Rounding Decimals Using Place Value

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 tenth?

Back

Rounding to the nearest tenth means looking at the digit in the hundredths place (the second digit to the right of the decimal point) to determine whether to round the tenths place (the first digit to the right of the decimal point) up or down.

Front

How do you round the number 8.307 to the nearest tenth?

Back

To round 8.307 to the nearest tenth, look at the hundredths place (0). Since it is less than 5, you keep the tenths place (3) the same, resulting in 8.3.

Front

What is the rule for rounding to the nearest hundredth?

Back

When rounding to the nearest hundredth, you look at the digit in the thousandths place (the third digit to the right of the decimal point). If it is 5 or greater, you round up the hundredths place; if it is less than 5, you keep the hundredths place the same.

Front

How do you round 0.146 to the nearest hundredth?

Back

To round 0.146 to the nearest hundredth, look at the thousandths place (6). Since it is 5 or greater, you round up the hundredths place (4) to 5, resulting in 0.15.

Front

What does it mean to round to the nearest whole number?

Back

Rounding to the nearest whole number means looking at the digit in the tenths place (the first digit to the right of the decimal point) to determine whether to round the whole number up or down.

Front

How do you round 6.37 to the nearest whole number?

Back

To round 6.37 to the nearest whole number, look at the tenths place (3). Since it is less than 5, you round down, resulting in 6.

Front

Which decimal rounds to 4?

Back

The decimal 3.862 rounds to 4 because the tenths place (8) is 5 or greater, prompting an increase to the next whole number.

Front

How do you round 2.386 to the nearest hundredth?

Back

To round 2.386 to the nearest hundredth, look at the thousandths place (6). Since it is 5 or greater, you round up the hundredths place (8) to 9, resulting in 2.39.

Front

What is the significance of place value in rounding?

Back

Place value is crucial in rounding because it determines which digit to look at when deciding whether to round up or down. Each digit's position affects the overall value of the number.