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How to solve rational numbers in fraction form

Demonstrate understanding of powers with integral bases and whole number exponents

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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

Demonstrate understanding of operations on powers with integral bases and whole number exponents

Scientific notation

Demonstrate understanding of 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

Explain and apply order of operations including exponents with and without technology

Order of operations (PEMDAS)

Identify the Order of Operations

Order of Operations — Word Problem

Demonstrate understanding of perfect square and square root concretely pictorially and symbolically

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Determine square root of positive rational numbers that are perfect squares

Determine square roots of rational numbers

Square roots of rational numbers

Generalize pattern arising from problem-solving context using linear equations and verify by substitution

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

Influencing factors in data collection

Data collection

Probability

Model and solve problems using linear equations of various forms

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

Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients

Compound inequalities

Analyze the Alternate Form of Compound Inequalities: AND

Compound linear inequalities

Evaluate Compound Inequalities: And

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

Demonstrate understanding of polynomials limited to degree less than or equal to 2

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Model record and explain operations of multiplication and division of polynomial expressions by monomials

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

Develop and apply Pythagorean theorem to solve problems

Angles in a circle

Chord properties

Tangent properties

Pythagorean theorem

Pythagorean Theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Determine surface area of composite 3D objects to solve problems

Line symmetry

Rotational symmetry and transformations

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

Demonstrate understanding of similarity of triangles

Similar triangles

Similar polygons

Draw and interpret scale diagrams of 2D shapes

Enlargements and reductions with scale factors

Scale diagrams

Grade 9

Number

Patterns and Relations

Shape and Space

math

- Hi. Welcome to this question right here. So we have a negative two over three. Let me just re-write that question down right here. Subtract a negative five over six. Before we take it to the next step, I want you to see that there's a negative and a negative, so it means positive, okay? So let's just re-write that down here and make it into a positive. Makes the question look a little bit simpler. Then, you know you're dealing with fractions, right? You've got a numerator and a denominator. So, if you're going to put them together it has to have a common denominator. So what's a common denominator between the three and six? 
It has to be the lowest one, right? So I'm just going to bring the work over here. I'm going to re-try it one more time. My common denominator is going to be six for both of them. The three over here, times by two, to the top and bottom. So the work for here is this. I need to times this number by a two, times that number by a two up top. So what I got is this. If that three times two is six, then the two times two is negative four, because there's a negative in front of that. So two times two is four. There's also a negative. The five and six kind of stays the same because, technically, you times this by one, you times that by one. So what happened is, you get yourself still the five from before, so that part stays the same. Your final answer to this question turns out to be, again, keep denominator the same, don't change your denominated. But you would take the negative four, add a five, and that leaves you just a one. So there is your final answer, which is one over six. Thanks for watching.

- Hi, welcome to this question right here. So what we have here is the division now. So okay, there's s trick to that. So first of all before we do anything. It's still the original method. We should change to improper fractions. Okay? Excuse me. So what we have here is this. We go ourselves-- Let me just rewrite the question here, down here with the division sign and here's the negative two and the one third, right? So let's change everything to improper fractions, okay? So it looks nicer. So three times one, and so remember through the room. Let me show you a little bit of work. So the work is simple. Let me choose a color pen right here. So three times the one, and plus the one on the top. So okay. This is multiplication, this is addition. Three times one is three, plus one is four. So this is actually negative four over three. Right there. Divided by the same thing right here. Three times two, and you add a one to that. So three times two is six, plus one is seven. Negative seven over three. Okay? 
When you're doing the multiplying and adding this part right here, don't worry about the negative sign. Just bring it down, all right? So we have a negative four over three, divided by negative seven over three, okay? There's two things that we needed to clear before we do anything. First of all, negative and the negative number, if you're dividing or multiplying it doesn't matter which one you're going to do, it becomes positive okay? So you don't have to worry about the negative sign anymore. So if you want, I can actually rewrite it, everything is the same except that the negative signs are gone. Okay, because negative, negative becomes positive whenever you do multiplying or dividing. Then you still have the negative-- the division sign, right? Here's a little trick for us. So four over three divided by seven over three. What happens is, if I just going to bring the work up here, and let's change the color pen so it looks better. Four over three, keep the first part the same, but we can actually change it into multiplying. How do we do that? 
Simply flip the seven with the three. Okay? Flip these two. So we&apos;ve got three over seven. Makes sense so far. So guess what happen, what we have. Well, a little bit of simplifying before we go to the next step. Three and three are cancelled, becomes one and one. So you're just down to four over seven, and four over seven is your final answer, okay? So be careful in the last step right there. Flip it over, do the little simplification and you should get your last answer no problem at all. Thanks for watching.

Similar to the previous section, we will practice adding, subtracting, multiplying, and dividing rational numbers. Rational numbers can be expressed in two forms: fraction form and decimal form. This time, we will deal with rational numbers in fraction form.

Multiplying fractions and whole numbers

Dividing fractions with whole numbers

Multiplying proper fractions

Multiplying improper fractions and mixed numbers