Question

The radius of Earth's moon is about (1 x 1,000) + (7 x 10) + (9 × 1) +(6 x T) miles. A moon for another planet has a different radius. That moon's radius is the same as Earth's moon except for the hundreds digit. The digit in the hundreds place for this planet’s moon’s radius is the same as the digit in the place that 1/10 the value of the hundred’s place in Earth’s moon radius. What is the radius of the other moon in standard form

Answer 1

Solution:

Given that the radius of the Earth's moon is

$(1\times1000)+(7\times10)+(9\times1)+(6\times\frac{1}{10})\text{ miles}$

This implies that the radius of the Earth's moon is

$\begin{gathered} (1000+70+9+0.6)miles \\ =1079.6\text{ miles} \end{gathered}$

If a moon for another planet has a different radius such that the moon's radius is same as the Earth's moon except for the hundreds digit.

Let x represent the hundreds digit of the moon's radius.

This implies that the radius of the planet's moon's radius is

$\begin{gathered} 1x79.6 \\ where \\ x\text{ is unknown} \end{gathered}$

If the digit in the hundreds place for the planet's moon's radius is same as the digit in the place that is 1/10 the value of the hundreds place in the Earth's moon's radius.

This implies that

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