Given the calculation: (12.02 × 10²³)/22.00 = ?, what is the answer reported to the correct number of significant figures? A) 5.56 × 10^-23 B) 5.55 × 10^-23 C) 5.5 × 10²² D) 5.464 × 10²²

Question

Quizplus · Accepted Answer

- The number being divided by (22.00) has only two significant figures, so the answer cannot have more than two significant figures. - The calculation involves multiplication and division, so we count the number of significant figures in the starting value (12.02), which has four significant figures. - To get the answer with two significant figures, we need to round to the second digit after the decimal point, using the rounding rule "if the third digit after the decimal point is 5 or greater, round up; if it is less than 5, round down". - The result of the calculation is 0.547695..., which rounds down to 0.54. - The scientific notation for 0.54 is 5.464 × 10²², which has two significant figures and the correct exponent to represent the decimal point in the original calculation.

Given the Calculation: (12