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Master Decimal Multiplication: Techniques and Shortcuts

Grade 7 Math: Master Essential Skills & Concepts

N7.1

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Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Divisibility rules

Divisibility

Determining common factors

Common Factors — Word problem: bouquet

Common Factors — Word problem: party

Common Factors

Factors

Determining common multiples

Common Multiples — Word problem: meals

Common Multiples — Word problem: watches

Multiples

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Introduction to exponents

Expanded powers

Exponents — Express as a power of 10

Exponents — Word problem: express as a power

Exponents — Express as a power of two — Whole number

N7.2

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 (PEMDAS)

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

N7.3

Percents, fractions, and decimals

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Percents – Word Problem

Convert a Decimal to a Fraction

Convert a Decimal to a Percent

Convert a Fraction to a Decimal

Convert a Fraction to a Percent

Convert a Percent  to a Decimal

Convert a Percent to a Fraction

Percents Fractions And Decimals – Word Problem

Comparing and ordering numbers

Comparing Integers

Comparing Numbers

Comparing Fractions

Converting between decimals, fractions, and percents

N7.4

Representing percents

Representing Percents

Representing Percents — Word Problem

Representing Percents Two Graphs – Word Problem

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Applications of percents

Percent Discounts

N7.5

Using models to add and subtract fractions

Add Fractions With Models

Subtract Fractions With Models

Adding fractions with like denominators

Adding Fractions — with like denominators — 3-digit without simplifying

Adding Fractions — with like denominators — 3-digit

Adding Fractions — Word problem: baking

Add fractions with like denominator

Adding Fractions — with like denominators — 1-digit

Adding Fractions — with like denominators — 2-digit

Adding Fractions — Word problem: beads

Subtracting fractions with like denominators

Subtract fractions with like denominator

Subtracting Fractions — with like denominators — 2-digit

Subtracting Fractions — with like denominators — Larger 2-digit

Subtracting Fractions — with like denominators — 3 digit

Subtracting fractions — Word problem: competition

Subtracting fractions — Word problem: snack

Adding and subtracting fractions with unlike denominators

Adding and Subtracting Fractions — Find the lowest common denominator (LCD)

Adding and Subtracting Fractions — Find the LCD and evaluate

Add fractions with unlike denominator

Subtract fractions with unlike denominator

Adding and Subtracting Fractions — Word problem: cargo ship

Adding Fractions — with unlike denominators

Subtracting Fractions — with unlike denominators

Adding and subtracting mixed numbers

Adding Mixed Numbers — Word Problem

Subtracting Mixed Numbers — Word Problem

Add mixed fractions with like denominator

Add mixed fractions with unlike denominator

N7.6

Negative numbers and opposite numbers

Opposite Integers — Up to 10

Understanding Negative Numbers

Introduction to integer addition

Adding 1-digit integers

Adding integers

Adding 2-digit integers

Introduction to integer subtraction

Integer Subtraction — Missing Value

Subtracting 1-digit integers

Subtracting integers

Subtracting 2-digit integers

Application of integer operations

Application of Integer Operations – Word Problem

Application of Integer Operations  – Word Problem

P7.1

Patterns

Patterns — Word Problem

Evaluating algebraic expressions

Evaluating Algebraic Expressions

Graphing linear relations

Linear relation

Identifying proportional relationships

P7.2

Solving one - step equations:  x + a = b

1-step Equations

1-step Equations — Word Problem

P7.3

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

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

P7.4

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Applications of linear relationships

Solving two-step linear equations using multiplication and division: x/a + b = c

Two-step Linear Equations RHS

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

Solve Linear Equations Using Distributive Property – Word Problem

SP7.1

Median and mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

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Grade 7

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Multiplying Decimals: Mastering Techniques and Shortcuts

What You'll Learn

Multiply decimal numbers by ignoring decimal points and performing standard multiplication

Determine decimal placement by counting total digits after decimal points in both factors

Apply shortcuts for multiplying decimals by powers of 10 (10, 100, 1000)

Recognize that decimal points do not need to align when multiplying, unlike addition

Verify decimal multiplication results by checking place value positions

What You'll Practice

Multiplying decimals by whole numbers and placing the decimal correctly

Multiplying two decimal numbers using the digit-counting method

Multiplying decimals by 10, 100, and 1000 using decimal shift shortcuts

Solving word problems involving decimal multiplication and money

Multi-step problems combining decimal multiplication with division and rounding

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

7 Video lessons

Practice exercises

Learning resources

Skills

Decimal Multiplication

Place Value

Powers of 10

Long Multiplication

Word Problems

Money Math

Rounding