Question

explain how to use compensation to find the difference of 30,000 and 6,985

Answer 1

To use compensation to find the difference between 30,000 and 6,985, you adjust one of the numbers (usually the smaller one) to make the subtraction easier, while simultaneously adjusting the result so that the final answer remains correct.

Here’s how to do it step by step:

1. **Identify the numbers**: You want to find \(30,000 - 6,985\).

2. **Choose how to compensate**: In this case, you can round 6,985 to a more manageable number. A good choice is to round it up to 7,000.

3. **Calculate the difference using the rounded number**:
\[
30,000 - 7,000 = 23,000
\]

4. **Compensate for the rounding**: Since you rounded up 6,985 to 7,000, you have to account for that extra amount. You increased the number by \(7,000 - 6,985 = 15\).

5. **Adjust the result**: Now, subtract the amount you added:
\[
23,000 + 15 = 23,015
\]

So, the difference between 30,000 and 6,985 is \(23,015\).

**In summary**: By compensating, we rounded 6,985 up to 7,000, subtracted, and then adjusted the result to find that \(30,000 - 6,985 = 23,015\).