This document discusses the properties of multiplication, including the commutative property, associative property, identity property, zero property, and distributive property. It provides examples of how each property works and encourages using the properties to solve multiplication problems mentally. Key properties are that the order of factors can be changed (commutative) and numbers can be grouped differently (associative), multiplying by 1 or 0 results in the original number or 0, and a number can be distributed across addition.

1. MATHEMATICS
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2. PROPERTIES
OF
MULTIPLICATION

3. We can use the
properties of
multiplication to
multiply numbers
mentally.

4. What are the properties
of multiplication?

5. 1. Commutative Property
2. Associative Property
3. Identity Property
4. Zero Property
5. Distributive Property of
Multiplication over Addition

6. Commutative Property
- This property says
that you can swap
numbers around and
still get the same
product when you
multiply.
a x b = b x a

8. 1. Commutative Property
Examples:
When multiplying:
2 × 4 = 4 × 2
8 = 8

9. Associative Property
- This property tells
us that it doesn't
matter how you
group the numbers
when you add or
multiply.

10. Associative Property
- In other words it
doesn't matter
which you calculate
first.
(a x b) x c = a x (b x c)

12. Identity Property
- This property tells
us that any number
that is multiplied by
one, the product is
that number.
a x 1 = a

14. Zero Property
- This property tells
us that when
multiplying any
number by zero, the
product is always zero
a × 0 = 0 0 × a = 0

16. Distributive Property of Multiplication
over Addition
- You can use this
property to multiply a
one-digit factor to the
expanded form of
another number.

18. What are the properties
of multiplication?

19. 1. Commutative Property
2. Associative Property
3. Identity Property
4. Zero Property
5. Distributive Property of
Multiplication over Addition

20. We can use the properties of
multiplication to multiply
numbers mentally.

21. Knowing the basic
multiplication facts is also
important in mental
multiplication.

23. Identify what Property of
multiplication is shown.

24. 4x40=40x4

25. 7x15= 7x(10+5)
= (7x10)+(7x5)
= 70 + 35
= 105

26. (3x5)x6= 3x(5x6)

27. 1x50,000=50,000

28. 0x100,000=0

29. Try to solve the following
mentally.

30. 5x20=

31. 3x60=

32. 4x100=

33. 1x55x0=

34. 14x0x10=

35. MATHEMATICS
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