Using estimation to check answers
In a nutshell
Estimation involves finding an approximate answer for a calculation so you can have an idea that the real answer is correct. The main method of estimation is to round numbers in a calculation to make it faster and easier to perform the calculation.
Estimating
When estimating a calculation, round the numbers so they are easier to handle. Round the numbers to the first digit, then the calculation should be easier to perform. To represent an estimation, use the symbol (≈) which means "approximately equal to".
Example 1
Estimate 612×11.
First, round 612.
612≈600
Then, round 11.
11≈10
Attempt the calculation with the rounded numbers.
600×10=6000
Therefore,
621×11≈6000.
Note: You may not need to round every number in a calculation as long as you are still able to estimate a calculations.
Example 2
Estimate 7141−3987.
Round 7141 and 3987 using the first digit.
7141≈70003987≈4000
Estimate the answer.
7000−4000=3000
Therefore,
7141−3987≈3000.