Madison says that 579.8 x 0.001 is the same as 579.8 divide by 10 to the power of 3 is she correct?

Answer 1

Yes, Madison is correct.

To understand why, we can break it down:

1. When you multiply a number by \(0.001\), you can also express \(0.001\) as \(\frac{1}{1000}\), which is \(10^{-3}\).

   So,

   \[ 579.8 \times 0.001 = 579.8 \times \frac{1}{1000} = \frac{579.8}{1000} \]

2. Dividing by \(1000\) is the same as dividing by \(10^3\):

   \[ \frac{579.8}{1000} = \frac{579.8}{10^3} \]

Therefore, \(579.8 \times 0.001\) is indeed the same as \(579.8\) divided by \(10^3\).