Math

QuestionCalculate 9.725×103+3.58×102+6.19.725 \times 10^{3}+3.58 \times 10^{2}+6.1 and round to the correct significant figures.

Studdy Solution

STEP 1

Assumptions1. We are given three numbers 9.725×1039.725 \times10^{3}, 3.58×103.58 \times10^{}, and 6.16.1. . We need to add these numbers together.
3. We need to ensure that our final answer respects the rules of significant figures (SFs) for addition and subtraction.

STEP 2

First, we need to convert each of these numbers to standard form to make the addition easier.
9.725×10=97259.725 \times10^{} =9725.58×102=358.58 \times10^{2} =3586.1=6.16.1 =6.1

STEP 3

Now, we can add these numbers together.
Total=9725+358+6.1Total =9725 +358 +6.1

STEP 4

Calculate the total sum.
Total=972+358+6.1=10089.1Total =972 +358 +6.1 =10089.1

STEP 5

Now, we need to ensure that our answer respects the rules of significant figures for addition and subtraction. The rule states that the answer should be reported to the least number of decimal places in the original numbers. In our case, the number with the least decimal places is .1.1 which has one decimal place.

STEP 6

Therefore, we need to round our answer to one decimal place.
Finalanswer=10089.110089.1Final\, answer =10089.1 \approx10089.1The correct answer to the math problem is 10089.110089.1.

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