
Round of 52,398 to nearest 1000
A. 52,390
B. 52,400
C. 52,000
D. 53,000
Answer
485.7k+ views
Hint: Here we use the concept of rounding off and check the hundredth digit of the given number to write the round off accordingly.
* If the digit in the required hundredth place is less than 5(i.e. 0, 1, 2, 3, 4) then we round off to the previous thousand and if the digit in the hundredth place is greater than or equal to 5(i.e. 5, 6, 7, 8, 9) then we round off to the next thousand.
* When rounding off a number to 1000 we always have digits in ones, tens and hundreds place as zero such that when writing the number name we have only thousands as the word along with the numbers before thousands place.
Complete step-by-step solution:
We are given the number 52,398.
We can have the value of round off of the number 52,398 either 52,000 or 53,000 depending on the number present at the required place.
Since we have to round off the given number to the nearest 1000, we check the digit in the hundredth place of the given number.
The digit at hundreds place is 3
Since \[3 < 5\]so we round off the given number to the previous thousand values.
Given number is 52,398 so the previous thousand value will be 52,000 as 52,000 is the thousand value that comes before 52,398.
So we round off the number as 52,000
\[\therefore \]Round of 52,398 to nearest 1000 is 52,000
\[\therefore \]Correct option is C.
Note: Many students make the mistake of choosing the option B i.e. 52,400 as they round off the term in the hundreds place as we decide on the basis of hundreds place. Keep in mind when rounding off to 1000 we will observe value at hundreds place but will make that hundreds place zero in the end.
* If the digit in the required hundredth place is less than 5(i.e. 0, 1, 2, 3, 4) then we round off to the previous thousand and if the digit in the hundredth place is greater than or equal to 5(i.e. 5, 6, 7, 8, 9) then we round off to the next thousand.
* When rounding off a number to 1000 we always have digits in ones, tens and hundreds place as zero such that when writing the number name we have only thousands as the word along with the numbers before thousands place.
Complete step-by-step solution:
We are given the number 52,398.
We can have the value of round off of the number 52,398 either 52,000 or 53,000 depending on the number present at the required place.
Since we have to round off the given number to the nearest 1000, we check the digit in the hundredth place of the given number.
The digit at hundreds place is 3
Since \[3 < 5\]so we round off the given number to the previous thousand values.
Given number is 52,398 so the previous thousand value will be 52,000 as 52,000 is the thousand value that comes before 52,398.
So we round off the number as 52,000
\[\therefore \]Round of 52,398 to nearest 1000 is 52,000
\[\therefore \]Correct option is C.
Note: Many students make the mistake of choosing the option B i.e. 52,400 as they round off the term in the hundreds place as we decide on the basis of hundreds place. Keep in mind when rounding off to 1000 we will observe value at hundreds place but will make that hundreds place zero in the end.
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