Question

a. Estimate the sum: \(326+474\) b. Determine the actual sum. c. Was your estimate higher, lower, or the same as the actual sum?

Short answer

Answer: The estimated sum was 800, which was the same as the actual sum.

Step-by-step solution

Round the numbers

First, we need to round both numbers, 326 and 474, to make the estimation easier. Let's round them to the nearest hundred. 326 rounds down to 300 (since it's closer to 300 than 400) 474 rounds up to 500 (since it's closer to 500 than 400)

Estimate the sum

Now that we have rounded the numbers, we can simply add them to get the estimated sum: \(300 + 500 = 800\) So our estimate for the sum is 800.

Calculate the actual sum

Now let's calculate the actual sum of the two numbers: \(326 + 474 = 800\) The actual sum is also 800.

Compare the estimate and the actual sum

Since the estimate and the actual sum are the same (both are 800), our estimate was accurate. Thus, the answer to part c is that the estimate was the same as the actual sum.