QuestionCalculate the sum of $5.295 + 33.75 + 2.12$ and express your answer with the correct significant figures.

Studdy Solution

STEP 1

Assumptions1. We are asked to add the numbers5.295,33.75, and.12. . The result should be rounded to the correct number of significant figures (SFs) based on the + or - rule. This rule states that the result should have the same number of decimal places as the number in the calculation with the least number of decimal places.

STEP 2

First, we add the numbers together without considering the significant figures.
$Sum =5.295 +33.75 +2.12$

STEP 3

Calculate the sum.
$Sum =5.295 +33.75 +2.12 =41.165$

STEP 4

Now, we need to round the result to the correct number of significant figures. The number with the least number of decimal places in the calculation is2.12, which has two decimal places.

STEP 5

Therefore, we round the result to two decimal places.
$Rounded\, sum =41.17$ The correct answer to the math problem is41.17.

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