Find the numerical equivalent of 25 ⋅2−2 (1 point)

1 answer

To evaluate the expression \( 25 \cdot 2^{-2} \), we first need to calculate \( 2^{-2} \).

The term \( 2^{-2} \) is equivalent to \( \frac{1}{2^2} \):

\[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \]

Now, we can substitute this back into the expression:

\[ 25 \cdot 2^{-2} = 25 \cdot \frac{1}{4} \]

Next, we perform the multiplication:

\[ 25 \cdot \frac{1}{4} = \frac{25}{4} \]

To express this in decimal form, we can perform the division:

\[ \frac{25}{4} = 6.25 \]

Therefore, the numerical equivalent of \( 25 \cdot 2^{-2} \) is:

\[ \boxed{6.25} \]