# What We Know About Multiplication

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## 1. Strategies

1.1.1. 4x2=8

1.1.1.1. 2+2+2+2=8

1.1.2. 6x5=30

1.1.2.1. 5+5+5+5+5+5=30

1.1.3. 2x10=20

1.1.3.1. 10+10=20

### 1.2. Skip Counting

1.2.1. 2s

1.2.1.1. 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

1.2.2. 5s

1.2.2.1. 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

1.2.3. 10s

1.2.3.1. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

1.3.1. Array

1.3.1.1. 3x3=9

### 1.4. Equal Grouping

1.4.1. Equal Grouping

## 2. Some Properties of Multiplication

### 2.1. Zero Property

2.1.1. 0x9=0 zero groups of 9 is ZERO

2.1.1.1. How would you say 0x30=0?

2.1.1.1.1. Zero groups of thirty equals zero!

2.1.2. 6x0=0 six groups of zero is ZERO

2.1.2.1. How would you say 30x0=0?

2.1.2.1.1. Thirty groups of zero equals zero!

### 2.2. Identity Property

2.2.1. 1x1=1 One group of 1 equals 1 1x2=2 One group of 2 equals 2 1x3=3 One group of 3 equals 3

2.2.1.1. What is 1x7? What is 8x1? What is 1x1,000,000,000?

2.2.1.1.1. 1x7=7

2.2.1.1.2. 8x1=8

2.2.1.1.3. 1x1,000,000,000= 1,000,000,000

2.2.2. 4x1=4 Four groups of one equals four 5x1=5 Five groups of one equals five 6x1=6 Six groups of one equals six

### 2.3. Commutative Property

2.3.1. "You can multiply the factors in ANY ORDER and still have the same product" Mrs. Multiplication

2.3.1.1. 3x4=12 4x3=12

2.3.1.2. 8x7=56 7x8=56

2.3.1.2.1. Use the Commutative Property to find the other multiplication equation for 6x5=30