Order of Operations Up to Two Levels of Grouping

Multiple Select

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Order of Operations

​(grouping symbols)

​Objective: Perform the order of operations on numerical expressions in preparation to use in algebraic expressions.

Reorder

Let's see if you remember the ORDER OF OPERATIONS.

Reorder the following in the order of operations.

• Grouping Symbols

• Powers

  (exponents)

• Multiplication & Division

• Addition and Subtraction

1

2

3

4

• 1
• 2
• 3
• 4

​Order of Operations

​Jump around and complete...

​

1 - Complete any math inside grouping symbols

2 - Simplify any powers (exponents)​

3 - Complete any multiplication or division

(this is from left to right)

4 - Complete any addition or subtraction

(this is from left to right)

​HARDEST THING FOR STUDENTS TO GRASP

​You DO NOT complete a long math problem by starting at the left and moving along to the right.

​Order of Operations

​Jump around and complete...

​

1 - Complete any math inside grouping symbols

2 - Simplify any powers (exponents)​

3 - Complete any multiplication or division

(this is from left to right)

4 - Complete any addition or subtraction

(this is from left to right)

​EXAMPLE

​5 - 3 × 2 + 8

Multiple Choice

What would the expression be AFTER you perform the FIRST STEP?

5 - 3 × 2 + 9

• 5 - 6 + 9

• 2 × 2 + 9

• 5 - 3 × 11

• 2 × 11

• 5 - 15

Math Response

Evaluate: 9 - 4 × 5 + 3

Type answer here

Correct Answer: -8

Deg^°

Rad

​EXAMPLE

​4 + 8 ÷ 2 - 7 × 2 - 10

Multiple Choice

What would the equation look like after you perform the first step?

4 + 10 ÷ 2 - 4 × 3

• 14 ÷ 2 - 4 × 3

• 4 + 5 - 12

• 14 ÷ -2 × 3

Math Response

Evaluate: 22 - 18 × 2 ÷ 9

Type answer here

Correct Answer: 18

Deg^°

Rad

​Order of Operations

​Jump around and complete...

​

1 - Complete any math inside grouping symbols

2 - Simplify any powers (exponents)​

3 - Complete any multiplication or division

(this is from left to right)

4 - Complete any addition or subtraction

(this is from left to right)

​Examples of GROUPING SYMBOLS

​(parenthesis)

​[brackets]

​|absolute value|

​EXAMPLES

​5 - (9 - 2) + 3

​12 + 1 - (3 - 7) + 7

Math Response

Evaluate: 44 - (1 - 14) - 6

Type answer here

Correct Answer: 51

Deg^°

Rad

​EXAMPLES

​8 - (4 - 6) × 3

Math Response

Evaluate: 18 - (-40 + -36) ÷ -4

Type answer here

Correct Answer: -1

Deg^°

Rad

​ABSOLUTE VALUE

​The distance from zero on a number line

​|7| = _{how many spaces from zero on the number line? ___}

​

​|-7| = _{how many spaces from zero on the number line? ___}

​Example 2

​8 - |9 - 4| + 2

​8 - |4 - 9| + 2

Math Response

Evaluate: 12 + |2 - 7| + 8 

Type answer here

Correct Answer: 25

Deg^°

Rad