Question

Estimate the subtraction of 5673 – 436 to the nearest thousand.

Answer 1

Hint: Assume the given difference of the two numbers as E. Now, perform simple subtraction to subtract 436 from 5673 using the carry process if required. If the resultant difference is greater than 5500 then round off the obtained difference to 6000. If the resultant difference is less than 5500 then round off the obtained difference to 5000.

Complete step by step answer:
Here we have been provided with two numbers 5673 and 436 whose difference is being taken. We are asked to round off the resultant difference to the nearest thousand.
Now, here we are subtracting 436 from 5673, let us assume the expression as E. So on performing the simple subtraction by the carry process we will get the resultant difference as:
$\Rightarrow $ E = 5673 – 436
$\Rightarrow $ E = 5237
As we can see that at the hundreds place we have the digit 2 which is less than 5 so the above result is near to the number 5000 and not 6000. Therefore, the estimated value of the given difference is 5000.
Hence, 5000 is our answer.

Note: Note that you must not round off the given numbers before taking the difference because according to the question we have to estimate the resultant to the nearest thousand. There are certain rules and regulations of rounding of the digits of a number that must be remembered as they are very useful in scientific calculations. In case we would have got the difference less than 5000 then we would have rounded off the result amongst 4000 or 5000 instead of 5000 and 6000.