PROPERTIES Addition, Subtraction and Multiplication
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)=