Rounding Large Numbers
In previous topics we have discussed about rounding to tens hundreds and thousands. This topic will discuss about rounding off large numbers which will include:
1. Rounding off to nearest ten thousands
2. Rounding off to nearest hundred thousands
3. Rounding off to nearest million
4. Rounding off to nearest ten million
1. Rounding off to Nearest Ten Thousands
If the digit in one thousands place is 0, 1, 2, 3, or 4 then the number should be rounded off to the previous nearest 10000.
If the digit in one thousands place is 5, 6, 7, 8, or 9 then it should be rounded off to next nearest 10000
Example:
Round off to nearest ten thousands:
(i) 86279
(ii) 40153
Solution:
(i) 90000
The number in one thousand’s place is 6 hence it should be rounded off to next nearest 10000.
(ii) 40000
In 40153 the number in 1000 place is 0 hence it should be rounded off to previous 10000 and 40153 lie between 40000 and 50000 and the nearest being 40000
2. Rounding off to Nearest Hundred Thousands
Check the number in the ten thousands place if it is 5, 6, 7, 8 or 9 then it should be rounded off to next nearest 100000.
If the number in ten thousand place is 0, 1, 2, 3, 4 then it should be rounded off to previous nearest 100000
Example:
Round off to nearest hundred thousand:
(i) 245102
(ii) 798362
Solution:
(i) 200000
In 245102 the number in ten thousand place is 4 which is less than 5 hence should be rounded off to previous 100000. As 245102 lie between 200000 and 300000 therefore, 245102 should be rounded off to 200000.
(ii) 800000
798362 should be rounded off to 800000 as 9 is in ten thousand place hence it should be rounded to next nearest 100000 that is 800000
3. Rounding off to Nearest Million
If the digit in hundred thousand place is 5, 6, 7, 8, or 9 then it should be rounded to next nearest one million (1,000,000)
If the digit in hundred thousand place is 0, 1, 2, 3, or 4 the round it ti previous nearest one million (1,000,000)
Example:
Round off to nearest million:
(i) 7843322
(ii) 1257936
Solution:
(i) 8,000,000
7843322 should be rounded to 8,000,000 as the digit in hundred thousand place is more than 5 hence rounded to next nearest million i.e. 8,000,000.
(ii) 1,000,000
1257936 should be rounded to 1,000,000 as the digit in hundred thousand place is less than 2 hence should be rounded to previous nearest million 1,000,000.
4. Rounding off to Nearest Ten Million
Check the digit in one million place if it 0, 1, 2, 3, 4 then round to previous nearest ten million
If the digit in one million place is 5, 6, 7, 8 or 9 then round to next nearest ten million
Example:
Round off to nearest ten million:
(i) 45234318
(ii) 63258920
Solution:
(i) 50,000,000
The digit in one million place is 5 hence rounded to next nearest ten million (i. e. 50,000,000)
(ii) 60,000,000
3 is in one million place and less than 5 hence rounded off to previous ten million. 62,258,920 lie between 60, 000,000 and 70,000,000 and the nearest being 60,000,000.
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