?

Back

The process of rounding a number is often referred to as 'rounding off'.

Front

What is a common mistake when rounding decimals?

Back

A common mistake is forgetting to check the digit immediately to the right of the place value being rounded, which can lead to incorrect rounding.

Front

How would you round the number 2.675 to the nearest hundredth?

Back

To round 2.675 to the nearest hundredth, look at the third digit (5). Since it is 5, you round up the second digit (7) to 8, resulting in 2.68.