Order of Operations
36 ÷ 6 × 4
24
In this problem:
12 + 6 × 4
What operation should you do first?
Multiplication
A student solves:
6 + 4 × 5
10 × 5
= 50
What did they do wrong?
They added before multiplying.
A farmer has 8 baskets with 24 apples in each basket.
How many apples does the farmer have?
8x24= 192 apples
Solve:
7 × 8 + 12
68
5 + 24 ÷ 6 × 2
13
What should you do first?
(18 − 6) × 3
Parentheses
A student solves:
30 ÷ 5 × 2
30 ÷ 10
= 3
What did they do wrong?
They did multiplication before division instead of working left to right.
A bakery has 192 muffins and sells 35.
How many muffins are left?
192-35=157 muffins
Solve:
54 ÷ 6 × 3
27
30 − 4 × 5 + 8
18
Solve:
45 ÷ 5 + 7 × 2
What should you do first?
Division, because it comes first when working left to right.
A student solves:
4 + (10 − 6) × 3
4 + 10 − 18
= −4
What did they forget?
Solve the parentheses first.
A farmer has 15 baskets with 18 apples each. She gives away 42 apples.
How many apples remain?
15x18-42=288 apples
Solve:
20 − 3 × 4
8
48 ÷ (4 × 3) + 7
11
What happens when you have multiplication and division in the same problem?
Work from left to right. First come, first serve.
Mrs. Grappe says:
"Addition always comes before subtraction."
True or False?
❌ False!
A farmer has 15 baskets with 18 apples each. She gives away 42 apples and puts the rest equally into 6 boxes.
How many apples are in each box?
(15x18-42)/6=38 apples
Solve:
(18 + 6) ÷ 4
6
10 + (11 − 3) × 5 ÷ 2
30
Explain the correct order for solving:
8 + (12 − 4) × 5
A student solves:
24 ÷ 6 × 2 + 5
as:
24 ÷ 12 + 5 = 7
Find their mistake and solve correctly.
Work left to right:
24 ÷ 6 = 4
4 × 2 = 8
8 + 5 = 13
Create the expression!
A store has 12 boxes with 25 pencils in each box. It sells 48 pencils and then divides the remaining pencils equally among 6 classrooms.
Write an expression and solve.
(12×25−48)÷6
(300−48)÷6
(300 − 48) ÷ 6
252÷6=42
Three friends have $300 altogether.
How much money does each person have?
Students must draw a tape diagram.
Carlos: $300 − $190 = $110
Ben:$170 − $110 = $60
Ava:$190 − $60 = $130
🏆 Final Answer
Ava = $130
Ben = $60
Carlos = $110