Choose one of the scientific numbers from the list and divide it by 0.3 (or divide 0.3 by the number you choose). Show your work.

Answer 1

Let's choose the scientific number \( 6.02 \times 10^{23} \), which is known as Avogadro's number.

To divide \( 6.02 \times 10^{23} \) by \( 0.3 \):

\[ \frac{6.02 \times 10^{23}}{0.3} \]

To perform this division, we can rewrite \( 0.3 \) as \( \frac{3}{10} \):

\[ \frac{6.02 \times 10^{23}}{0.3} = \frac{6.02 \times 10^{23}}{\frac{3}{10}} = 6.02 \times 10^{23} \times \frac{10}{3} \]

Now we can simplify it:

1. Calculate \( \frac{10.02}{3} \): \[ \frac{6.02}{3} = 2.0066667 \approx 2.007 \]

2. Therefore, putting it together: \[ \frac{6.02 \times 10^{23}}{0.3} \approx 2.007 \times 10^{24} \]

So, the result of dividing \( 6.02 \times 10^{23} \) by \( 0.3 \) is approximately \( 2.007 \times 10^{24} \).