
Round off the decimal 11.047 to the nearest tenth.
A. 11.0
B. 11.1
C. 11.2
D. 12.04
Answer
570.6k+ views
Hint: Rounding off decimals or numbers is a very important concept and it is quite easy. Rounding off is just like a kind of estimating the numbers. To round off the decimals or numbers, it is done from the right last digit of that number, now have to find whether the last digit is greater than 5 or less than 5, if the last digit is less than the number 5, then accordingly the last second digit is altered.
Complete step-by-step solution:
Here if the last digit is greater than 5, then the last second digit is increased by 1 and the last digit is rounded off.
But if the last digit is less than 5, then the last second digit is decreased by 1 and the last digit is rounded off.
This rounding off process is continued till it is required.
Consider the decimal in the question which is 11.047, start doing the rounding off process:
$\because $The last digit is $7 > 5$, hence increasing the last second digit 4 by 1, which becomes 5.
Now the rounded off number is 11.05.
Consider the number 11.05, here the last digit is 5, and only time 5 is present in the decimal part of the number, hence ignoring it.
Now the rounded off number becomes 11.0.
The rounded off decimal 11.047 to the nearest tenth is 11.0.
Option A is the correct answer.
Note: While rounding off the numbers, which always starts from the right end of the number, if the last digit is greater than 5, it is rounded off by adding 1 to the last second digit number, and similarly if the last digit is less than 5, then it is rounded off by subtracting 1 from the last second digit number. But if the last digit is 5, then it is just rounded off if there are no 5’s repeating in the number. For example if the number is 7.2555, then the rounded off number would be 7.26, as the number 5 is repeating here.
Complete step-by-step solution:
Here if the last digit is greater than 5, then the last second digit is increased by 1 and the last digit is rounded off.
But if the last digit is less than 5, then the last second digit is decreased by 1 and the last digit is rounded off.
This rounding off process is continued till it is required.
Consider the decimal in the question which is 11.047, start doing the rounding off process:
$\because $The last digit is $7 > 5$, hence increasing the last second digit 4 by 1, which becomes 5.
Now the rounded off number is 11.05.
Consider the number 11.05, here the last digit is 5, and only time 5 is present in the decimal part of the number, hence ignoring it.
Now the rounded off number becomes 11.0.
The rounded off decimal 11.047 to the nearest tenth is 11.0.
Option A is the correct answer.
Note: While rounding off the numbers, which always starts from the right end of the number, if the last digit is greater than 5, it is rounded off by adding 1 to the last second digit number, and similarly if the last digit is less than 5, then it is rounded off by subtracting 1 from the last second digit number. But if the last digit is 5, then it is just rounded off if there are no 5’s repeating in the number. For example if the number is 7.2555, then the rounded off number would be 7.26, as the number 5 is repeating here.
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