Question

What is the value of `5g ^ { 2} + 2g h - h` if `g=4` and `h=5`?

Answer 1

115

Explanation:

You have to replace the letters `g` and `h` in the equation with the numbers `g=4` and `h=5`. Here is what that would look like:

`5(4)^2+2(4)(5)-(5)`

Using parentheses around the replaced letters often helps with student's ability to understand the problem. Next, lets apply the order of operations to get the final result.

The order of operations can be remembered by the acronym PEMDAS, which means solve the problem in order of (1) parentheses, (2) exponents, (3) multiplication, (4) division, (5) addition, and (6) subtraction last.

Parenthesis: There is nothing complex inside parenthesis to solve. Only numbers.

Exponents: The 4 is squared. Lets simplify that.
`5(16)+2(4)(5)-(5)`

Multiplication: You can multiply `5xx16=80` and `2xx4xx5=40`
`80+40-5`

Division: Does not apply. There are no fractions or division problems in this expression.

Addition: Add `80+40=120`
`120-5`

Subtraction: Subtract 5 from 120 for the final answer
`115`