Write 8/25 in Decimal (use the prime factorization of the denominator and explain if it repeats or terminates).

8/25 = 32/100

Convert that to a decimal.
It won't repeat.

I don't see what prime factorization has to do with it, but maybe another teacher will.

Dividing 25 into 8 by long division will also get you the answer.

thank you

To write 8/25 as a decimal, you need to divide the numerator (8) by the denominator (25). Let's break down the process and simplify it step by step:

Step 1: Prime factorization of the denominator (25):
25 can be expressed as 5 * 5 or 5^2.

Step 2: Division:
Now, divide the numerator (8) by the denominator (25):

8 ÷ 25 = 0.32

So, 8/25 as a decimal is 0.32.

Explanation of whether it repeats or terminates:
In this case, the decimal representation of 8/25 terminates. This means that the decimal has a finite number of digits after the decimal point.