Question

The volume of the moon is about 2.0 x 1010 cubic km. The volume of the Earth is about 1.0 x 1012 cubic km. About how many moon volumes could it inside of the volume of the Earth?​

Answer 1

Answer:

50

Step-by-step explanation:

$\frac{1.0 \times 10^{12}}{2.0 \times 10^{10}}=50$

Answer 2

Answer:

50

Step-by-step explanation:

Given:

• Volume of the Moon = 2.0 × 10¹⁰  km³

• Volume of the Earth = 1.0 × 10¹²  km³

To find how many Moon volumes could fit inside of the volume of the Earth, divide the given volume of the Earth by the given volume of the Moon:

$\sf \implies \dfrac{1.0 \times 10^{12}}{2.0 \times 10^{10}}$

Separate:

$\sf \implies \dfrac{1.0}{2.0} \times \dfrac{10^{12}}{10^{10}}$

$\textsf{Apply the Quotient Rule of exponents} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\sf \implies 0.5 \times 10^{12-10}$

$\sf \implies 0.5 \times 10^{2}$

Simplify:

$\implies \sf 0.5 \times 10 \times 10$

$\implies \sf 5 \times 10$

$\implies \sf 50$

Therefore, 50 Moon volumes could fit inside the volume of the Earth.