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Math 14

12.08 Order of Operations

Number Operations

 
Learning Objectives:

The student will:

Some students like these rules:

Order of Operations
Please Excuse My Dear Aunt Sally
Parentheses Exponents Multiply or Divide Add or Subtract
(Innermost, first) (Powers or roots) (from LEFT-to-RIGHT) (from LEFT-to-RIGHT)
When you have more than one operation in a math problem, you must solve it following the correct ORDER OF OPERATIONS:
  • First, copy the problem EXACTLY.
  • Then go through each level of operations (Please Excuse My Dear Aunt Sally).
  • Do the operations within each level from left-to-right.
  • Write the answer directly below the operation sign.
  • Bring down the other numbers (be careful not to re-use any).
  • Continue until all operations are completed.

Source:  Order of Operations -- How to do It

Order of Operations

Just enter a math expression (with +, -, *, and / signs) then click .
Expression Result
  • Type in the expression you wish to crunch (evaluate) below in pure number form,
  • then click "Number Crunch."

Type the expression here

Hints when typing in math problems

  • The ^ symbol means exponent. So, for example, 5^2 means 52 and 3.2^2 means 3.22.
  • + means plus, - means minus, / means divide, * means multiply
  • In most cases, you don't need to type the *, Webmath automatically knows when to multiply
  • You may use grouping symbols, like ( and ), [ and ], or { and }.

Order of Operations Calulator #3

Steps may vary depending on the calculator used.

3-5x4

23 wpe102.jpg (782 bytes) wpeFF.jpg (788 bytes) 5 wpe105.jpg (792 bytes) 4 wpeFC.jpg (789 bytes) wpeFD.jpg (769 bytes)

wpe106.jpg (1230 bytes)

4x3-6÷2

 wpeFF.jpg (788 bytes)4 wpe105.jpg (792 bytes) 3wpeFC.jpg (789 bytes) wpe102.jpg (782 bytes) wpeFF.jpg (788 bytes) 6 wpe10D.jpg (796 bytes) 2 wpeFC.jpg (789 bytes) wpeFD.jpg (769 bytes)

wpe10E.jpg (1570 bytes)

52-3(5(2+4)+6)

 5 wpeF7.jpg (788 bytes) wpeF8.jpg (849 bytes) wpe101.jpg (782 bytes) 3wpeFF.jpg (788 bytes) 5 wpe100.jpg (788 bytes) 2 wpe103.jpg (796 bytes) 4wpeFB.jpg (789 bytes) wpe104.jpg (796 bytes) 6wpeFC.jpg (789 bytes) wpeFD.jpg (769 bytes)

wpeFE.jpg (1553 bytes)
Order of Operation Practice:

Amby's Math Resources - Integers: Exercises with Signed Numbers

Flashcards:   Order_Of_Operations

Flippogame

Order of Operations - A+Math

Order of Operations Pretest

Operations on the Real Numbers and Entering Formulas

Operation, sum, numerator, denominator, parentheses
Prerequisite Skills:

Multiplication of Decimals:  Math 14 Lesson 12.03

Division of Decimals:  Math 14 Lesson 12.04

Adding Decimals

Subtracting Decimals

Arithmetic Operations on Decimals and Integers

Adding Integers:  Math 14 Lesson 12.05

Subtracting Integers:  Math 14 Lesson 12.06

Multiplying and Dividing Integers:   Math 14 Lesson 12.07

Arithmetic Operations on Decimals and Integers