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Select the correct order of Operations.

• PEMDAS

• PESMAD

• EMSPAD

• SPEMDA

Answer explanation

P - Parentheses (brackets)

E - Exponents (5² = 5 x 5)

M D - Multiplication & Division (whichever comes first)

A S - Addition & Subtraction (whichever comes first)

7 x (8 + 24) ÷ 8 + 3 - 13

Which operation would you do first?

• 7 x 8

• 8 + 24

• 3 - 13

• 8 + 3

Answer explanation

PEMDAS

Parentheses first!

so (8 + 24)

Calculate:

19 - 2 x 2 + 4

• 38

• 7

• 19

• 102

Answer explanation

PEMDAS

No Parentheses or Exponents so we must work the MULTIPLICATION FIRST

2 x 2 = 4

NEXT we do the addition and subtraction in the order they appear

19 - 4 + 4

SO 19 - 4 = 15

THEN 15 + 4 = 19

Calculate:

25 + (3 - 2) x 15

• 40

• 390

• 68

• 50

Answer explanation

PEMDAS

Parentheses FIRST (3 - 2) = 1

So now we have 25 + 1 x 15

MULTIPLICATION next!

1 x 15 = 15

So now we have 25 + 15

ADDITION LAST!!!

25 + 15 = 40

Addition must ALWAYS be done before Subtraction

• TRUE

• FALSE

Answer explanation

FALSE!!!

Addition and Subtraction have the same order so we work from LEFT to RIGHT.

Whichever comes first is done first.

• 3 x 2

• 3 x 3

Answer explanation

PEMDAS

Exponents come BEFORE Addition and Subtraction so they mean to MULTIPLY!!

3² means 3 x 3 = 9

Calculate:

12 + 36 ÷ 4

• 21

• 12

• 39

Answer explanation

PEMDAS

Division comes BEFORE addition!!

FIRST - Work out 36 ÷ 4 = 9

Now we have 12 + 9

THEN add em up!

12 + 9 = 21

Calculate:

9 ÷ 3 + 4 x 6

• 6

• 42

• 4

• 27

Answer explanation

PEMDAS

Multiplication & Division FIRST!!!

9 ÷ 3 = 3

4 x 6 = 24

THEN we Add

3 + 24 = 27

3 x 5 + (4 + 6) - 3²

• 14

• 16

• 19

• 31

Answer explanation

PEMDAS

FIRST - Parentheses

(4 + 6) = 10

So now we have 3 x 5 + 10 - 3²

THEN - Exponents

3² = 3 x 3 = 9

So now we have 3 x 5 - 9

NEXT - Multiplication

3 x 5 = 15

So now we have 15 - 9

NEXT - Addition

15 + 10 = 25

LAST - Subtraction

25 - 9 = 16

3² + 4²

• 14

• 49

• 74

• 25

Answer explanation

PEMDAS

No Parentheses so

FIRST - EXPONENTS

3² = 3 x 3 = 9

4² = 4 x 4 = 16

LAST - Addition

9 + 16 = 25