Parentheses Exponents Multiplication Division Addition Subtraction

Arithmetic operations are performed in the PEMDAS order shown above.

Any operations in parentheses (brackets) must be done first.

Then exponents (indices and powers).

Then multiplication and division is done.

The last operations are addition and subtraction.

3 × ( 4 + 5 )

= 3 × 9

= 27

= 3 × 9

= 27

( 15 – 9 ) ÷ 3

= 6 ÷ 3

= 2

= 6 ÷ 3

= 2

3 + 4 × 2

= 3 + 8

= 11

= 3 + 8

= 11

3 × 4 – 8 ÷ 2

= 12 – 4

= 8

= 12 – 4

= 8

Work these out using PEMDAS.

**Q1.** ( 3 + 4 ) × 2 – 4
**Q2.** 3 + 4 × 2 – 4
**Q3.** 8 × 2 + 6 × 3
**Q4.** 8 ÷ 2 + 6 ÷ 3
**Q5.** 2 - 3 × 4 + 4 × 5

**Answers**
**A1.** 10
**A2.** 7
**A3.** 34
**A4.** 6
**A5.** 10

Using three 3s and any order of operations such as +, -, ×, ÷ and ( ), complete number statements to equal 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.

Example: ( 3 + 3 ) ÷ 3 = 2