Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11 multiple choice 0.3 points calculate 7.8213 + 0.020 ÷ 4.125 and repo…

Question

11 multiple choice 0.3 points calculate 7.8213 + 0.020 ÷ 4.125 and report to the correct number of significant figures. 4.125 1.9009 0.020 7.8261 7.83 1.901 7.8213 clear my selection

Explanation:

Step1: Perform division

$0.020\div4.125=\frac{0.020}{4.125}\approx0.00485$

Step2: Perform addition

$7.8213 + 0.00485=7.82615$

Step3: Round to correct significant - figures

The number 0.020 has 2 significant figures. When adding and dividing, we consider the least number of significant figures in the values used in the calculation for the final answer's significant - figures. Rounding 7.82615 to 2 decimal places (since 0.020 has 2 significant figures), we get 7.83.

Answer:

7.83