Question

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.
the average weight of a bumblebee is about 0.00025 pounds. the average weight of a blue whale is about 330,000 pounds.
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 10^6 times greater than the diameter of the beach ball.
rewrite the false statement to make it true:
statement t/f?
the weight of a bumblebee can be estimated using 3 x 10^-4 pounds.
the weight of a blue whale can be estimated using 3 x 10^5 pounds.
the weight of a blue whale is about 3 x 10^6 times greater than the weight of a bee.
rewrite the false statement to make it true:

Explanation:

Step1: Analyze moon - beach ball statements

The diameter of the Earth's moon is about $3.472\times10^{6}$ meters. The diameter of the beach - ball is $0.3048$ meters.

Step2: Calculate the ratio of moon's diameter to beach - ball's diameter

$\frac{3.472\times 10^{6}}{0.3048}\approx1.14\times 10^{7}$. So the statement "The diameter of Earth’s moon is about $1\times 10^{6}$ times greater than the diameter of the beach ball" is false.

Step3: Analyze bumblebee - blue whale statements

The weight of a bumblebee is about $0.00025 = 2.5\times10^{-4}$ pounds. The weight of a blue whale is about $330000=3.3\times 10^{5}$ pounds.

Step4: Calculate the ratio of blue whale's weight to bumblebee's weight

$\frac{3.3\times 10^{5}}{2.5\times 10^{-4}} = 1.32\times 10^{9}$. So the statement "The weight of a blue whale is about $3\times 10^{8}$ times greater than the weight of a bee" is false.

Answer:

For moon - beach ball:

• The diameter of Earth’s moon can be estimated using $3.472\times 10^{6}$ meters. (T)
• The diameter of the beach ball can be estimated using $3\times 10^{-1}$ meters. (T)
• The diameter of Earth’s moon is about $1.14\times 10^{7}$ times greater than the diameter of the beach ball. (Rewrite of false statement)

For bumblebee - blue whale:

• The weight of a bumblebee can be estimated using $2.5\times 10^{-4}$ pounds. (T)
• The weight of a blue whale can be estimated using $3.3\times 10^{5}$ pounds. (T)
• The weight of a blue whale is about $1.32\times 10^{9}$ times greater than the weight of a bee. (Rewrite of false statement)