Math

QuestionCalculate 275.75113.5+36.125275.75 - 113.5 + 36.125 and round to the correct significant figures.

Studdy Solution

STEP 1

Assumptions1. We are performing arithmetic operations on the given numbers. . The operations are subtraction and addition.
3. The numbers are275.75, -113.5, and36.125.
4. The operation should be performed from left to right.
5. The result should be rounded to the correct number of significant figures based on the + or - rule.

STEP 2

First, perform the subtraction operation.
275.75113.5275.75 -113.5

STEP 3

Calculate the result of the subtraction.
275.75113.5=162.25275.75 -113.5 =162.25

STEP 4

Now, add the result of the subtraction to the third number.
162.25+36.125162.25 +36.125

STEP 5

Calculate the result of the addition.
162.25+36.125=198.375162.25 +36.125 =198.375

STEP 6

Now, we need to round the result to the correct number of significant figures based on the + or - rule. The rule states that the answer should have the same number of decimal places as the number in the operation with the least number of decimal places. In this case, the number with the least decimal places is -113.5, which has1 decimal place.
198.375198.4198.375 \approx198.4The correct answer to the math problem is198.4.

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