What answer should be reported, with the correct number of significant figures, for the following calculation:

(965.43 x 3.91) + 9413.4136

I got 13189 as an answer. Can someone let me know if this is right?

For the (), you multiply and then to 3 sig figs for that part=3770. For the addition (3770+9413.4136), your sig figs are to the place of the decimal b/c the first answer only goes to the decimal place so answer is 13183 or 1.3183 x 10^4

To determine the correct number of significant figures, remember the following rules:

1. For multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

2. For addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.

Let's apply these rules to the calculation:

Step 1: Multiply 965.43 by 3.91:
965.43 × 3.91 = 3770.1613

Step 2: Add the result from step 1 to 9413.4136:
3770.1613 + 9413.4136 = 13183.5749

Now, let's consider the significant figures:

The measurement with the fewest significant figures in the calculation is 3.91, which has three significant figures. Therefore, the final answer should also have three significant figures.

Rounding the result to three significant figures, we get:
13183.5749 ≈ 13200

So, the correct answer, with the appropriate number of significant figures, is 13200.

The answer you provided, 13189, does not have the correct number of significant figures.