1. Decimal Places
Positions of the digits to the right of a decimal point are known as decimal places.
A decimal number is shortened to a specific level of accuracy when it is rounded to decimal places. To achieve this, we locate the decimal place to which we want to round the number, and then we look at the digit immediately to its right. We round up if the number following the selected accuracy is a 5 or above. When it falls below 5, we round down.
It is important to give the number of digits required after the decimal point, even if the last digit would be a zero.
Example: Rounding 57.6274 to 2 decimal places (2.d.p) is 57.63
1.1 How to round to Decimal Places?
We follow the below steps while rounding decimals:
- Observe the next smaller place value i.e. towards the right of the digit that is being rounded off. For example, for rounding to the nearest hundred, observe the digit in the tens place.
- If the digit in the smaller place value is less than 5, then we round down. To round down, replace all the digits after the digit that you are rounding to by 0.
- If the digit in the smaller place value is greater than or equal to 5, then we round up. To round up, add one to the digit that you are rounding to and replace all the digits after it with 0.
Example: Round 96.237 to the nearest tenth.
Solution:
Example: Round 0.041682 to two decimal places.
Solution:
Example: A calculator displayed an answer to a calculation as 163.2085313. What is this given to three decimal places?
Solution:
