Compare Decimals: Is 0.45 Equal to 0.045?

To determine if these two decimal fractions are equal, we compare the numbers directly. The first number is $0.45$, which is equivalent to the fraction $\frac{45}{100}$. The second number is $0.045$, which is equivalent to the fraction $\frac{45}{1000}$.

First, let's convert $0.45$ to thousandths to compare it directly with $0.045$:

$0.45 = \frac{45}{100} = \frac{450}{1000}$

Now, compare $\frac{450}{1000}$ and $\frac{45}{1000}$: clearly, $450 \neq 45$.

Therefore, $0.45 \neq 0.045$, making the expression false.