Looking for help on Correcting Decimals to 2 Places? If so, you have arrived at the right place and get complete knowledge regarding the Rounding Off Decimals to Hundredths Place. Here you will find how to round off to hundredths place or Correct to Two Decimal Places. Get the definition, rules, detailed step-by-step process of rounding numbers to the nearest hundredths place. Solved Examples on Rounding Decimals to 2 Places help you understand the concept clearly and learn the approach used to solve them.
Correct to Two Decimal Places – Definition
The process of Correct to Two Decimal Places is nothing but rounding the to hundredths. Rounding off to decimal places is a technique used to find the approximate values of the decimal number. Here, the decimal numbers are rounded off to 2 decimal places to make them easy to read, understand, and manageable instead of having lengthy string decimal places. We will keep the original 1st decimal number as it is, may change the second decimal number, and eliminate the remaining decimal numbers.
Rules for Rounding off to Two Decimal Places
For rounding the given numbers to the nearest hundredths, you need to check the below-provided rules.
- Rule 1: If the digit in the thousands place is less than 5, then remove the following digits or place 0 in place of them
- Rule 2: When the digit in the thousands place is equal to or more than 5, then the digit in the hundredths place is increased by 1 and the following digits are replaced by 0.
Also, check:
How to Correct to Two Decimal Places?
Follow the below-listed procedure to learn Rounding Decimals to Two Places. They are along the lines
- Identify the number for which you need to round off to two decimal places.
- See the digit in the thousands place of the given number.
- If the digit is equal to or greater than 5, then add 1 to the digit in the hundredth place of the number and remove the following digits.
- When the digit is smaller than 5, then replace the following digits with 0.
Solved Examples on Correcting Decimals to 2 Places
Example 1:
Round off the following to the two decimal places.
(i) 186. 256
(ii) 25. 532
Solution:
(i) 186. 256
The given number is 186. 256
We can see the digit in the thousandths place is 6 then round it to the nearest hundredths which is greater than the given decimal number. Since 6 > 5 then the decimal number is rounded to 186.260.
Therefore, the solution is 186.260.
(ii) 25. 532
The given number is 25. 53256
We can identify the digit in the thousandths place is 2 then round it to the nearest hundredths which is smaller than the given decimal number. Since 2 < 5 then the decimal number is rounded to 25.5300.
Therefore, the solution is 25.53.
Example 2:
(i) 120.085
(ii) 12,856.558
Solution:
(i) 120.085
The given number is 120.085
The digit in the thousands place is 5 which is equal to 5.
So, increase the hundreds place digit by 1 i.e 8 + 1 = 9, and remove the following digits.
Therefore, the solution is 120.09.
(ii) 12,856.558
The given number is 12,856.558
We can see the digit in the thousandths place is 5 then round it to the nearest hundredths which is greater than the given decimal number. Since 5 = 5 then the decimal number is rounded to 12,856.56.
Therefore, the solution is 12,856.56.
Example 3:
(i) 0.042
(ii) 12.567
Solution:
(i) 0.042
The given number is 0.042
The digit in the thousand’s place of the given number is 2
Since 2 is less than 5, then replace the following digits with 0.
Therefore, the solution is 0.04.
(ii) 12.567
The given number is 12.567
The digit in the thousand’s place of the given number is 7
Since 2 > 5 add 1 to the hundredths place of the number and remove the following digits.
So, the rounds off number is 12.57.