Math

QuestionEstimate if 22.8×4.7=107.1622.8 \times 4.7 = 107.16 is reasonable. Respond with yes or no, and give a better estimate if no.

Studdy Solution

STEP 1

Assumptions1. The multiplication operation is correctly performed. . Estimation involves rounding the numbers to the nearest whole number or to a number that is easy to work with for mental calculations.

STEP 2

First, we need to estimate the numbers given in the problem. We can round 22.822.8 to 2020 and 4.74.7 to 55 for easier calculations.
Estimatedproduct=20times5Estimated\, product =20 \\times5

STEP 3

Calculate the estimated product.
Estimatedproduct=20times5=100Estimated\, product =20 \\times5 =100

STEP 4

Now that we have the estimated product, we can compare this with the given answer in the problem, which is 107.16107.16.

STEP 5

Given that our estimated product is 100100 and the actual answer is 107.16107.16, we can see that these two numbers are reasonably close. Therefore, the answer is reasonable.
The answer is yes, the given answer is reasonable.

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