Student Tutorial: Order of Operations with Rational Numbers

Instructions:

Learn about order of operations with rational numbers. Watch the video and study the examples.

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Math Clip Art: Student Tutorial Title Page

Order of Operations

When simplifying numerical expressions follow the order of operations.

Perform operations from left to right in this order: Parentheses,  Exponents, Multiplication, Division, Addition, Subtraction.

Perform multiplication and division first, then addition.

Perform multiplication and division first, then addition and subtraction.

Simplify terms in parentheses first, then add.

Simplify terms with exponents first. Then multiply. Then add and subtract.

Simplify terms in parentheses first. Within parentheses multiply and divide first. Then add.

The acronym PEMDAS summarizes the order of operations.

The acronym PEMDAS summarizes the order of operations.

When using PEMDAS, avoid this misconception.

Misconception 1: Do all multiplication before division.

Misconception 2: Do all addition before subtraction.

In going from left to right, addition and subtraction have equal importance.

Math Example--Numerical Expressions--Order of Operations--Example 01

Math Example--Numerical Expressions--Order of Operations--Example 02

Math Example--Numerical Expressions--Order of Operations--Example 03

Math Example--Numerical Expressions--Order of Operations--Example 04

Math Example--Numerical Expressions--Order of Operations--Example 05

Math Example--Numerical Expressions--Order of Operations--Example 06

Math Example--Numerical Expressions--Order of Operations--Example 07

Math Example--Numerical Expressions--Order of Operations--Example 08

Math Example--Numerical Expressions--Order of Operations--Example 09

Math Example--Numerical Expressions--Order of Operations--Example 10

Math Example--Numerical Expressions--Order of Operations--Example 11

Math Example--Numerical Expressions--Order of Operations--Example 12

Math Example--Numerical Expressions--Order of Operations--Example 13

Math Example--Numerical Expressions--Order of Operations--Example 14