Distributive Property
• The sum of two addends multiplied by a number equals the sum of the product of each addend and that number
4(3 + 7) = 4(3 + 7)
4(10) = 4 •3 + 4 •7
4(10) = 12 + 28
40 = 40
Multiple• The product of a given whole number and an integer4 • 1 =
4 • 2 =
4 • 3 =
4 • 4 =
4 • 5 =
4
8
12
16
20
MULTIPLES
Greatest Common Factor
• The largest factor that two or more numbers have in common
20 – 1, 2, 4, 5, 10, 20
45 – 1, 3, 5, 9, 15, 45
5 is the GCF of 20 and 45
Least Common Multiple
• The smallest multiple (other than zero) that two or more numbers have in common
4 – 4, 8, 12, 16, 20, 24, 28, 36
9 – 9, 18, 27, 36, 45, 54
Reciprocal• Two numbers whose product is 1; when you switch the numerator and the denominator of a fraction
2
11
2=2
The reciprocal of is 2. 2
1 11
1
1
2
2
1
Measurement Model of Division
• When you find the number of groups that can be made from a given amount
120 ÷ 12 = 10 students cookies batches
in a batch
Partitive Model of Division
• When an amount is divided into groups and you find how many is in each group
30 ÷ 10 = 3 students groups students per group
Difference•The amount left after one number is subtracted from another number
189 - 144 45difference
a. minuend
What is the result when you switch the numerator and denominator of a fraction?
b. reciprocal
c. differenced.
addend
Question1
A number that is divided by another number is ______. Question 5
Partitive Model of Division
Divisor
Subtrahend
Dividend
The ________ _________ shows that the sum of two addends multiplied by a number equals the sum of the product of each addend and that number. Question 6
Measurement of Model
Division
Distributive Property
Greatest Common
Factor
Least Common Multiple
The productof a givenwhole numberand aninteger is called a _______.
Question 7
Minuend
Quotient
Sum
Multiple
When an amount is divided into groups and you find how many is in each group is called the _______________________________.
Question 8Partitive Model of Division
MeasurementModel ofDivision
Quotient Dividend
The largest factor that two or more numbers have in common is the _________________ .
Question 9
Multiple
Least Commo
n Multipl
eGreatest
Common
Factor
Factor
What is the smallest multiple that two or more numbers have in common?
Question 10
Difference Multiple
Least Common Multiple
Addend