Order of Operations
The first order of operation.
Parentheses
A mathematical statement that involves only numbers along with one or more operation symbols.
Example: 3 + 2, 43 - 23
The value of 8 + 7 x 2 = ?
22
What is the value of 15 x 3 + 12 x 2?
69
The second order of operation.
Exponents
What is a numerical phrase? Give an example.
A phrase involving numbers. There are NO operation symbols.
Example: 21 less than 34, 2 more than 3
The value of 3 (21 + 7) = ?
84
What is the value of 96 / 4 + 5 x 2?
34
The third and fourth order of operations.
Multiplication and division
What does it mean if two equations are equivalent? Give an example of two equations being equivalent.
They are equal in value.
Example: 2 x 4 and 2 (2 x 2)
The value of 4 x (4 / 4) = ?
4
What is the value of 24 / 8 + 5?
8
The fifth and sixth order of operations.
Addition and subtraction
What is a numerical expression for the word phrase below?
16 plus 12
16 + 12
The value of 3 (3 x 4)?
36
What is the value of (16 / 4) + 4 x (2 - 2)?
4
33
3 x 3 x 3 = 27
Write the following numerical expression as a word phrase:
15 + 8
8 more than 15
The value of 5 (2/1)?
10
What is the value of (1 +2) x (3 -1) / 2
3