Question

earth is approximately 5 x 10^9 years old. for which of these ages could this be an approximation? select all that apply. a. 4.45 x 10^9 years b. 4,516,300,000 years c. 4.6399999999 x 10^9 years d. 54,000,000,000 years e. 4,683,000,000 years

Explanation:

Step1: Understand approximation concept

Approximation means a value close to the actual value. Given Earth is approximately 5×10⁹ years old.

Step2: Analyze option A

4.45×10⁹ is close to 5×10⁹.

Step3: Analyze option B

4,516,300,000 = 4.5163×10⁹ which is close to 5×10⁹.

Step4: Analyze option C

4.639999999×10⁹ is close to 5×10⁹.

Step5: Analyze option D

54,000,000,000 = 54×10⁹ which is not close to 5×10⁹.

Step6: Analyze option E

4,683,000,000 = 4.683×10⁹ which is close to 5×10⁹.

Answer:

A. 4.45×10⁹ years, B. 4,516,300,000 years, C. 4.639999999×10⁹ years, E. 4,683,000,000 years