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Evaluate expressions with whole numbers

Evaluating expressions with whole numbers means determining the single numerical value of expressions involving addition, subtraction, multiplication, division, grouping symbols, and whole-number exponents by interpreting their structure and applying the conventional order of operations. The understanding includes recognizing that grouping changes which operations are performed first and that expressions can look different yet have the same value; it is limited to nonnegative whole-number quantities and does not include negative numbers, rational exponents, or solving for variables.

Detailed Explanation: Evaluate expressions with whole numbers

To evaluate an expression, find its one numerical value by following the order of operations:

  1. Grouping symbols such as parentheses
  2. Exponents
  3. Multiplication and division from left to right
  4. Addition and subtraction from left to right

Work through one step at a time.

Evaluate:

3(4+22)−8÷23(4+2^2)-8\div 2

Step 1: Evaluate the exponent.

22=42^2=4

Now the expression is:

3(4+4)−8÷23(4+4)-8\div 2

Step 2: Evaluate inside the parentheses.

4+4=84+4=8

Now the expression is:

3(8)−8÷23(8)-8\div 2

Step 3: Do multiplication and division from left to right.

3(8)=248÷2=43(8)=24 \qquad 8\div 2=4

Now the expression is:

24−424-4

Step 4: Subtract.

24−4=2024-4=20

Therefore,

20\boxed{20}

Do not add or subtract before completing the parentheses, exponent, multiplication, and division.

Learn by doing: Evaluate expressions with whole numbers

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    Order of Operations - Add, Subtract, Mutiply, Divide, and Parentheses with Exponents

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