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QuestionRound the following calculations to the correct significant figures:
1. 23.723.37\frac{23.72}{3.37}
2. 9+2.8−0.135+10.69 + 2.8 - 0.135 + 10.6
3. (23.723.37)+4.4\left(\frac{23.72}{3.37}\right) + 4.4

Studdy Solution

STEP 1

Assumptions1. The operations must be performed in the correct order, following the BIDMAS/BODMAS rule (Brackets, Indices/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)). . The final answers must be rounded to the correct number of significant figures.

STEP 2

First, we need to round the result of the division operation to the correct number of significant figures. The number with the least significant figures in the operation is.37, which has three significant figures. Therefore, the result should also have three significant figures.
23.72.37=7.0386≈7.04\frac{23.72}{.37}=7.0386 \approx7.04

STEP 3

Next, we need to round the result of the addition and subtraction operation to the correct number of significant figures. The number with the least significant figures in the operation is9, which has one significant figure. Therefore, the result should also have one significant figure.
9+2.8−0.135+10.6=22.265≈209+2.8-0.135+10.6=22.265 \approx20

STEP 4

Finally, we need to round the result of the division operation followed by the addition operation to the correct number of significant figures. The number with the least significant figures in the operation is4.4, which has two significant figures. Therefore, the result should also have two significant figures.
(23.723.37)+4.4=11.439≈11\left(\frac{23.72}{3.37}\right)+4.4=11.439 \approx11So, the rounded answers are7.04,20, and11.

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