In mathematics, rounding is an operation that allows you to reduce the number of characters in a number by replacing them, given certain rules. If you are interested in the question of how to round a number to hundredths, then first you need to deal with all existing rounding rules. There are several options for how to round numbers:
- Statistical - used to specify the number of city residents. Speaking about the number of citizens, they call only an approximate value, and not an exact figure.
- Half - half rounding occurs to the nearest even number.
- Rounding to a lower number (rounding to zero) is the easiest rounding, in which all “extra” digits are discarded.
- Rounding to a larger number - if the signs that you want to round are not equal to zero, then the number is rounded up. This method is used by providers or mobile operators.
- Nonzero rounding - numbers are rounded according to all the rules, but when the result should be 0, then rounding is done "from zero".
- Alternating rounding - when N + 1 is 5, the number is alternately rounded down and up.
For example, you need to round the number 21.837 to hundredths. After rounding, your correct answer should be 21.84. Explain why. The number 8 is included in the category of tenths, therefore, 3 in the category of hundredths, and 7 - thousandths. 7 is more than 5, so we increase 3 by 1, that is, up to 4. This is a snap if you know a few rules:
1. The last stored digit is increased by one if the first one discarded in front of it is more than 5. If this figure is 5 and there are any other digits behind it, then the previous one also increases by 1.
For example, we need to round to tenths: 54.69 = 54.7, or 7.357 = 7.4.
If you have been asked how to round a number to hundredths, proceed in the same way as the one above.
2. The last saved digit remains unchanged if the first of the discarded ones that is before it is less than 5.
Example: 96.71 = 96.7.
3. The last of the stored digits remains unchanged provided that it is even, and if the first of the discarded digits is the number 5, and there are no more digits behind it. If the left digit is odd, then it increases by 1.
Examples: 84.45 = 84.4 or 63.75 = 63.8.
Note. Many schools give students a simplified version of rounding rules, so keep that in mind. In them, all the numbers remain unchanged, if they are followed by numbers from 0 to 4 and increased by 1, provided that after that there is a number from 5 to 9. It is wise to solve problems with rounding according to strict rules, but if the school has a simplified version, then in order to avoid misunderstandings, you should stick to it. We hope you understand how to round a number to hundredths.
Rounding in life is necessary for the convenience of working with numbers and indicating the accuracy of measurements. Currently, there is a definition of anti-rounding. For example, when counting the votes of a study, round numbers are considered bad form. Stores also use anti-rounding to create an impression for customers at a better price (for example, they write 199, not 200). We hope that now you can answer the question of how to round the number to hundredths or tenths yourself.