What is Rounding to the Nearest Tenth?
Rounding to the nearest tenth simplifies a number to one decimal place. This is one of the most common rounding operations, used in measurements, financial calculations, scientific data reporting, and everyday estimation. The process reduces precision while keeping the number close to its original value.
How to Round to the Nearest Tenth
Follow these steps:
- Identify the digit in the tenths place (first digit after the decimal point).
- Look at the digit in the hundredths place (second digit after the decimal point).
- If the hundredths digit is 5 or greater, increase the tenths digit by 1.
- If the hundredths digit is less than 5, keep the tenths digit unchanged.
- Drop all digits after the tenths place.
The mathematical formula using the floor function:
[\text{Rounded} = \frac{\lfloor \text{Number} \times 10 + 0.5 \rfloor}{10}]
Calculation Example
Round 4.679 to the nearest tenth.
- The tenths digit is 6.
- The hundredths digit is 7.
- Since 7 is greater than or equal to 5, round the tenths digit up from 6 to 7.
The result is 4.7.
Another Example
Round 3.146 to the nearest tenth.
- The tenths digit is 1.
- The hundredths digit is 4.
- Since 4 is less than 5, keep the tenths digit as 1.
The result is 3.1.