The Order of Operations

Define Numerical Expression

A numerical expression is an expression involving numbers and operations.

When simplifying expressions I: a.) Do most of the math in my head, because it's easy, then I write my answer b.) Show my work in steps

A.) I like doing the math in my head B.) I prefer to write everything on scrap paper and show my work

15 is the right answer to which question? A.) 4x6+(3x1)= B.) 8+2(3)+1= C.) 3x3+11= D.) 14-6x2-3=

B.) 8+2(3)+1=

What operation is last in this problem? 7x3-7+1= A.) multiplication B.) subtraction C.) addition D.) parenthesis

C.) Addition

Create an Equivalent Expression for the following expression. Show all work. 4(2)+3(2+4)

Expression must follow the order of operations and equal 26 when simplified Possible answer 6(2)+3(7-1) -4

Why is it important that we use the order of operations?

The order of operations provides us with the proper order needed to solve the problem. Just as we need order and rules in society, we need order in math to solve problems!

True or False: When following the order of operations we always work from left to right.

True. When an expression has multiplication or division in it we work from left to right. Whichever operation comes first in the problem is the one we simplify first. the same rule applies for addition and subtraction.

True or False: When I see a numerical expression I often feel overwhelmed with the amount of numbers there are.

True/False

In the expression below, which operation would we perform first? 4(3+7)x5/2

We would do addition first, because this operation is inside of the parentheses.

I would rather: Answer a Word Problem/ Simplify an Expression

a.) I would rather answer a word problem b.) I would rater simplify an expression

5x4-6+3= a.) 19 b.) 32 c.) 17 d.) 11

c.) 17