earth is approximately 5×10^9 years old. for which of these ages could this be an approximation? select all…

earth is approximately 5×10^9 years old. for which of these ages could this be an approximation? select all that apply. a. 4,819,000,000 years b. 4.37×10^9 years c. 4,751,200,000 years d. 48,000,000,000 years e. 4.529999999×10^9 years

earth is approximately 5×10^9 years old. for which of these ages could this be an approximation? select all that apply. a. 4,819,000,000 years b. 4.37×10^9 years c. 4,751,200,000 years d. 48,000,000,000 years e. 4.529999999×10^9 years

Answer

Explanation:

Step1: Convert options to scientific - notation

A. $4819000000 = 4.819\times 10^{9}$; B. $4.37\times 10^{9}$; C. $4751200000=4.7512\times 10^{9}$; D. $48000000000 = 4.8\times 10^{10}$; E. $4.529999999\times 10^{9}$

Step2: Compare with $5\times 10^{9}$

We look for values close to $5\times 10^{9}$. Values in scientific - notation with a coefficient close to 5 are considered approximations. $4.819\times 10^{9}$, $4.37\times 10^{9}$, $4.7512\times 10^{9}$, $4.529999999\times 10^{9}$ are all relatively close to $5\times 10^{9}$, while $4.8\times 10^{10}$ is not.

Answer:

A. $4819000000$ years, B. $4.37\times 10^{9}$ years, C. $4751200000$ years, E. $4.529999999\times 10^{9}$ years