choose all of the correct statements.\na $6.3 \\times 10^{7}$ is approximately 20 times larger than $3.1…

choose all of the correct statements.\na $6.3 \\times 10^{7}$ is approximately 20 times larger than $3.1 \\times 10^{8}$.\nb $19.6 \\times 10^{6}$ is approximately 65 times larger than $3.0 \\times 10^{5}$.\nc $8.6 \\times 10^{-6}$ is approximately 41 times larger than $2.1 \\times 10^{-5}$.\nd $5.9 \\times 10^{-6}$ is approximately 28 times larger than $2.1 \\times 10^{-7}$.

choose all of the correct statements.\na $6.3 \\times 10^{7}$ is approximately 20 times larger than $3.1 \\times 10^{8}$.\nb $19.6 \\times 10^{6}$ is approximately 65 times larger than $3.0 \\times 10^{5}$.\nc $8.6 \\times 10^{-6}$ is approximately 41 times larger than $2.1 \\times 10^{-5}$.\nd $5.9 \\times 10^{-6}$ is approximately 28 times larger than $2.1 \\times 10^{-7}$.

Answer

Explanation:

Step1: Evaluate Statement A

Calculate ratio: $\frac{6.3 \times 10^7}{3.1 \times 10^8} = \frac{6.3}{3.1} \times 10^{7-8} \approx 2.03 \times 10^{-1} = 0.203$

Step2: Evaluate Statement B

Calculate ratio: $\frac{19.6 \times 10^6}{3.0 \times 10^5} = \frac{19.6}{3.0} \times 10^{6-5} \approx 6.53 \times 10^{1} = 65.3$

Step3: Evaluate Statement C

Calculate ratio: $\frac{8.6 \times 10^{-6}}{2.1 \times 10^{-5}} = \frac{8.6}{2.1} \times 10^{-6-(-5)} \approx 4.095 \times 10^{-1} = 0.41$

Step4: Evaluate Statement D

Calculate ratio: $\frac{5.9 \times 10^{-6}}{2.1 \times 10^{-7}} = \frac{5.9}{2.1} \times 10^{-6-(-7)} \approx 2.81 \times 10^{1} = 28.1$

Answer:

B. $19.6 \times 10^{6}$ is approximately 65 times larger than $3.0 \times 10^{5}$. D. $5.9 \times 10^{-6}$ is approximately 28 times larger than $2.1 \times 10^{-7}$.