Array
Chapter 3 Vocabulary
Array – a set of objects in rows
and columns
Factor – a number that is
multiplied by another number
to find a product.
Equal groups
Multiply – when you combined
equal groups, you can multiply
to find how many in all: the
opposite operation of division.
Product – the answer in a
multiplication problem
Equal groups – groups that have
the same number of objects.
For example,
Chapter 3
Commutative Property
3x5 = 5x3
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Word problem:
3x5=15, Ally has 3 bags of popcorn
kernels, each bag hold 5 kernels. How
many total popcorn kernels does Ally
have?
5x3=15, Ally has 5 bags of popcorn
kernels, each bag holds 3 kernels. How
many total kernels does Ally have?
Identity Property
5 x 6 = 30. There are 5 equal
groups of 6 in 30.
RIGHT SIDE
Properties of Multiplication
1. Commutative Property of
multiplication – states that when
you change the order of the
factors the product will be the
same.
2. Identity Property of
Multiplication- states that
the product of any number
and 1 is that number.
3. Zero Property of
Multiplication – states that
the product of zero and any
number is zero
1x5=5
6x1=6
Zero Property
8x0=0
0x3=0
Associative
(4x2) x 3=
(8) x3 = 24
4 x (2x3)=
4 x (6)=24
Distributive
2 x 8 = 2 x(4+4)
16 = 2 x 8=16
6 x7 = 42
(break apart) (6x3)+(6x4)
18 + 24 = 42
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4. Associative Property of
Multiplication – States that
when the grouping of the
factors is changed, the
product is the same.
5. Distributive Property of
Multiplication – states that
multiplying a sum by a
number is the same as
multiplying each added by
the number and then
adding the products.
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Chapter 4
Strategy using 5 facts and adding
factor for (6 times table)
Example:
6x1= 5x1+1= 6
6x2=5x2+2=12
6x3=5x3+3=18
6x4=5x4+4=24
6x5=5x5+5=30
6x6=5x6+6=36
6x7=5x7+7=42
6x8=5x8+8=48
6x9=5x9+9=54