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Solve problems with rational numbers in decimal

EQAO Grade 9 Math: Master Core Concepts & Skills

Ratios, Rates, and Proportions

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Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Proportions

Proportions — Missing Denominator

Proportions — Missing Numerator

Proportions - Find the Missing Denominator LHS

Proportions - Find the Missing Denominator RHS

Proportions - Find the Missing Numerator LHS

Proportions - Find the Missing Numerator RHS

Square Roots

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Pythagorean Theorem

Introduction to pythagorean theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Rational Numbers

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

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

Proportional Relationships

Understanding graphs of proportional relationships

Linear relations

Using tables of values to graph proportional relationships

Linear relation

Applications of proportional relationships

Identifying proportional relationships

Linear Ralations

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

Introduction to Relations and Functions

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Linear Functions

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Midpoint formula: \(M = ( \frac{x_1+x_2}2  ,\frac{y_1+y_2}2)\)

Midpoint formula

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: \(y - y_1 = m (x - x_1)\)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Rate of change

Parallel and perpendicular lines in linear functions

Applications of linear relations

Introduction to Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplication and Division of 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

Introduction to 3-Dimensional Objects

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

Surface Area and Volume

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Circle Geometry

Angles in a circle

Chord properties 

Tangent properties

Data Management

Influencing factors in data collection

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Scatter plots and correlation

Census and bias

Census and Bias

Classifying Bias

Linear Programming

What is linear programming?

Finding Optimal Values Given Constraints In Slope-Intercept Form

Finding Optimal Values Given Constraints In Standard Form

Linear programming word problems

EQAO Grade 9 Principles of Math

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- Hi. Welcome to this question right here. So we&apos;ve got a question here that says 
"Estimate and Calculate." The estimating part is actually pretty, you don't have to think too much. Basically that's negative, this is negative, right? So when they're both negative and you're trying to add them together, you know what? Just treat them as positive and at the very end, just put a negative sign right beside the answer. So we&apos;ve got a 2.4 and 6.5. You can say the answer is around 8.9ish something, but let's actually go ahead and calculate this without using a calculator. Let's have 2.43 to start off and let's just have the 6.53 right here. Let's put a plus sign in front of that because we are adding. You might be saying that it's negative, here and here. What's that supposed to mean? A negative 2.43 plus a negative 6.53. Think of the negative as 
"you owe me money." If you owe me two dollars and 43 cents, then you owe me another six dollars and 53 cents, how much do you own me at the very end? You just add up the money together, right? So let's go ahead and add the money together right here. It's three and three so we get a six here, four and five get a nine right there, and you get a six and two is eight. At the very end, you just put a negative sign, okay? 
So, when you have a negative, negative, when you're adding integers together or numbers together, if you get a negative minus a negative, just add them together and put a negative sign in front of that. Another way to think about it: you owe me two dollars and 42 cents and then you owe me another six dollars and 53 cents. It's like a subtraction in a way, like you've lost that money, so you put them together and this is your final answer for this project. Thanks for watching.

- Hi, welcome to this question right here. So we&apos;ve got 2.5 x -6.4. So if we do write it out in a regular way we would've written it like this, right? Okay, now that's my multiplication right here, let's actually just bring it over to the side a little bit more. So 2.5 x 6.4 so what's our final answer? Well, before we calculate the final answer, I want you to know that your final answer will have to be a negative, okay? Why? Because the first number is positive the second number is negative, right? If you're doing multiplication or division, okay? If one's positive one's negative, doesn't matter which one is which, the answer is definitely a negative, okay? Then, let's see to what happen to the rest. So 2.5 x 6.4 will work out to be at 16. So your final answer is just -16. Okay? Thanks for watching.

In this lesson, we will learn how to work with rational numbers in decimal form. We will look at questions on adding, subtracting, multiplying, and dividing rational numbers.

Adding and subtracting decimals

Multiplying decimals

Dividing decimals 

Order of operations (PEMDAS)