Estimate the sum of 196 and 482
The Correct Answer and Explanation is:
Correct Answer:
The sum of 196 and 482 is 678.
Explanation
To estimate or calculate the sum of two numbers, we can approach it in two ways: mental estimation and exact calculation. Both are useful in different contexts.
Let’s first explore exact calculation, which gives us the accurate result.
We are adding:
markdownCopyEdit 196
+ 482
-----
678
We add digit by digit from right to left:
- Units place: 6 + 2 = 8
- Tens place: 9 + 8 = 17 → we write 7 and carry over 1
- Hundreds place: 1 (from 196) + 4 (from 482) + 1 (carried over) = 6
Thus, the correct sum is 678.
Now, let’s look at how you might estimate the sum when doing quick mental math:
Estimation involves rounding numbers to make them easier to add:
- 196 is close to 200
- 482 is close to 480 or 500
Let’s try two versions of estimation:
1. Rounding to the nearest hundred:
- 196 ≈ 200
- 482 ≈ 500
Estimated sum = 200 + 500 = 700
(This is a quick, rough estimate.)
2. Rounding to the nearest ten:
- 196 ≈ 200
- 482 ≈ 480
Estimated sum = 200 + 480 = 680
This estimate is very close to the actual sum of 678, making it a good approximation.
In summary, while estimation helps in quick calculations or verifying if an answer is reasonable, the exact sum of 196 + 482 is 678. Estimation is especially useful in real-life scenarios where speed matters more than precision, like budgeting or measuring distances.
