Question

How do you round 481, 462 to the nearest hundred thousand and to the nearest thousand?

Answer 1

Hint: In the given question, we were asked to round 481, 462 to the nearest hundred thousand and the nearest thousand. So, we will solve this question in two parts. In the first part, we will round the number to its nearest hundred thousand and in the second part, we will round the number to its nearest thousand. So, let us see how we can solve this problem.

Complete step by step solution:
Part A will be finding the round of 481, 462, at first, we need to identify the position of a hundred thousand.
We know that the hundred thousand positions are six places to the left of the decimal point
To round, we will look to the right of the position. In our problem the 8 is in the right of the 4 at ten thousand places:
481,462
Now, for rounding if the right digit is less than 5 then we keep the digit we are rounding to the same and eliminate all the digits to the right, to make them 0 to the decimal point.
If the right digit is greater than or equal to 5 then we have to add 1 to the digit that we are rounding and eliminate all the digits to the right, to make them 0 to the decimal point.
In the above problem, the right digit is 8 which is greater than 5. Therefore, we add 1 to the 4 and eliminate all the digits to the right to make them 0 to the decimal point.
Therefore, 481,462 rounded to the nearest hundred thousand is 500,000.
Part B will be for rounding the number to the thousand positions we need to identify a thousand positions.
A thousand positions are four places to the left of the decimal point
481,462
Therefore, in this case, it is 1. Applying the same rule as above, 1 is less than 5. So we will keep the digit and round all the digits on their right and make them 0 up to a decimal point.

Therefore, 481,462 rounded to the thousand is 481, 000.

Note:
In the above solution, we divided the question into two-part to make it understandable. Moreover, we used a rule of rounding. The rule is that, if the digit is less than 5 then we will keep that digit and put 0’s in place of all the digits which are on the right side and if the digit is greater than 5 then we will add 1 to that digit and put 0’s in place of all the digits which are in right side.