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When Does Swapping Numbers Change an Expression?

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Arithmetic Expressions · Swapping and grouping terms · 3:14

You'll learn: Swapping numbers inside a subtraction or division changes the value; swapping whole signed terms does not.

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When Does Swapping Numbers Change an Expression?

3:14

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When Does Swapping Numbers Change an Expression?

You'll learn: Swapping numbers inside a subtraction or division changes the value; swapping whole signed terms does not.

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Same topic

Swapping and grouping terms

1

Reorder Signed Terms Without Changing Their Value
3:29
Reorder Signed Terms Without Changing Their Value
You'll learn: Signed terms can be added in any order and grouping without changing the value.

Next topic

Removing brackets and compensating changes

2

Remove Brackets Without Losing the Signs
3:21
Remove Brackets Without Losing the Signs
You'll learn: A minus sign before a bracket flips the sign of every term inside when the bracket is removed.
Subtract 9 by Subtracting 10 and Adding 1
3:26
Subtract 9 by Subtracting 10 and Adding 1
You'll learn: Changing one term changes the total by the same amount, so subtract 10 and add 1 to subtract 9.

Next topic

Distribution and expression transformations

3

Why Can Multiplication Spread Across a Sum or Difference?
3:22
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.
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

8

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