Question

Solve and simplify: 1925
- 425
(You will only get full credit if you simplify).(2 points)

Answer 1

To solve the expression \( 1925 - 425 \):

First, perform the subtraction:

\[
1925 - 425 = 1500
\]

Next, we simplify the result. The number 1500 can be factored into its prime components for simplification.

1500 can be expressed as:

\[
1500 = 15 \times 100
\]

Breaking it down further:

\[
15 = 3 \times 5 \quad \text{and} \quad 100 = 10 \times 10 = (2 \times 5) \times (2 \times 5) = 2^2 \times 5^2
\]

Putting this together, we have:

\[
1500 = 3 \times 5 \times 2^2 \times 5^2 = 3 \times 2^2 \times 5^3
\]

Thus, the prime factorization of 1500 is:

\[
1500 = 2^2 \times 3^1 \times 5^3
\]

We have solved and simplified:

\[
\boxed{1500}
\]