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Master Order of Operations with Exponents: PEMDAS Guide

Grade 9 Math: Master Core Concepts & Problem Solving

Develop number sense

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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

Determine square roots of rational numbers

Square roots of rational numbers

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Use patterns to describe the world and solve problems

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

Represent algebraic expressions in multiple ways

Compound inequalities

Analyze the Alternate Form of Compound Inequalities: AND

Compound linear inequalities

Evaluate Compound Inequalities: And

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

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

Express linear inequalities graphically and algebraically

Graph the Inequality

Linear Inequalities – Word Problem 

Linear inequalities

Solving one-step linear inequalities

One-step Linear Inequalities

One-step linear inequalities

One-step Linear Inequalities Decimal

One-step Linear Inequalities Decimal with Fraction

One-step Linear Inequalities Fraction

Solve One Step Linear Inequalities Find Solution– Word Problem

One-step Linear Inequalities — Word Problem

Solving multi-step linear inequalities

Multi-step Linear Inequalities

Two-step Linear Inequalities

Multi-step linear inequalities

Two-step linear inequalities

Solve Multi-step Linear Inequalities – Word Problem 

Solve Multi Step Linear Inequalities Solve Equation – Word Problem

Solve Multi Step Linear Inequalities Equation – Word Problem

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division: x/a + b = c

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

Solve Linear Equations Using Distributive Property – Word Problem

Solving literal equations

Use direct and indirect measurement to solve problems

Angles in a circle

Chord properties

Tangent properties

Pythagorean theorem

Pythagorean Theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them

Surface area of 3-dimensional shapes

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Introduction to surface area of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Describe and analyze position and motion of objects and shapes

Line symmetry

Rotational symmetry and transformations

Collect, display and analyze data to solve problems

Influencing factors in data collection

Data collection

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Use experimental or theoretical probabilities to represent and solve problems involving uncertainty

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability with Venn diagrams

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?

Order of operations (PEMDAS)