Question

think about it: you are tutoring a friend so they can better understand how to use order of operations to solve multi - step expressions. describe the steps you would take to solve this problem: $25 - 3(2^{3})+9$

Explanation:

Step1: Solve the exponent

First, we handle the exponent in the expression. The exponent here is \(2^3\). By the definition of exponents, \(2^3=2\times2\times2 = 8\). So the expression becomes \(25 - 3\times8+9\).

Step2: Perform multiplication

Next, we perform the multiplication operation. We have \(3\times8 = 24\). Now the expression is \(25- 24 + 9\).

Step3: Perform addition and subtraction (left to right)

First, we do the subtraction: \(25-24=1\). Then we do the addition: \(1 + 9=10\).

Answer:

The value of the expression \(25-3(2^3)+9\) is \(10\).