Question

the radius of neptune is about 2.4·10⁴ km. the radius of venus is about 6·10³ km. how many tim greater is the radius of neptune than the radius of venus? finish rewriting 2.4·10⁴ as a number times 10³ by multiplying 2.4·10¹. \\(\frac{\text{radius of neptune}}{\text{radius of venus}} = \frac{2.4·10⁴}{6·10³} = \frac{?·10³}{6·10³}\\) \\(2.4·10⁴\\) is rewritten as \\(2.4·10¹·10³\\) and then as \\(\square·10³\\)

Explanation:

Step1: Calculate \(2.4 \cdot 10^{1}\)

We know that \(10^{1}=10\), so we multiply \(2.4\) by \(10\).
\(2.4 \cdot 10^{1}=2.4\times10 = 24\)

Step2: Rewrite \(2.4 \cdot 10^{4}\)

Since \(2.4 \cdot 10^{4}=2.4 \cdot 10^{1}\cdot 10^{3}\), and we found that \(2.4 \cdot 10^{1} = 24\), so \(2.4 \cdot 10^{4}=24\cdot 10^{3}\)

Answer:

24