Question

2 benicio is studying the solar system and learned that the diameter of the earths moon is about 3,472,964 meters. benicio has a beach ball at his house with a diameter of 0.3048 meters. statement t/f? the diameter of earths moon can be estimated using 3 x 10^6 meters. the diameter of the beach ball can be estimated using 3 x 10^(-1) meters. the diameter of earths moon is about 1 x 10^5 times greater than the diameter of the beach ball. rewrite the false statement to make it true:

Explanation:

Step1: Analyze the first statement

The diameter of Earth's moon is about 3,472,964 meters. In scientific - notation, it is approximately $3.472964\times 10^{6}$ meters, not $3\times 10^{6}$ meters. So the first statement is False.

Step2: Analyze the second statement

The diameter of the beach - ball is 0.3048 meters. In scientific - notation, it is $3.048\times 10^{- 1}$ meters, which is approximately $3\times 10^{-1}$ meters. So the second statement is True.

Step3: Analyze the third statement

The ratio of the diameter of Earth's moon ($d_{moon}=3472964$ meters) to the diameter of the beach - ball ($d_{ball}=0.3048$ meters) is $\frac{3472964}{0.3048}=11394238.8451$. In scientific - notation, it is about $1.14\times 10^{7}$ times, not $1\times 10^{5}$ times. So the third statement is False.

Step4: Rewrite the false statements

The first statement can be rewritten as: The diameter of Earth's moon can be estimated using $3.5\times 10^{6}$ meters. The third statement can be rewritten as: The diameter of Earth's moon is about $1.14\times 10^{7}$ times greater than the diameter of the beach ball.

Answer:

The first statement is False. It can be rewritten as: The diameter of Earth's moon can be estimated using $3.5\times 10^{6}$ meters.
The second statement is True.
The third statement is False. It can be rewritten as: The diameter of Earth's moon is about $1.14\times 10^{7}$ times greater than the diameter of the beach ball.