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Math

Math Snap

PROBLEM

Estimate the sum of 6.86+2.11+19.336.86 + 2.11 + 19.33 by rounding to the nearest integer. Compare the estimate with the actual sum.

STEP 1

Assumptions1. We are asked to estimate the sum of the numbers6.86,.11, and19.33.
. We are to round each number to the nearest integer for easy computation.
3. We will then compare the estimate to the actual sum of the numbers.

STEP 2

First, let's round each number to the nearest integer.$$6.86 \approx7, \\
2.11 \approx2, \\
19.33 \approx19.
$$

STEP 3

Next, we add the rounded numbers together to get an estimate of the sum.
$$Estimated\, sum =7 +2 +19.
$$

STEP 4

Calculate the estimated sum.
$$Estimated\, sum =7 +2 +19 =28.
$$

STEP 5

Now, let's calculate the actual sum of the numbers.
$$Actual\, sum =.86 +2.11 +19.33.
$$

STEP 6

Calculate the actual sum.
$$Actual\, sum =6.86 +2.11 +19.33 =28.3.
$$

SOLUTION

Finally, let's compare the estimated sum to the actual sum.The estimated sum is28, and the actual sum is28.3. The estimate is very close to the actual sum, so it can be considered reasonable.

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