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Solve problems with rational numbers in decimal

PAT: Master Provincial Achievement Test Skills

Operations with Decimals

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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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https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-ca-pat.png

- 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.

Adding two negative decimal numbers using a number line

Calculating the average rate of temperature change using long division

Subtracting a negative decimal: -0.37 minus (-4.61)

Subtracting a negative decimal from a positive decimal

Adding a positive and negative decimal using the difference method

Finding temperature change between negative and positive decimals

Dividing negative 4.75 by 1.9 using long division

- 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.

Multiplying a positive decimal by a negative decimal

Multiplying two negative decimals: (-3.3) × (-3.3)

Dividing two negative decimals: -8.6 ÷ -1.3 with rounding

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.

Order of operations (PEMDAS)

Solving problems with rational numbers in decimal form

What You'll Learn

Visualize operations with rational decimals using number lines

Apply addition and subtraction rules for positive and negative decimals

Multiply and divide rational numbers in decimal form accurately

Recognize patterns when combining like and unlike symbols in operations

Calculate change and average rate of change using decimal operations

What You'll Practice

Adding two negative decimal numbers

Subtracting positive and negative decimals

Multiplying decimals with mixed signs

Dividing decimals and converting to fractions

Solving real-world temperature change problems

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

10 Video lessons

Practice exercises

Skills

Rational Numbers

Decimals

Number Line

Signed Numbers

Multiplication

Division

Word Problems