Order of Operations
Larisa is hosting a pie party for her friends.
She ordered 4 large pies, then one friend brought 2 large pies as well. If each pie has 8 slices, how many slices will they have in all?
Writing a Number Sentence
Larisa ordered 4 large pies, then one friend brought 2 large pies as well.
4 + 2
Translates to:
Each pie has 8 slices.
Translates to:
× 8
We use brackets or parentheses whenever we have to solve a specific operation first before moving to others.
The number sentence is:
(4 + 2) × 8
We first solve expressions in parentheses and brackets.
(4 + 2)
× 8
4 + 2 = 6
6 × 8 = 48
They will have 48 slices of pies in all!
Rules of Order of Operations
Solve expressions in parentheses & brackets first.
Next, solve multiplication & division.
Lastly, solve addition & subtraction.
When two of the same operations exist, solve them from left to right.
Which expression should we solve first?
3 × 4 + 9 - 5
Multiplication or Division:
3 × 4 + 9 - 5
3 × 4 = 12
Addition or Subtraction, from left to right:
12 + 9 - 5
21 - 5
12 + 9 = 21
21 - 5 = 16
What is the number sentence for this story?
Arth is buying supplies for his camping trip. He needs to purchase tents for his group. Each tent costs $50. He also needs to buy sleeping bags, which cost $30 each. If Arth is buying tents for 3 friends and sleeping bags for 2 friends, how much will he spend in total?
(50 + 30) × (3 + 2)
(50 × 3) + (2 × 30)
50 × 3 + 2 × 30
answer key
What is the number sentence for this story?
Arth is buying supplies for his camping trip. He needs to purchase tents for his group. Each tent costs $50. He also needs to buy sleeping bags, which cost $30 each. If Arth is buying tents for 3 friends and sleeping bags for 2 friends, how much will he spend in total?
(50 × 3) + (2 × 30)
Review: Order of Operations
1
Parentheses or
brackets
2
Multiplication or division
3
Addition or subtraction
Resources
Educational Resources
Mathspace. "4.07 Order of operations"
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