PROPERTIESAddition, Subtraction and Multiplication

Let’s ReviewCan you remember the properties?

Addition Properties1.COMMUTATIVE

2.IDENTITY

3.ASSOCIATIVE

Commutative

A+B=

B+A=

C C

Changing the order of the numbers

IdentityA+0=

0+B=

A B

The sum of zero and a number

Associative(A+B)+C=

A+(B+C)=

Adding three or more numbers

LET’S TRY(1+2)+4=

1+(2+4)=3+4=

71+6=

7

7+0=

7

5+4=

9

94+5=

0+5=5

Subtraction Properties

2.EQUALITY1.IDENTITY

IdentityA-0= B-0=A B

The sum of zero and a number

EqualityIf A=B, then A-C=B-C

If A=B and C=D, then A-C=B-D

Multiplication Properties

1.COMMUTATIVE2.IDENTITY3.ASSOCIATIVE

5.DISTRIBUTIVE4.ZERO

Commutative

AxB=

BxA=C C

Changing the order of the numbers

3x5=

5x3=15

15

IdentityAx1=

1xB=A B

The product of one and a number

2x1=

1x9=2 9

Associative(AxB)xC= Ax(BxC)=Multiplying three or more numbers

3x(1x5)=(3x1)x5=

3x5= 3x5=15 15

LET’S TRY MORE(1x2)x4=

1x(2x4)=2x4=

81x8=

8

7x1=

7

5x4=20

204x5=

1x5=5

ZeroAx0=

0xB=0 0

Multiplying a number by 0

2x0=

0x9=0 0

DistributiveAx(B+C)=

AB+AC=Distributing whole numbers

AxB+AxC=

LET’S PRACTICE4x(2+3)=

84x2+4x3= 1

2+ =

20

LET’S PRACTICE MORE

4x14=

404x10+4x4= 1

6+ = 56

4x(10+4)=

LET’S PRACTICE MORE

2x12=

202x10+2x2= 4+ = 24

2x(10+2)=

NOW YOU TRY

6x(5+2)=

2x(4+4)=

1x(1+4)=