Math

QuestionCalculate (17.103+2.03)×1.02521(17.103 + 2.03) \times 1.02521 with the correct number of significant figures.

Studdy Solution

STEP 1

Assumptions1. The numbers given are17.103,.03, and1.02521. . We are asked to add the first two numbers and then multiply the result by the third number.
3. The result should be reported with the correct number of significant figures.

STEP 2

First, add the first two numbers.
Sum=17.103+2.03Sum =17.103 +2.03

STEP 3

Calculate the sum.
Sum=17.103+2.03=19.133Sum =17.103 +2.03 =19.133

STEP 4

Now, multiply the sum by the third number.
Product=Sum×1.02521Product = Sum \times1.02521

STEP 5

Plug in the value for the sum to calculate the product.
Product=19.133×1.02521Product =19.133 \times1.02521

STEP 6

Calculate the product.
Product=19.133×1.02521=19.61389393Product =19.133 \times1.02521 =19.61389393

STEP 7

The result should be reported with the correct number of significant figures. The number of significant figures in the result is determined by the number with the fewest significant figures in the original problem. In this case, the number2.03 has the fewest significant figures (3). Therefore, the final answer should be rounded to three significant figures.

STEP 8

Round the product to three significant figures.
Product=19.6138939319.6Product =19.61389393 \approx19.6The answer to the problem is19.6.

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