Properties of Multiplication
9 x 0 = 0
Zero Property of Multiplication
78 + 0 = 78
Identity Property of Addition
Prime or Not: 24
24 is a prime number
What number from the list below is divisible by 2?
a. 15,691
b. 826,344
c. 79
b. 826,344
826,344 the last digit is 4, which is even
4 / 2 = 2*
826,344 / 2 = 413,172
What number from the list below is divisible by BOTH 5 and 10?
a. 6,321
b. 450,637
c. 1,370
c. 1,370
1,370 - it ends with 0
1,370 / 5 = 274
1,370 / 10 = 137
What math term is used to describe the answer of a multiplication problem? For example, sum is used to describe the answer to an addition problem.
Product refers to the answer to a multiplication problem.
What is the Commutative Property?
The Commutative Property of Addition states that changing the order of addends does not change the sum.
Prime or Not: 63
63 is NOT a prime number
For a number to be divisible by 9, what is the divisibility rule it must follow?
To be divisible by 9, the sum of the digits must be divisible by 9.
513 = 5 + 1 + 3 = 9
9 / 9 = 1*
513 / 9 = 57
For a number to be divisible by 10, what is the divisibility rule it must follow?
To be divisible by 10, a number must end with a 0
What is the Identity Property of Multiplication?
The Identity Property of Multiplication states that the product of 1 and any number is that number.
For example: a x 1 = a
3 + 4 = 4 + 3
Commutative Property of Addition
Prime or Not: 101
101 is a prime number
What is a number divisible by if the last digit is even (0, 2, 4, 6, 8...)?
A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8...)
What number from the list below is NOT divisible by 5?
a. 6,309
b. 432,115
c. 52,630
a. 6,309
6,309 - the last digit is not 0 or 5
6,309 / 5 = 1,261.8 which is not a whole number
6(3x + 4) = 6(3x) + 6(4)
Distributive Property
What property of addition states: changing the grouping of the addends does not change the sum?
Associative Property of Addition
(a + b) + c = a + (b + c)
What can prime numbers be divided by?
A prime number can only be divided by 1 and itself.
What number from the list below is divisible by 3?
a. 983
b. 8701
c. 1236
c. 1236
1 + 2 + 3 + 6 = 12
12 / 3 = 4*
1236 / 3 = 412
For a number to be divisible by 8, what is the divisibility rule it must follow?
For a number to be divisible by 8, the sum of the last 3 digits must be divisible by 8
What property of multiplication states: changing the order of factors does not change the product?
Commutative Property of Multiplication
ab = ba
5 x 3 = 3 x5
(6 + 3) + 2 = (2 + 3) + 6
Associative Property of Addition
What is a composite number?
A composite number is anything that is NOT prime. It is divisible by something other than 1 and itself.
For a number to be divisible by 6, what is the divisibility rule it must follow?
To be divisible by 6, a number must be divisible by both 2 and 3
What number from the list below is divisible by 4?
a. 369
b. 2048
c. 6330
b. 2048
2048 - the last 2 digits are divisible by 4
48 / 4 = 12*
2048 / 4 = 512