QuestionCalculate the sum: $9.725 \times 10^{3} + 3.58 \times 10^{2} + 6.1$ and round to the correct significant figures.

Studdy Solution

STEP 1

Assumptions1. The given numbers are $9.725 \times10^{3}$ , $3.58 \times10^{}$ , and $6.1$ . . The operation to be performed is addition.
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 decimal places in the problem.

STEP 2

First, let's convert the scientific notation to standard notation.
$9.725 \times10^{} =9725$ $.58 \times10^{2} =358$

STEP 3

Now, add the three numbers together.
$9725 +358 +6.1 =10089.1$

STEP 4

According to the rule for significant figures in addition or subtraction, the result should have the same number of decimal places as the number with the least decimal places in the problem. In this case, the number with the least decimal places is $6.1$ , which has one decimal place.

STEP 5

Therefore, we should round the result to one decimal place.
$10089.1 \approx10089.1$ The correct answer to the math problem is $10089.1$ .

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