Question

What is `5^2 - 25 -: 5 * 2 + 8`?

Answer 1

`5^2-25-:5*2+8 = 23`

Explanation:

Let us use PEMDAS.

Note that the PEMDAS mnemonic does not give greater priority to multiplication over division or addition over subtraction. It actually expands out as:

P for Parentheses

E for Exponents

MD for Multiplication and Division (left to right)

AS for Addition and Subtraction (left to right)

So, starting with:

`5^2-25-:5*2+8`

we evaluate the exponent (`5^2 = 25`) first to get:

`5^2-25-:5*2+8 = 25-25-:5*2+8`

Next, multiplication and division working from left to right:

`25-25-:5*2+8=25-5*2+8=25-10+8`

Finally, addition and subtraction, working from left to right:

`25-10+8 = 15+8 = 23`