Question

What answer should be reported, with the correct number of significant figures, for the following calculation? (965.43 × 3.911) + 9413.4136 What answer should be reported, with the correct number of significant figures, for the following calculation? (965.43 × 3.911) + 9413.4136 13189 1.3 × 104 1.319 × 104 13189.2 1.32 × 104

Answer 1

The answer should be reported as 13189.2 with the correct number of significant figures.

Step-by-step explanation:

To determine the correct number of significant figures in the answer, we follow the rules for significant figures. In the given calculation, (965.43 × 3.911) + 9413.4136, the first multiplication operation has five significant figures (3 in 965.43 + 4 in 3.911) and the addition operation has eight significant figures (5 in the previous result + 8 in 9413.4136). Therefore, we limit our final answer to five significant figures, giving us 13189.2.

Answer 2

The correct option is: 1.319 × 10⁴

Step-by-step explanation:

Significant figures or digits refers to the digits of a number that have meaning and also contribute to precision of the given number.

The scientific or standard form involves writing the significantly large or small numbers in decimal form. The standard form does not include any insignificant figures.

Therefore,

(965.43 × 3.911) + 9413.4136

= 3775.79673 + 9413.4136

= 13189.21033

Now, expressing in the standard form and rounding the answer to three digits after the decimal,

13189.21033 = 1.318921033 × 10⁴ = 1.319 × 10⁴ , has four non-zero significant figures.