Math

QuestionCalculate the result of 413.20.0042.0413.2 - 0.004 - 2.0 and express your answer with the correct significant figures.

Studdy Solution

STEP 1

Assumptions1. We are subtracting three numbers413.,0.004, and.0. We need to report the answer using significant figures

STEP 2

First, let's perform the subtraction operation.
413.20.0042.0413.2 -0.004 -2.0

STEP 3

Subtract0.004 from413.2.
413.20.004=413.196413.2 -0.004 =413.196

STEP 4

Now, subtract2.0 from the result.
413.1962.0=411.196413.196 -2.0 =411.196

STEP 5

Now, we need to consider the significant figures. The number with the least number of decimal places is2.0, which has one decimal place. Therefore, our answer should also have one decimal place.

STEP 6

Round the result to one decimal place.
411.196411.2411.196 \approx411.2The result of the calculation, reported with the correct number of significant figures, is411.2.

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