Question

Round to the nearest.\[4,278,003\;\]

Answer 1

Hint: While rounding a number to nearest ten-thousand we should consider the number in the thousands place and analyze it. There are different processes performed depending on the nature of the number present in the thousands place i.e. considering if it greater than or lesser than the number 5. So based on the above statement we can perform the same steps for the number given and then round it to the nearest ten-thousand.

Complete step-by-step solution:
Given
\[4,278,003\;............................\left( i \right)\]
Now from (i) we can see that in the given number we have 7 in ten-thousands and 8 in the thousands place.
Now while rounding a number to the nearest ten-thousand we have to consider the number present in the thousands place such that:
a) If the number in the thousands place is greater than 5 then it’s rounded up such that to the next nearest ten-thousand considering the number in the ten-thousand place.
b) If the number in the thousands place is lesser than 5 then it’s rounded down such that to the same value of ten-thousand considering the number in the ten-thousand place.
So here in the ten-thousand place we have 7 which can be rounded to either 8 or 7 depending on the number present in the thousands place.
Here at thousands of places we have 8 which is greater than 5 so the number\[4,278,003\;\]is rounded up such that it’s rounded to the nearest highest thousand which would be 80,000.
Therefore on rounding \[4,278,003\;\]we can write:
$4,278,003\; = 4,280,000$.

Note: On solving questions similar to the above one we should always take care about the two rules mentioned above such that it would be easier to execute the simplification process. Rounding of a number simply means the process of replacing it with another number such that it’s nearly equal and can be represented in a much easier way.