Explain how to use compensation to find the difference of 30,000 and 6,985.
Help I do not get it Explain how to use compensation to find the difference of 30,000 and 6,985.
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To use compensation to find the difference between 30,000 and 6,985, follow these steps:
Step 1: Determine a convenient base number to adjust both values. In this case, we can choose 10,000 as the base since it is easy to work with.
Step 2: Determine the difference between the base (10,000) and the smaller value (6,985).
Difference = Base (10,000) - Smaller value (6,985)
= 3,015
Step 3: Add the difference to the larger value.
Larger value (30,000) + Difference (3,015)
= 33,015
Step 4: The result, 33,015, is the actual difference between 30,000 and 6,985.
Therefore, the difference between 30,000 and 6,985 is 33,015.
To use compensation to find the difference between two numbers, we first need to understand what compensation means. Compensation is a mental math strategy that involves adjusting the numbers in a calculation to make it easier to solve.
To find the difference between 30,000 and 6,985 using compensation, we can start by rounding the numbers to more manageable values. For example, we can round 30,000 to 30,000 itself, and round 6,985 to 7,000.
Now, we can see that the difference between 30,000 and 7,000 is easier to calculate than the original numbers. The difference is simply 23,000 (30,000 - 7,000).
However, since we've rounded the numbers, we need to take into account the difference between the original rounded numbers and the original numbers we started with. In this case, we rounded 30,000 up to 30,000 (no difference), and we rounded 6,985 down to 7,000, which means we subtracted 15 from our answer.
Now, we can adjust the difference we found previously (23,000) by adding back the compensation we subtracted. So, the final difference between 30,000 and 6,985 is 23,000 + 15 = 23,015.
In summary, to use compensation to find the difference between 30,000 and 6,985, we rounded the numbers to more convenient values (30,000 and 7,000), calculated the difference between the rounded numbers (23,000), and then adjusted our answer by adding back the compensation we subtracted (15).