Rounding Numbers Calculator with Step by Step Solution
Rounding calculator for numbers, rounds up numbers to whole, tenths, hundredths, thousandths, ten-thousandths represented by an ordinary fraction or decimal number and scientific notation and displays a detailed solution. You can select the type of rounding, and also specify the number of numbers after the decimal point. Examples of writing a number that needs to be rounded: 5, -12, 1/3, -3/6, -5 / -7, 34.012, 56.23, 2.3e + 5, 5.8e-123, etc.
Rounding Rules
Rule 1. If to the right of the digit to which you want to round the number, there is a digit:
0 ,
1 ,
2 ,
3 ,
4 ,
then you just need to remove all the digits to the digit to which you need to round the number.
Examples:
Separate the rounded digit with a red line, and highlight the number on the right in green.
Let's round the number 4.23012324 to a whole
4. | 2 3012324 ≈ 4
Let's round the number 4.23012324 to tenths
4.2 | 3 012324 ≈ 4.2
Let's round the number 4.23012324 to hundredths
4.23 | 0 12324 ≈ 4.23
Let's round the number 4.23012324 to thousandths
4.230 | 1 2324 ≈ 4.230
Let's round the number 4.23012324 to ten thousandths
4.2301 | 2 324 ≈ 4.2301
Let's round the number 4.230123243 to seven decimal places
4.2301232|43 ≈ 4.2301232
Rule 2. If to the right of the digit to which you want to round a number, there is a digit:
5 ,
6 ,
7 ,
8 ,
9 ,
then it is necessary to add 1 to the figure to which the number is rounded.
Examples:
Separate the rounded digit with a red line, and highlight the number on the right in green.
Let's round the number 12.56843 to a whole
We round the number to the nearest integer, so after decimal point we write 0 digits.
12.|56843
If to the right of the red line, there is a number: 0, 1, 2, 3, 4, then you just need to remove all the numbers after the red line, and if there is a number: 5, 6, 7, 8, 9, then you also remove everything the numbers after the red line and add the number 1 to the number to the left of the red line.
To the right of the red line, we have the number 5, which means we remove all the numbers to the right of the red line.
12 + 1 = 13
12.56843 ≈ 13
Let's round the number 985.0029 to thousandths
We round the number to the nearest integer, so after decimal point we write 3 digits..
985.002|9
If to the right of the red line, there is a number: 0, 1, 2, 3, 4, then you just need to remove all the numbers after the red line, and if there is a number: 5, 6, 7, 8, 9, then you also remove everything the numbers after the red line and add the number 1 to the number to the left of the red line.
To the right of the red line, we have the number 9, which means we remove all the numbers after the red line and add 1 to the number to the left of the red line.
2 + 1 = 3
985.0029 ≈ 985.003