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Make the Largest and Smallest Numbers with Fixed Toothpicks

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Large Numbers Around Us · Toothpick-digit exploration · 3:10

You'll learn: Moving a fixed number of toothpicks changes digits; plan moves to make the largest and smallest numbers.

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Make the Largest and Smallest Numbers with Fixed Toothpicks

3:10

Playing

Make the Largest and Smallest Numbers with Fixed Toothpicks

You'll learn: Moving a fixed number of toothpicks changes digits; plan moves to make the largest and smallest numbers.

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Next topic

Expressions and their values

2

Turn a Calculation Story into an Arithmetic Expression
3:28
Turn a Calculation Story into an Arithmetic Expression
You'll learn: Write a story's calculation as an arithmetic expression and read what each operation means.
Find the Value of an Arithmetic Expression
3:11
Find the Value of an Arithmetic Expression
You'll learn: Evaluate an expression term by term to find its value.

Next topic

Comparing expressions through reasoning

2

Compare Two Expressions Without Calculating Everything
3:16
Compare Two Expressions Without Calculating Everything
You'll learn: Compare two expressions by tracking how their parts differ, without calculating everything.
Change an Expression While Keeping Its Value
3:17
Change an Expression While Keeping Its Value
You'll learn: Change parts of an expression in balancing ways so its value stays the same.

Next topic

Brackets and meaning

2

How Do Brackets Change a Calculation's Meaning?
3:09
How Do Brackets Change a Calculation's Meaning?
You'll learn: Brackets group quantities, so the same numbers with different brackets can mean different calculations.
Evaluate a Bracketed Expression One Group at a Time
3:15
Evaluate a Bracketed Expression One Group at a Time
You'll learn: Evaluate the bracketed groups first, then combine the results.

Next topic

Identifying terms

2

Rewrite Subtraction as Addition of an Opposite
3:25
Rewrite Subtraction as Addition of an Opposite
You'll learn: Subtracting a number is the same as adding its opposite, which turns expressions into sums of terms.
Identify Whole Terms Before Evaluating an Expression
3:28
Identify Whole Terms Before Evaluating an Expression
You'll learn: Products and quotients form single terms; identify the terms first, then add them.

Next topic

Swapping and grouping terms

2

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.
When Does Swapping Numbers Change an Expression?
3:14
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.

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.