Rules: how to round the number to hundredths

In mathematics, rounding refers to an operation that allows you to reduce the number of characters in the number by replacing them, given certain rules. If you are interested in the question of how to round the number to hundredth, then first you need to understand all the existing rounding rules. There are several options for how you can round numbers:

1. Statistical - used when determining the number of residents of the city. Speaking about the number of citizens, they call only an approximate value, and not an exact figure.
2. Half-rounding of the half occurs to the nearest even number.
3. Rounding up to a smaller number (rounding to zero) is the easiest rounding, at which all the "extra" digits are discarded.
4. Rounding up to a larger number - if the signs that want to round off are not equal to zero, then the number is rounded up. This method is used by providers or cellular operators.
5. Non-zero rounding - numbers are rounded according to all rules, but when the result should be 0, rounding is done "from zero".
6. Alternating rounding - when N + 1 is equal to 5, the number is alternately rounded, then to the smaller, then to the larger side.

For example, you need to round the number 21,837 to the nearest hundredth. After rounding, your correct answer should be 21.84. Let us explain why. The digit 8 is included in the tenth digit, hence, 3 in the category of hundredths, and 7 - thousandth. 7 is more than 5, so we increase 3 by 1, that is, up to 4. This is quite easy if you know a few rules:

1. The last saved digit is incremented by one if the first discarded one is greater than 5. If this number is equal to 5 and there are still any other digits for it, then the previous digit is also increased by 1.

For example, we need to round up to the tenth: 54,69 = 54,7, or 7,357 = 7,4.

If you were asked how to round down to a few hundredths, act like the one shown above.

2. The last stored digit remains unchanged if the first one to be discarded, which 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 is the number 5, and there are no more digits behind it. If the number is odd, it is increased by 1.

Examples: 84.45 = 84.4 or 63.75 = 63.8.

Note. In many schools, students are given a simplified version of the rounding rules, so it is worthwhile to bear this in mind. In them, all the numbers remain unchanged, if after them go the numbers from 0 to 4 and increase by 1, provided that after the number is from 5 to 9. Competently solve problems with rounding by strict rules, but if the school is a simplified version, then In order to avoid misunderstanding it is worth sticking to it. We hope you understand how to round off the number to hundredths.

Rounding in life is necessary for the convenience of working with numbers and indicating the accuracy of measurements. At present, such a definition as anti-rounding has appeared. For example, when counting the votes of a study, round numbers are considered a bad form. Stores also use anti-rounding to create a better price for consumers (for example, they write 199, not 200). We hope that the question of how to round off the number to hundredth or tenths, now you can answer yourself.