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Why Can Multiplication Spread Across a Sum or Difference?

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Arithmetic Expressions · Distribution and expression transformations · 3:22

You'll learn: A number times a sum equals the sum of the separate products, shown with a grid of objects.

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Why Can Multiplication Spread Across a Sum or Difference?

3:22

Playing

Why Can Multiplication Spread Across a Sum or Difference?

You'll learn: A number times a sum equals the sum of the separate products, shown with a grid of objects.

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Same topic

Distribution and expression transformations

2

Use a Common Factor to Put Terms Back into Brackets
3:18
Use a Common Factor to Put Terms Back into Brackets
You'll learn: Take out a common factor to put terms back into brackets.
Adjust a Product Without Changing Its Value
3:15
Adjust a Product Without Changing Its Value
You'll learn: Multiply one factor and divide another by the same number to keep a product unchanged.

Next topic

Expression-building exploration

1

Build Different Expressions for the Same Target Number
3:15
Build Different Expressions for the Same Target Number
You'll learn: Build several different expressions that hit the same target using restricted numbers and operations.

Next topic

Arithmetic Expressions

12

What Is an Arithmetic Expression?
3:54
What Is an Arithmetic Expression?
You'll learn: What Is an Arithmetic Expression?
Different Expressions Can Have the Same Value
3:58
Different Expressions Can Have the Same Value
You'll learn: Different Expressions Can Have the Same Value
Comparing and Ordering Arithmetic Expressions
4:06
Comparing and Ordering Arithmetic Expressions
You'll learn: Comparing and Ordering Arithmetic Expressions
Comparing Sums Without Calculating Them Fully
3:49
Comparing Sums Without Calculating Them Fully
You'll learn: Comparing Sums Without Calculating Them Fully
Comparing Differences Without Calculating Them Fully
3:59
Comparing Differences Without Calculating Them Fully
You'll learn: Comparing Differences Without Calculating Them Fully
Completing Expressions to Make Both Sides Equal
3:50
Completing Expressions to Make Both Sides Equal
You'll learn: Completing Expressions to Make Both Sides Equal
Why the Order of Operations Matters: The Marble Story
3:56
Why the Order of Operations Matters: The Marble Story
You'll learn: Why the Order of Operations Matters: The Marble Story
Using Brackets to Show What Happens First
3:51
Using Brackets to Show What Happens First
You'll learn: Using Brackets to Show What Happens First
Finding Change: Why Brackets Matter in Subtraction
3:55
Finding Change: Why Brackets Matter in Subtraction
You'll learn: Finding Change: Why Brackets Matter in Subtraction
Identifying Terms and Keeping Their Signs
3:58
Identifying Terms and Keeping Their Signs
You'll learn: Identifying Terms and Keeping Their Signs
Why a Product or Quotient Can Be One Term
3:59
Why a Product or Quotient Can Be One Term
You'll learn: Why a Product or Quotient Can Be One Term
Swapping Terms: The Commutative Property of Addition
3:54
Swapping Terms: The Commutative Property of Addition
You'll learn: Swapping Terms: The Commutative Property of Addition