# How to Round off Whole Numbers and Decimals

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Whole numbers represent a set of digits from 0 up to infinity. The value of each digit depends on how far it is from the decimal point. The digit directly to the left of the decimal is in the ones place. After that is the tens, hundreds, thousands, ten-thousands, up to infinity. Take the number 326: 6 is in the ones place, 2 in the tens place and 3 in the hundreds place. Decimal fractions (or decimals) are notated to the left of the decimal point. The digit directly to the right of the decimal point is in the tenths place. After that is the hundredths, thousandths, ten-thousandths, up to infinity. Occasionally, you may be asked to round off a number to a particular place.

• Take an example problem. Round 4685 to the nearest hundred.

• Take the digit in the place being rounded off and highlight it. Here it is 6, because it is in the hundreds place. 4 '6' 85.

• Look at the digit to the right, 8. If it is less than 5, leave the highlighted digit as is. If it is 5 or greater, increase the highlighted digit by 1. Since 8 is greater than 5, increase 6 to 7. So 4 '7' 85.

• Replace digits to the right of the hundreds place by zeros. 4700. 4685 rounded to the nearest hundred is 4700.

• Take another example. Round 4632 to the nearest ten.

• Take the digit being rounded off and highlight it. Here it is 3 because it is in the tens place. 46 '3' 2.

• Look at the digit to the right, 2. Since 2 is less than 5, the highlighted digit remains the same: 46 '3' 2.

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• Replace digits to the right with zeros: 4630. 4632 rounded to the nearest ten is 4630.

• Follow a similar procedure to round-off decimals. Take an example. Round 7.926 to the nearest hundredth.

• Take the digit in the place being rounded off and highlight it. 7.9 '2' 6 because 2 is in the hundredths place.

• Look at the digit to the right, 6. Since 6 is 5 or greater, increase the highlighted digit by 1. 7.9 '3' 6.

• Drop all digits to the right of the highlighted digit. 7.93. Unlike whole numbers, you do not need to convert to zeros. 7.926 rounded to the nearest hundredth is 7.93.

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