select the correct answer.\nwhat is the solution to the problem expressed to the correct number of…

select the correct answer.\nwhat is the solution to the problem expressed to the correct number of significant figures?\n15.11+(142×16.5)=?\n\na. 2,358\nb. 2,358.1\nc. 2,360\nd. 2,400

select the correct answer.\nwhat is the solution to the problem expressed to the correct number of significant figures?\n15.11+(142×16.5)=?\n\na. 2,358\nb. 2,358.1\nc. 2,360\nd. 2,400

Answer

Explanation:

Step1: Calculate the product

$142\times16.5 = 2343$

Step2: Calculate the sum

$15.11+2343=2358.11$

Step3: Determine significant - figures

The number $142$ has 3 significant figures, and $16.5$ has 3 significant figures. When multiplying or dividing, the result should have the same number of significant figures as the number with the fewest significant figures in the values being multiplied or divided. When adding or subtracting, the result should be rounded to the same decimal place as the number with the least number of decimal places among the values being added or subtracted. Since $142$ and $16.5$ have 3 significant figures, and we are adding a number with two decimal places ($15.11$) to a whole - number result of the multiplication, we round the final answer to 3 significant figures. Rounding $2358.11$ to 3 significant figures gives $2360$.

Answer:

C. 2,360