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TRUE OR FALSE

Rounding off each number to the nearest tens before performing the required operation gives more accurate estimate than rounding off each number to the nearest hundreds or thousands.

Rounding off each number to the nearest tens before performing the required operation gives more accurate estimate than rounding off each number to the nearest hundreds or thousands, because when rounding off a number to the nearest tens we are more close to the number than rounding off to nearest hundreds or thousands.

For example when rounding off 12584 to nearest tens gives 12580; when rounding off it to nearest hundreds gives 12600 and rounding off 12584 to nearest thousands gives 13000.

Clearly, rounding 12584 to the nearest tens gives a number very close to the actual number, than rounding it off to nearest hundreds or thousands.

Also, consider the sum

13896 + 832 + 22383 = 37111

When rounding off each number to the nearest tens and then performing addition, we get

13900 + 830 + 22380 = 37110

When rounding off each number to the nearest hundreds and then performing addition, we get

13900 + 800 + 22400 = 37100

When rounding off each number to the nearest thousands and then performing addition, we get

14000 + 1000 + 22000 = 37000

Clearly, rounding off the numbers to nearest tens gives the better estimate before performing the operation , than rounding off to nearest hundreds or thousands.

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