Addition and subtraction

Understanding Addition and subtraction

Complete explanation with examples

Addition and subtraction in the order of operations

Addition and subtraction are the third and final stage in the order of operations, immediately after multiplication and division and after opening the initial parentheses.

The first stage:

Opening parentheses and solving everything inside them.
If multiplication and division appear along with addition and subtraction, multiplication and division come first, followed by addition and subtraction from left to right.
Then we rewrite the expression without parentheses.

The second stage:

Multiplication and division in order, from left to right.
We will rewrite the new exercise after solving the multiplication and division.

The Third Stage:

Addition and subtraction in order.
We add and subtract from left to right.
Note - even within parentheses we will follow the correct order of operations - first multiplication and division, then addition and subtraction.

Visual breakdown of BODMAS/PEMDAS rules for solving mathematical expressions: Brackets/Parentheses, Order/Exponents, Division/Multiplication, and Addition/Subtraction, designed for simplifying complex arithmetic operations.

Detailed explanation

Practice Addition and subtraction

Test your knowledge with 15 quizzes

$$10 - 3 - 1 = $$

Examples with solutions for Addition and subtraction

Step-by-step solutions included

Exercise #1

$9+3-1=$

Step-by-Step Solution

According to the rules of the order of arithmetic operations, we will work to solve the exercise from left to right:

9+3=11

11-1=10

And this is the solution!

Answer:

$11$

Video Solution

Exercise #2

$3+2-1=$

Step-by-Step Solution

According to the rules of the order of operations, given that the exercise only involves subtraction and addition operations, we solve the exercise from left to right:

$3+2=5$

$5-1=4$

Answer:

$4$

Video Solution

Exercise #3

$6+5-8=\text{ ?}$

Step-by-Step Solution

Add first: $6 + 5 = 11$ .

Then, subtract: $11 - 8 = 3$ .

The correct answer is $3$ .

Answer:

$3$

Video Solution

Exercise #4

$5+9-3=\text{ ?}$

Step-by-Step Solution

First, add 5 and 9 to get 14.

$5 + 9 = 14$

Then, subtract 3 from 14 to get 11.

$14 - 3 = 11$

Answer:

$11$

Video Solution

Exercise #5

$7+5-2=\text{ ?}$

Step-by-Step Solution

First, add 7 and 5 to get 12.

$7 + 5 = 12$

Then, subtract 2 from 12 to get 10.

$12 - 2 = 10$

Answer:

$10$

Video Solution

Continue Your Math Journey

Master Addition and subtraction first, then advance to these related topics that build on your fraction skills

Topics Learned in Later Sections

Multiplication and Division Parentheses

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Addition and subtraction - Examples, Exercises and Solutions

Understanding Addition and subtraction