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Comparing and ordering rational numbers

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 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. We're trying to compare these five numbers right here and write them out in a descending order. That means from the largest number to the smallest number, okay? So the best way to compare between the numbers is that they're in the same format. We've got fractions. We've got decimals. So I would suggest that we change everything to decimals because it's easier to see, right? So if I should go one over six on the first one, what we have on the first one is actually a negative. Here's my negative, we've got a 
- 0.17. Okay, - 0.17 And the next one that we have is negative, that looks like a -1.75 Again, if you punch in the calculator, punch in three over four you get .75 and just add a one to that. And the next one that we have is one and then five over seven. We have a .71 so it's 1.71 and it's positive. The next one we have is 
- 0.2, it's already ready to go. And the last one is 2.1 okay? 
And looking at the numbers right here, again we're trying to go down the descending order, so pick the biggest one first. So looking across, of course, gonna pick the positive to be the biggest, it's two point one comes first. So we've got 2.1 greater than the one point seven one. Because these two are the only positive numbers we have. Two point one is greater than 1.71. After you're done, then let's keep going down to the negative side, but be careful. The number that's closer to the zero is bigger. So, if you're looking at the 
- .2 , then -1.75, and then -0.17 the largest number between these three is actually the 0.17 because it's closer to the zero. So the next one would be -0.17 greater than -0.2, and the smallest number that we have from these five numbers is the -1.75 And these is your descending order of these five numbers right here. Okay? 
Thanks for watching.

A rational number is a number that can be written as a fraction. In order to be called a rational number, the numerator and <a href='[[glossary.html|{"keyword":"Denominator","term":"Denominator"}]]'>denominators</a> of the fraction must be <a href="[[glossary.html|{"keyword":"Whole Numbers"}]]">whole numbers</a>. In this lesson, we will compare different rational numbers and sort out their order.

Comparing and ordering numbers

Percents, fractions, and decimals