Order of Operations

The Order of Operations

Step 1:

Step 2:

Step 3:

Step 4:

Perform any calculations inside parentheses, brackets, or absolute value symbols.

Simplify expressions involving exponents from left to right.

Multiply and divide in order from left to right.

Add and subtract in order from left to right.

Find the value.

Step 1: Find the value of (2 + 5).

Step 2: Find the value of 23.

Step 3: Find the values of 3 × 7 and 8 ÷ 4.

Step 4: Find the value of 21 + 8.

Step 5: Find the value of 29 – 2. 27

29 – 2

21 + 8 – 2

3 × 7 + 8 – 8 ÷ 4

3 × 7 + 23 – 8 ÷ 4

3 × (2 + 5) + 23 – 8 ÷ 4

Find the value.

Step 1: Find the value of (8 – 6) and |–2|.

Step 2: Find the value of 22.

Step 3: Find the value of 4(4).

Step 4: Find the value of 16 + 2. 18

16 + 2

4(4) + 2

4(2)2 + 2

4(8 – 6)2 + |–2|

Work within parentheses and absolute value symbols first.

Find the value.

(2 + 5)(8 – 5)

Use the order of operations to simplify the numerator and the denominator before simplifying the fraction.

3(7 – 1) + 6

Step 1: Find the value of (2 + 5), (8 – 5), and (7 – 1).

Step 2: Find the values of (7)(3) and 3(6).

Step 3: Find the value of 18 + 6.

Simplify.

21

(7)(3)

18 + 6

3(6) + 6

21

24

7

8

Find the value.

Work in the innermost grouping symbols of the first set of grouping symbols. Once that expression is simplified, move on to simplifying expressions in other sets of grouping symbols.

Step 1: Find the value of (2 + 5).

Step 2: Find the value of 23.

Step 3: Find the value of 3(7).

Step 6: Find the value of 20 ÷ 4. 5

[21 + 8 – 9] ÷ |–2 – 2|

[3(7) + 8 – 9] ÷ |–2 – 2|

[3(7) + 23 – 9] ÷ |–2 – 2|

[3(2 + 5) + 23 – 9] ÷ |–2 – 2|

Step 4: Find the value of 21 + 8. [29 – 9] ÷ |–2 – 2|

Step 5: Find the value of 29 – 9 and |–2 – 2|. 20 ÷ 4

Copyright © 2009 StudyIsland.comAll rights reserved.