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Question


Estimate the following by rounding off each number to nearest thousands.​

(i) 1,07,843 – 45,799​

(ii) 26,329 + 12,964


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Solution

To round off the number to its nearest thousands, check the digit at hundreds place.

If it is greater than 5, add 1 to the digit at thousands place.If it is less than 5, then keep the digit the same and add zeros in hundreds, tens and units places.

(i) In 1,07,483 the number at hundred’s place 4 is less than 5. So, when rounded off to its nearest thousand, we get the result as 1,07,000.
1,07,483 ⇒ 1,07,000

In 45,799 the number 7 at hundred’s place is greater than five, So adding one to the digit at thousands place, we get the result as
45,799 ⇒ 46,000

Subtracting the two rounded off numbers we get
1,07,000 - 46,000 = 61,000

(ii) In 26,329 the number 3 at hundred’s place is less than five, So keeping the same digit at thousands place, we get the result as
26,329 ⇒ 26,000

In 12,964 the number 9 at hundred’s place is greater than five, So adding one to the digit at thousands place, we get the result as
12,964 ⇒ 13,000

Adding the two rounded off numbers we get
26,000 + 13,000 = 39,000


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