Explain how to use compensation to find the difference of 30,000 and 6,985.
To use compensation to find the difference between 30,000 and 6,985, we can start by rounding both numbers to the nearest thousands.
30,000 rounded to the nearest thousands is 30,000.
6,985 rounded to the nearest thousands is 7,000.
Then, we subtract the rounded numbers:
30,000 - 7,000 = 23,000.
So, the difference between 30,000 and 6,985 is 23,000.
To find the difference between 30,000 and 6,985 using compensation, you can follow these steps:
Step 1: Start with the larger number, which is 30,000.
Step 2: Identify the amount you need to subtract, which is 6,985.
Step 3: Find a number that is easy to subtract mentally from the larger number and approximate it to a whole or convenient number. In this case, let's approximate 6,985 to 7,000.
Step 4: Subtract the approximate number from the larger number. 30,000 - 7,000 = 23,000.
Step 5: Calculate the difference between the approximate number and the original number that you approximated. 7,000 - 6,985 = 15.
Step 6: Add the difference calculated in step 5 to the result from step 4. 23,000 + 15 = 23,015.
Therefore, the difference between 30,000 and 6,985 is 23,015.