# Basic Math – Order of Operation Practice & Tutorial

- Posted by Brian Stocker MA
- Date November 27, 2014
- Comments 10 comments

### Order of Operation – Rules, Examples and Practice Questions

The order of operation rules are:

**Rule 1:** Start with calculations inside brackets or parentheses.

**Rule 2:** Then, solve multiplications and division, from left to right.

**Rule 3:** Finally, additions and subtraction, from left to right.

** Example 1**

Solve 16 + 5 x 8

Based on the rules above, start with multiplication.

This gives: 16 + 40 = 56

Note that if the rule was not followed, and addition was done first, the answer would be different and incorrect, as in,

16 + 5 x 8

21 x 8 = 168 (wrong answer)

**Example 2**

3 +(35 – 21) x 2

Solve the problem inside the brackets first. Then multiplication, and finally addition.

3 + (35 – 21) x 2

3 + (14) x 2

3 + 28

= 31

**Order Of Operation Practice Questions**

**1. 7 + 2 x (6 + 3) ÷ 3 – 7 **

a. 6

b. 5

c. 7

d. 4

**2. 11 + 19 x 2**

a. 60

b. 50

c. 49

d. 54

**3. (14 + 2) x 2 + 3**

a. 21

b. 35

c. 80

d. 43

**4. 120 ÷ (6 + 12 x 2)**

a. 150

b. 40

c. 6

d. 4

**5. 12 + 2 x 44**

a. 100

b. 616

c. 110

d. 600

**6. 10 x 2 – (7 + 9)**

a. 21

b. 16

c. 4

d. 13

### Answer Key

1. A

2. C

3. B

4. D

5. A

6. C

### More – Order of Operation Practice and Tutorials

**Written by**, Brian Stocker MA., Complete Test Preparation Inc.

**Date Published:**Thursday, November 27th, 2014

**Date Modified:**Tuesday, March 15th, 2022

## 10 Comments

BIMDAS rule. Easy to remember.

I think it is PIMDAS – Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. … The original order of operations in some countries was BODMAS, which stands for Brackets, Orders or Powers, Division, Multiplication, Addition, Subtraction.

Thank you!

BEDMAS=brackets, exponents, division, multiplication, addition then subtracting

PEMDAS:

Please (Parentheses)

Excuse (Exponents)

My (Mult.)

Dear (Div.)

Aunt (Addition)

Sally (Subtraction)

Very Good!

Thanks for sharing this!

I am useless with mathematics but need to practice before I start a nursing degree. Thanks for explaining how to do these kind of sums, helped me a lot.

GEMS

Groupings

Exponents/Square Roots

Multiplication/Division

Subtraction/Addition

Each one you do you also have to do the opposite item at the same time.

BODMAS…….. bracket off division multiplication addition and subtraction