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Master Order of Operations with Exponents: PEMDAS Guide

Grade 9 Math: Master Core Concepts & Problem Solving

Operations with rational numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Adding and subtracting decimals

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimals

Multiplying Decimals

Dividing decimals

Dividing Decimals

Order of operations (PEMDAS)

Identify the Order of Operations

Order of Operations — Word Problem

Divisibility rules

Divisibility

Determining common factors

Common Factors — Word problem: bouquet

Common Factors — Word problem: party

Common Factors

Factors

Determining common multiples

Common Multiples — Word problem: meals

Common Multiples — Word problem: watches

Multiples

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Introduction to exponents

Expanded powers

Exponents — Express as a power of 10

Exponents — Word problem: express as a power

Exponents — Express as a power of two — Whole number

Place value

Comparing and ordering numbers

Comparing Integers

Comparing Numbers

Comparing Fractions

Rounding numbers

Rounding Decimals

Rounding Integers — Up to 9999

Exponents and exponent laws with whole-number exponents

Using exponents to describe numbers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Operations with polynomials of degree less than or equal to 2

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplying and dividing monomials

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Two-variable linear relations using graphing, interpolation, and extrapolation

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Multi-step one-variable linear equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Spatial proportional reasoning

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Statistics in society

Frequency tables and dot plots

Analyze the Frequency Table

Influencing factors in data collection

Data collection

Probability

Advantages and disadvantages of different graphs

Reading and drawing bar graphs

read and draw bar graphs

Reading Bar Graphs

Reading and drawing histograms

Reading and drawing line graphs

Reading Line Graphs

Box-and-whisker plots and scatter plots

Reading and drawing Venn diagrams

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

Financial literacy - simple budgets and transactions

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

We&apos;ve got you covered with our complete help for Grade 9 math, whether it&apos;s for <a href="http://www.eqao.com/en/assessments/grade-9-math">EQAO</a> (Ontario), grade 9 math <a href="https://education.alberta.ca/provincial-achievement-tests/about-the-pats/">PAT</a> (Alberta), grade 9 math <a href="http://www.ed.gov.nl.ca/edu/k12/evaluation/crts/intermediate/">Provincial Assessment</a> (Newfoundland) or <a href="http://www.gov.pe.ca/eecd/index.php3?number=1027081&lang=E">IMA</a> (PEI).

Aligned with your class or textbook, you will get grade 9 math help on topics like Circle geometry, Linear equations, Dividing polynomials, Exponents, Surface area, Rational numbers, and so many more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 9 math questions. Then, strengthen your understanding with tons of grade 9 math practice. 

All our lessons are taught by experienced Grade 9 math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Grade 9

math

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade9math.png

Intro

Ex. 1:

Ex. 2:

Ex. 3:

- Hi. Welcome to this question here. We're trying to calculate this whole thing. Seems a lot to do, right? So remember the order of operation says BEDMAS. Okay? So as you go through the question... Oh, it just disappeared on me. Make sure you check. Do you have the bracket? Do you have the exponent? Do you have division and stuff like that? So I just want to look across. I see there's a bracket, so let's tackle the bracket first. So I'm going to copy down the question. 30... Keep everything the same. Now, inside the bracket there's a couple of things that you need to figure out. I got a 6 to the power of 3 minus 2 to the power of 3. Now, don't be tempted to add exponents or subtract exponents. You have to double check. Well, first of all, the base is different between these two guys and it's subtracting, so you can't really do any shortcut actually. So use your calculator. Figure out what's 6 to the power of 3? 6 to the power of 3 is 216, so let's put there 216. So this is my first step. I'm going to change a little bit of color. And subtract 2 to the power of 3. 2 to the power of 3 is 8, so there's your 8 right there. So after my first step, I got myself this bracket right here. 216, subtract 8, I got 208 right there. Okay? 
Now I'm just going to copy down all the work that I have from the beginning. Okay? 
Then I go to my second step. So after I've done the bracket... So bracket is checked. I did everything with exponent yet? No. I haven't done this part yet, so I'm going to do it right now. I got 30 in the front. Subtract 5 to the power of 2, which is 25. Now, you have to bring down the sign. Okay? The sign in front of the 5 does not belong to the 5 yet because there's an exponent before that. So 5 has to be raised to the power of 2, which is 25. And you just have to bring down the symbol in front of that, which is still negative. Okay? So this 5 to the power of 2 here doesn't change into a positive 25 here. So just bring down the sign. See? The way I do it is I bring down the signs and there's your 208 still. Okay? There's my 208. So the very last step. Once everything is done, there's no more multiplying, no more division, everything is done, it's just addition and subtraction. Now, as you can see, there's a minus and a plus. So who comes first? 
The rule is start from left to right. Okay? So you just use your calculator and go 30 minus 25 plus the 208. You get yourself 213 as your final answer. Okay? 
And that's it for this question. Thanks for watching.

When you are solving questions with exponents, you must keep in mind that order of operation (BEDMAS/PEDMAS) still applies. In this lesson, we will get you familiar with how BEDMAS/PEDMAS works with exponents.  

What is the order of operations with exponents?