QuestionCalculate $275.75 - 113.5 + 36.125$ and round to the correct significant figures based on the + or - rule.

Studdy Solution

STEP 1

Assumptions1. We are performing a series of arithmetic operations subtraction and addition. . The numbers are given in decimal form.
3. The rule for significant figures (SFs) in addition or subtraction is that the result should have the same number of decimal places as the number with the least number of decimal places in the problem.

STEP 2

First, let's perform the subtraction operation.
$275.75 -113.5 =162.25$

STEP 3

Next, we add the result of the subtraction to the third number.
$162.25 +36.125 =198.375$

STEP 4

Now, we must adjust our answer to the correct number of significant figures. The number with the least number of decimal places in the problem is113., which has one decimal place. Therefore, our answer should also have one decimal place.
$198.375 \approx198.4$ The correct answer to the math problem $275.75-113.+36.125=$ is $198.4$ when rounded to the correct number of significant figures.

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