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Master Order of Operations with Exponents: PEMDAS Guide

PAT: Master Provincial Achievement Test Skills

Operations with Decimals

test

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 (BEDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Square Roots

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Rational Numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Powers and Exponents

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

Introduction to Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Linear Relations

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

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

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

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

Solving linear equations with variables on both sides

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

Introduction to Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

What is a polynomial?

Classifying Polynomials

Polynomial components

Operations with 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

Circle Geometry

Angles in a circle

Chord properties 

Tangent properties

Surface Area of 3D Objects

Surface area of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Symmtery

Line symmetry

Rotational symmetry and transformations

Influencing factors in data collection

Data collection

Probability

Provincial Achievement Test

sample

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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)