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.

Practice Addition and subtraction

Examples with solutions for Addition and subtraction

Exercise #1

Solve:

10+53 = 10+5-3\text{ }=

Video Solution

Step-by-Step Solution

To solve 10+53 10+5-3 follow these steps:

1. 10+5=15 10 + 5 = 15

2. 153=12 15 - 3 = 12

So the answer is 12 12 .

Answer

12

Exercise #2

Solve:

15+86 = 15+8-6\text{ }=

Video Solution

Step-by-Step Solution

To solve 15+86 15+8-6 follow these steps:

1. 15+8=23 15 + 8 = 23 .

2. 236=17 23 - 6 = 17 .

So the answer is 17 17 .

Answer

17

Exercise #3

Solve:

8+64 = 8+6-4\text{ }=

Video Solution

Step-by-Step Solution

To solve 8+64 8+6-4 follow these steps:

1. 8+6=14 8 + 6 = 14

2. 144=10 14 - 4 = 10

So the answer is 10 10 .

Answer

10

Exercise #4

Solve the following equation:

12+75 = 12+7-5\text{ }=

Video Solution

Step-by-Step Solution

To solve the expression 12+7512 + 7 - 5, follow these steps:

  1. Add the first two numbers: 12+7=1912 + 7 = 19.
  2. Subtract the third number: 195=1419 - 5 = 14.
Therefore, the final answer is 1414.

Answer

14

Exercise #5

10+17= ? 10+1-7=\text{ ?}

Video Solution

Step-by-Step Solution

Start by adding: 10+1=11 10 + 1 = 11 .

Finally, subtract: 117=4 11 - 7 = 4 .

The solution is 4 4 .

Answer

4 4

Exercise #6

1031=10 - 3 - 1 =

Video Solution

Step-by-Step Solution

Start with the initial expression: 103110 - 3 - 1.

First, subtract 3 from 10: 103=710 - 3 = 7.

Next, subtract 1 from the result: 71=67 - 1 = 6.

Therefore, the final answer is 66.

Answer

6 6

Exercise #7

1252=12 - 5 - 2 =

Video Solution

Step-by-Step Solution

First, subtract the second number from the first:

125=712 - 5 = 7

Then, subtract the third number from the result:

72=57 - 2 = 5

So, 1252=512 - 5 - 2 = 5

Answer

5 5

Exercise #8

1543=15 - 4 - 3 =

Video Solution

Step-by-Step Solution

To solve 154315 - 4 - 3, follow these steps:

  1. First, subtract 4 from 15: 154=1115 - 4 = 11.

  2. Next, subtract 3 from the result: 113=811 - 3 = 8.

  3. Therefore, the correct answer is 8 8 .

Answer

8 8

Exercise #9

154+3= ? 15-4+3=\text{ ?}

Video Solution

Step-by-Step Solution

First, subtract 4 from 15 to get 11.

154=1115 - 4 = 11

Then, add 3 to 11 to get 14.

11+3=1411 + 3 = 14

Answer

14 14

Exercise #10

3+21= 3+2-1=

Video Solution

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 3+2=5

51=4 5-1=4

Answer

4 4

Exercise #11

4+7+6=4 + 7 + 6 =

Video Solution

Step-by-Step Solution

To solve this question, we will add the numbers step by step:

4+7=114 + 7 = 11

Now, add the result to the next number in the sequence:

11+6=1711 + 6 = 17

Therefore, the answer is 1717.

Answer

17 17

Exercise #12

4+85= 4 + 8 - 5 =

Video Solution

Step-by-Step Solution

Perform the addition operation first:

4+8=12 4 + 8 = 12

Then subtract 5 from the result:

125=7 12 - 5 = 7

Therefore, the correct answer is:

7

Answer

7

Exercise #13

5+3+2= ? 5+3+2=\text{ ?}

Video Solution

Step-by-Step Solution

To solve 5+3+25 + 3 + 2, you follow these steps:

First, add the first two numbers: 5+3=85 + 3 = 8.

Then, add the result to the last number: 8+2=108 + 2 = 10.

Therefore, the final result is 1010.

Answer

1010

Exercise #14

5+93= ? 5+9-3=\text{ ?}

Video Solution

Step-by-Step Solution

First, add 5 and 9 to get 14.

5+9=145 + 9 = 14

Then, subtract 3 from 14 to get 11.

143=1114 - 3 = 11

Answer

1111

Exercise #15

63+8= ? 6-3+8=\text{ ?}

Video Solution

Step-by-Step Solution

To solve the expression 63+86 - 3 + 8, first perform the subtraction and then the addition:

  1. Subtract the first two numbers: 63=36 - 3 = 3
  2. Add the result to the third number: 3+8=113 + 8 = 11

Thus, the answer is 1111.

Answer

1111

Topics learned in later sections

  1. Multiplication and Division
  2. Parentheses