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Transform a Magic Square by Adding or Scaling Its Entries

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Number Play · Generalising magic squares · 3:08

You'll learn: Adding the same number to every entry, or multiplying every entry, keeps a magic square magic.

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Transform a Magic Square by Adding or Scaling Its Entries

3:08

Playing

Transform a Magic Square by Adding or Scaling Its Entries

You'll learn: Adding the same number to every entry, or multiplying every entry, keeps a magic square magic.

Now playing

Same topic

Generalising magic squares

2

Why Is a 3×3 Magic Square's Sum 3 Times Its Centre?
2:58
Why Is a 3×3 Magic Square's Sum 3 Times Its Centre?
You'll learn: One general magic-square relationship needs a labelled algebraic grid.
Build a Magic Square with Sum Zero Using Negative Numbers
3:16
Build a Magic Square with Sum Zero Using Negative Numbers
You'll learn: Use negative numbers to build a magic square whose rows, columns and diagonals all sum to zero.

Next topic

Fractions multiplied by whole numbers

1

Multiply a Fraction by a Whole Number Using Repeated Groups
4:01
Multiply a Fraction by a Whole Number Using Repeated Groups
You'll learn: A whole number times a fraction is repeated groups of that fraction.

Next topic

Working with Fractions

12

Multiplying a Fraction by a Whole Number: Repeated Equal Quantities
4:01
Multiplying a Fraction by a Whole Number: Repeated Equal Quantities
You'll learn: Multiplying a Fraction by a Whole Number: Repeated Equal Quantities
Taking One-Fifth of a Whole-Number Quantity
4:01
Taking One-Fifth of a Whole-Number Quantity
You'll learn: Taking One-Fifth of a Whole-Number Quantity
Taking Two-Fifths: Divide First, Then Take the Required Parts
3:56
Taking Two-Fifths: Divide First, Then Take the Required Parts
You'll learn: Taking Two-Fifths: Divide First, Then Take the Required Parts
Multiplication with Mixed Fractions in Sharing and Cost Problems
4:02
Multiplication with Mixed Fractions in Sharing and Cost Problems
You'll learn: Multiplication with Mixed Fractions in Sharing and Cost Problems
Fraction Applications: Daily Milk, Canal Work and Shared Oil
3:59
Fraction Applications: Daily Milk, Canal Work and Shared Oil
You'll learn: Fraction Applications: Daily Milk, Canal Work and Shared Oil
Fractional Time Changes and Whole-Number Product Practice
4:11
Fractional Time Changes and Whole-Number Product Practice
You'll learn: Fractional Time Changes and Whole-Number Product Practice
What Is Half of a Quarter?
4:02
What Is Half of a Quarter?
You'll learn: What Is Half of a Quarter?
Finding Three-Quarters of Two-Fifths
3:59
Finding Three-Quarters of Two-Fifths
You'll learn: Finding Three-Quarters of Two-Fifths
Multiplying Fractions Greater Than One with a Visual Model
4:03
Multiplying Fractions Greater Than One with a Visual Model
You'll learn: Multiplying Fractions Greater Than One with a Visual Model
Why Fraction Multiplication Gives the Area of a Rectangle
3:54
Why Fraction Multiplication Gives the Area of a Rectangle
You'll learn: Why Fraction Multiplication Gives the Area of a Rectangle
Multiplying Unit Fractions Through Rows and Columns
4:00
Multiplying Unit Fractions Through Rows and Columns
You'll learn: Multiplying Unit Fractions Through Rows and Columns
Unit-Square Practice with Non-Unit Fractions
3:57
Unit-Square Practice with Non-Unit Fractions
You'll learn: Unit-Square Practice with Non-Unit Fractions