Question

Round off \[47,897\] to the nearest \[1000\].
A) \[47,897\]
B) \[48,000\]
C) \[47,900\]
D) \[47,890\]

Answer 1

Hint:
Since here the place value is to be rounded off to the nearest thousands (\[1000{\rm{s}}\]), we will have to do the comparison of the face value of the numbers given at the hundreds (\[100{\rm{s}}\]) place. So, the calculation will be done seeing the ‘\[8\]’ in the hundreds (\[100{\rm{s}}\]) place.

Complete step by step solution:
When a number is given to be rounded off to a place value, the rounded off number is determined by comparing the place value one lower to the place value given in the question. If the value at the lower place value is \[5\] or bigger than that, then the number gets rounded off to the bigger number of the required place value, else it gets rounded off to the smaller number.
Let us take an example of \[36,939\]to be rounded off to the nearest \[100{\rm{s}}\]:
For this, we are going to look at the value at the \[10{\rm{s}}\] place, which is \[3\].
Now, according to the above-mentioned rule, the number is going to be rounded off to the lower limit of the number, because \[3\] is less than \[5\].
So, rounding off \[36,939\] to the nearest \[100{\rm{s}}\], we get \[36,900\]
Now, if the number had been\[36,989\], we would have got\[37,000\]as the answer as the number at the \[10{\rm{s}}\] place is \[8\] and \[8\]is greater than \[5\].

So, now coming to our original question, rounding off \[47,897\]to the nearest \[1000{\rm{s}}\]:
For the \[1000{\rm{s}}\], we are going to consider the number at the \[100{\rm{s}}\] place which is \[8\], and since \[8\] is greater than \[5\], the number will be rounded off the upper limit, hence the answer is going to be \[48,000\].

Thus, the answer to the given question is \[{\rm{B}}\]\[48,000\].

Note:
The rounding off is based on just one principle – take the number at the place value one lower than the one mentioned in the question and check for its face value, if its smaller than \[5\], then the number gets reduced to the lower one, and if it’s greater than or equal to \[5\], it gets increased to the greater one.