An Intro to Order of Operations | Math with Mr. J

Summary

This video provides an introduction to the order of operations, a set of rules for solving math problems with multiple operations. It explains the PEMDAS acronym (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) and demonstrates its application through four examples.

Highlights

Introduction to Order of Operations (PEMDAS)00:00:05

The video introduces the order of operations as a set of rules used to solve problems with multiple calculations correctly. It highlights the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Example 1: Multiplication and Addition00:02:04

The first example demonstrates the order of operations without parentheses or exponents. It starts with multiplication (3 * 6 = 18) and then proceeds to addition (8 + 18 = 26), following the PEMDAS rules.

Example 2: Parentheses and Division00:03:26

The second example emphasizes solving operations within parentheses first (11 - 5 = 6). After resolving the parentheses, the problem simplifies to division (18 / 6 = 3).

Example 3: Parentheses, Multiplication, and Subtraction00:04:08

The third example involves parentheses, multiplication, and subtraction. It begins by solving the parentheses (13 + 8 = 21), then performs multiplication (7 * 4 = 28), and finally completes the subtraction (28 - 21 = 7).

Example 4: Exponents, Subtraction, and Addition (Left to Right Rule)00:05:12

The final example features an exponent (4^2 = 16), followed by subtraction and addition. This example illustrates the crucial rule for operations on the same level (multiplication/division, or addition/subtraction): solve from left to right. Thus, 16 - 6 is done first (10), then 10 + 23 equals 33.