# Rounding Decimals to the Nearest Hundredths

Rules for rounding decimals to the nearest hundredths:

To round a decimal analyse the digit in the thousandths place value.

If the thousandths place value is 5 or more then 5, then the digit at the hundredths place increases by 1 and the digits in the thousandths place and thereafter becomes zero (round up).

For example;

(i) 31.005 →

In 31.005 analyse the digit at the thousandths place value. Here 5 is equal to 5. Therefore we have to round the decimal number up to the nearest hundredths 31.01

(ii) 101.277 →

In 101.277 analyse the digit at the thousandths place value. Here 7 is more than 5. Therefore we have to round the decimal number up to the nearest hundredths 101.28

If the thousandths place value is less than 5, then the digit at the hundredths place remains unchanged and the digits at the thousandths place and there after becomes zero (round down).

For example;

(i) 57.011

In 57.011 analyse the digit at the thousandths place. Here 1 is less than 5.

Therefore we have to round the decimal number down to the nearest hundredths 57.01

(ii) 91.383

In 91.383 analyse the digit at the thousandths place. Here 3 is less than 5.

Therefore we have to round the decimal number down to the nearest hundredths 91.38

Worked-out examples on rounding decimals to the nearest hundredths:

To round a decimal number to the nearest hundredths follow the explanation step-by-step how to round up or round down the decimal to the nearest hundredths.

Round off the following to the nearest hundredths:

(a) 0.945

Solution:

Rounding off 0.945 to the nearest hundredths, we observe the digit at the thousandths place value.

The digit at the thousandths place is 5 and 5 = 5.

The digit at the hundredths place increases by 1 and the digit at the thousandths place becomes 0.

Therefore, 0.945 rounded off to the nearest hundredths as 0.95

(b) 29.581

Solution:

Rounding off 29.581 to the nearest hundredths, we observe the digit at the thousandths place value.

The digit at the thousandths place is 1 and 1 < 5.

The digit at the hundredths place remains unchanged and the digit at the thousandths place becomes zero (rounded down).

Therefore, 29.581 is rounded off to the nearest hundredths as 29.58

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