Question

which of the following is the answer with the correct number of significant figures: (5.63×10²)×(7.4×10³)=? 4.1662×10⁶ 4.2×10⁶ 4.17×10⁶ 4.166×10⁶ question 8 1 pts which of the following is the answer with the correct number of significant figures: 8119×0.000023=? 0.1867 0.187 0.19 0.186737

Explanation:

Step1: Multiply the numbers and add the exponents

For $(5.63\times 10^{2})\times(7.4\times 10^{3})$, first multiply the non - exponential parts: $5.63\times7.4 = 41.662$, then add the exponents of 10: $10^{2 + 3}=10^{5}$. So the result is $41.662\times 10^{5}=4.1662\times 10^{6}$. The number 7.4 has 2 significant figures, so we round the result to 2 significant figures. Rounding $4.1662\times 10^{6}$ to 2 significant figures gives $4.2\times 10^{6}$.

Step2: Multiply the second set of numbers

For $8119\times0.000023$, $8119\times0.000023 = 0.186737$. The number 0.000023 has 2 significant figures, so we round 0.186737 to 2 significant figures. Rounding gives 0.19.

Answer:

Question 1: B. $4.2\times 10^{6}$
Question 2: C. 0.19