The concept of rounding numbers is to estimate values that lie at the right side of the decimal point. Instead of writing the countless numbers after the decimal point, the rounding decimal method is used. Each decimal place after the decimal point has a name and before learning how to round to one decimal place, let us know their names.
Each number, value, or digit that lies to the right to the decimal point has a unique name in a decimal value. You must learn each place value name to round off numbers easily.
Following are the names of decimal places:
23.1459
Here,
1 = tenth place
4 = hundredths place
5 = thousandths place
9 = ten-thousandths place
To change the decimal place to its nearest tenth, hundredths, thousandths or ten-thousandths round up or down it to the nearest whole number. If the decimal place value or digit is between 5 and 9, round up to the nearest whole number. If the decimal place value or digit is between 0 and 4, round down by keeping it the same.
Let’s understand the concepts of rounding decimal places with examples:
135.37
It is a hundredth-place decimal number, and to convert it into a tenth-place decimal number. We will first determine its hundredth-place value.
The number at hundredths place is 7, and it lies between 5 and 9 so, we will round up the tenth-place decimal point up to 4. Hence, the result will be:
135.4
65.179
It is the thousandths place decimal number, and to convert it into a hundredths place decimal number, we will determine its thousandths place value first.
The number at thousandths place is 9, and it lies between 5 and 9 so, we will round up the hundredths-place decimal point up to 8. Hence, the result will be:
65.18
Now the number in the hundredth place is also between 5 and 9. We can estimate the decimal points further. The tenth-place decimal point will round up to 2. The resulting value will be:
65.2
It’s essential to understand the difference and importance of rounding numbers to their nearest thousandths, hundredths and tenths places and when to round down or up. Because some decimal values are countless, and to keep the answer estimated and short, you should round to one decimal place.
Here are a few more examples for you to master the art of rounding decimals:
188.28 ͢ 188.3
105.7 ͢ 106
63.636 ͢ 63.64
29.109 ͢ 29.11
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