Final answer:
To calculate with proper significant figures: A) 9.15⁄4.970 should be reported as 1.84; B) 1.54 x 0.03060 x 0.69 is 0.032; C) 27.5 x 1.82⁄100.04 is 0.500; D) (2.290 x 10⁶)⁄(6.7 x 10⁴) is 3.4 x 10².
Step-by-step explanation:
To perform these calculations, we must consider significant figures in each of the measurements provided. When dividing or multiplying, the number of significant figures in the result should match the least number of significant figures in any of the measurements used in the calculation.
A) 9.15÷4.970: The first number has three significant figures, while the second has four. The result should be reported with three significant figures. The calculation yields 1.8410, but we report it as 1.84.
B) 1.54 x 0.03060 x 0.69: The least number of significant figures among these numbers is two (0.69), hence the final result should be reported with two significant figures. Calculating the product yields 0.03218856, which rounds to 0.032.
C) 27.5 x 1.82÷100.04: Here, the numbers have three, three, and five significant figures, respectively. The result is divided by a number with five figures, so we should report our answer with three significant figures. The calculation results in 0.5000459, which rounds to 0.500.
D) (2.290 x 10⁶)÷(6.7 x 10⁴): When dealing with scientific notation, we look at the significant figures in the coefficients 2.290 and 6.7, which are four and two, respectively. Therefore, we report our answer with two significant figures. The result of the division is 341.79104 (in scientific notation: 3.4179104 x 10²), so we report it as 3.4 x 10².