Topic 3
Multiplying Whole Numbers
Commutative Property of Multiplication: The order of the factors can be
changed and the product remains the same.
EX: 3 x 5 = 5 x 3
Associative Property of Multiplication: Factors can be regrouped and the
product remains the same.
EX: 2 x (4 x 10) = (2 x 4) x 10
Identity Property of Multiplication: The property that states that the
product of any number and 1 is that number.
EX: 56 x 1 = 56
Zero Property of Multiplication: The product of any number and zero is
zero.
EX: 672 x 0 = 0
Factors: Numbers that are multiplied to find a product. In 3 x 4 = 12 the 3
and 4 are factors.
Product: The answer to a multiplication problem. In 3 x 4 = 12, 12 is the
product.
Multiple: The product of a given whole number and another whole
number.
Exponential Notation: Writing a number using a base and an exponent
Exponent: A number that tells how many times the base is used as a
factor.
Base: The number that is multiplied by itself when raised to a power.
Standard Form: A common way of writing a number with commas and
digits. 125
Expanded form: when using exponents expanded form can be written as
follows: 53 = 5 x 5 x 5
Squared: A name for a number to the second power.
Cubed: A name for a number to the third power.
Power: A number that tells how many times the base is used as a factor.
Distributive property: Multiplying a sum or difference by a number is the
same as multiplying each number by that number then adding or
subtracting the products.
Partial Products method: deconstructing the numbers according to place
value first, then multiplying.
Lattice Method: Using a lattice to assist in multiplying two or more digit
numbers.
Compact Method: What has become known as the “traditional” method
for multiplying numbers.
Multiplication examples: See attachments