QuestionFind the sum of $19.25$ , $31.535$ , and $16.7125$ with the correct significant figures.

Studdy Solution

STEP 1

Assumptions1. We are adding three numbers19.25,31.535, and16.7125. The rule for determining the number of significant figures (SFs) in the result of an addition or subtraction operation is based on the least number of decimal places in the numbers involved.

STEP 2

First, we need to add the three numbers together.
$Sum =19.25 +31.535 +16.7125$

STEP 3

Calculate the sum of the three numbers.
$Sum =19.25 +31.535 +16.7125 =67.4975$

STEP 4

Now, we need to determine the number of significant figures in the result. For addition or subtraction, the result should have the same number of decimal places as the number with the least decimal places. In this case,19.25 has the least number of decimal places (2).

STEP 5

Round the sum to the same number of decimal places as the number with the least decimal places.
$Rounded\, Sum =67.50$ The correct answer to the math problem is67.50.

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