Multiplying and Dividing Integers

Multiplying and Dividing Integers

by Ryan Heywood

​2 x 3 =

​2 x 3 = 6

​

​

​2 x 3 = 6

​

​2 x 2 =

​2 x 3 = 6

​

​2 x 2 = 4

​

​

​2 x 3 = 6

​

​2 x 2 = 4

​

​2 x 1 =

​2 x 3 = 6

​

​2 x 2 = 4

​

​2 x 1 = 2

​2 x 3 = 6

​

​2 x 2 = 4

​

​2 x 1 = 2

​

​

​

​

What problem comes next?

​

​

What problem comes next?

​2 x 3 = 6

​

​2 x 2 = 4

​

​2 x 1 = 2

​

​2 x 0 =

​2 x 3 = 6

​

​2 x 2 = 4

​

​2 x 1 = 2

​

​2 x 0 = 0

​

​

​2 x 3 = 6

​

​2 x 2 = 4

​

​2 x 1 = 2

​

​2 x 0 = 0

​

​2 x -1 =

​2 x 3 = 6

​

​2 x 2 = 4

​

​2 x 1 = 2

​

​2 x 0 = 0

​

​2 x -1 = -2

​2 x 3 = 6

​2 x 2 = 4

​2 x 1 = 2

​2 x 0 = 0

​2 x -1 = -2

​What patterns do you see?

​2 x 3 = 6

​2 x 2 = 4

​​2 x 1 = 2

​2 x 0 = 0

​2 x -1 = -2

2 x -2 =

​

​

​

Lets continue

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​2 x 3 = 6

​2 x 2 = 4

​​2 x 1 = 2

​2 x 0 = 0

​2 x -1 = -2

2 x -2 = -4

​

​

​

Lets continue

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​

​2 x 3 = 6

​2 x 2 = 4

​​2 x 1 = 2

​2 x 0 = 0

​2 x -1 = -2

​2 x -2 = -4

​2 x -3 =

​

​

​

Lets continue

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Multiple Choice

$$-4\ \times\ 3$$  

• 12

• -12

• -1

• 1

Multiple Choice

$$4\ \times\ -3$$  

• 12

• -12

• -1

• 1

​2 x 3 = 6

​2 x 2 = 4

​​2 x 1 = 2

​2 x 0 = 0

​2 x -1 = -2

​2 x -2 = -4

​2 x -3 = -6

​When one integer is negative

​the answer is negative

​Let's try it another way

​2 x -3 =

​2 x -3 = -6

​

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 =

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 = -4

​​

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 =

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 =

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 = 0

​

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 = 0

​-2 x -1 =

​When one integer is negative

​the answer is negative

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 = 0

​-2 x -1 = 2

​

​When one integer is negative

​the answer is negative

​

​

​

​

​

When both integers are negative

​the answer is positive

​

​

​

​

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 = 0

​-2 x -1 = 2

​-2 x -2 =

​When one integer is negative

​the answer is negative

​

​

​

​

​

When both integers are negative

​the answer is positive

​

​

​

​

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 = 0

​-2 x -1 = 2

​-2 x -2 = 4

​

​When one integer is negative

​the answer is negative

​

​

​

​

​

When both integers are negative

​the answer is positive

​

​

​

​

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 = 0

​-2 x -1 = 2

​-2 x -2 = 4

​-2 x -3 =

​When one integer is negative

​the answer is negative

​

​

​

​

​

When both integers are negative

​the answer is positive

​

​

​

​

​2 x -3 = -6

​2 x -2 = -4

​​2 x -1 = -2

​2 x 0 = 0

​-2 x -1 = 2

​-2 x -2 = 4

​-2 x -3 = 6

​What patterns do you see?

Multiple Choice

$$10\ \times\ -2$$  

• 12

• -12

• 20

• -20

Multiple Choice

$$-5\ \times-2$$  

• 10

• -10

• -7

• 7

Multiple Choice

$$-4\ \times\ -3$$  

• 12

• -12

• -1

• 1

Multiple Choice

$$-4\ \times\ 3$$  

• 12

• -12

• -1

• 1

Multiple Choice

$$7\ \times\ -6$$  

• 42

• -42

• -1

• 1

Multiple Choice

$$-7\ \times\ -6$$  

• 42

• -42

• -1

• 1

Multiple Choice

$$7\ \times\ 6$$  

• 42

• -42

• -1

• 1

Multiple Choice

$$20\ \div\ -5$$  

• 4

• -4

• -15

• 25

Multiple Choice

$$-20\ \div\ 5$$  

• 4

• -4

• -15

• 25

Multiple Choice

$$-20\ \div\ -5$$  

• 4

• -4

• -15

• 25

Multiple Choice

$$-10\ \div\ -2$$  

• 5

• -5

• -8

• -12

Multiple Choice

$$10\ \div\ -2$$  

• 5

• -5

• -8

• -12

Multiple Choice

$$-15\ \div\ -5$$  

• 3

• -3

• -10

• -20

Multiple Choice

$$30\ \div\ -3$$  

• 27

• 33

• -10

• 10

Multiple Choice

$$-15\ \div\ 5$$  

• 3

• -3

• -10

• -20

Multiple Choice

$$-15\ \div\ -5$$  

• 3

• -3

• -10

• -20

Multiple Choice

$$-15\ \div\ -5$$  

• 3

• -3

• -10

• -20

Multiple Choice

$$-5\ +\ -5$$  

• 10

• -10

• -25

• 25

​Remember 2 negatives make a positive ONLY when multiplying and dividing NOT when adding and only sometimes when subtracting.

Multiple Choice

$$2\ \times-3\ \times2$$  

• 12

• -12

• 8

• -8

• -6

Multiple Choice

$$-2\ \times-3\ \times2$$  

• 12

• -12

• 8

• -8

• -6

Multiple Choice

$$-5\ \times-5\ \times-1$$  

• 25

• -25

• -11

• 11

• -5

Multiple Choice

$$5\ \times-5\ \times-1$$  

• 25

• -25

• -11

• 11

• -5

Multiple Choice

$$5\ \times-5\ \times1$$  

• 25

• -25

• -11

• 11

• -5

Multiple Choice

$$-1\times-1\times-1\times-1\times-1\times-1\times-1\times-1$$  

• 1

• -1

• -8

• 8

Multiple Choice

$$-1\times-1\times-1\times-1\times-1\times-1\times-1$$  

• 1

• -1

• -7

• 7

Multiple Choice

$$-27\ \times56$$  

• 1,512

• -1,512

• 1,539

• -1,539

Multiple Choice

$$-123\ \times-123$$  

• 15,129

• -15,129

• 12,123

• -12,123

Multiple Choice

$$-123\ \times-123$$  

• 15,129

• -15,129

• 12,123

• -12,123