Question

Estimate the sum to the nearest ten \[\left( {57 + 34} \right)\]

Answer 1

Hint: Here we have to do the estimation of the sum of \[\left( {57 + 34} \right)\] to the nearest ten. To estimate this, first of all we look at the one’s place of both the terms under addition. If the number is greater than or equal to \[5\] replace it with \[10\] and if the number is less than \[5\] replace it with \[0\]. Then just add those new numbers, you will get the required estimate at the nearest ten.

Complete step-by-step answer:
To estimate \[\left( {57 + 34} \right)\] to the nearest ten, we see the individual digits or numbers at one’s place. If the digit/number is \[ < 5\], it is converted to zero and if it is \[ \geqslant 5\] , then it is converted to \[10\].
Here, we have numbers \[57\] and \[34\]. When we look at \[34\] we see that the number in one's place is \[4\]. Now, since \[4 < 5\] so we replace \[4\] with \[0\] and hence \[34\] with \[30\].
When we look at \[57\] see that number in one's place is \[7\]. Now, since \[7 > 5\]so we replace \[7\] with \[10\] and hence \[57\] with \[60\].
Hence we do the sum as \[(60 + 30) = 90\].
So, the estimated value of the sum of \[\left( {57 + 34} \right)\] to the nearest ten is \[90\].

Note: This is to keep in mind here is that we should not make the mistake of first adding the given term and then converting the sum according to the one’s place value. In the same way we can also find the estimation to nearest \[100\] or \[1000\], by looking at ten’s place and hundred’s place respectively.