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.

  TRUE
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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True
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