Vocabulary Aug. 12, 2013Sixth Grade Math

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

Factor•The numbers that are multiplied together to get a product.

5 • 8 = 40

Factors

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

Algorithm

•A step-by-step solution to a problem 4 256

- 24 16 - 16 0

64ALGORITHM

Difference•The amount left after one number is subtracted from another number

189 - 144 45difference

Dividend•A number that is divided by another number

644 256 - 24 16 - 16 0

DIVIDEND

Divisor•A number by which another number is to be divided4 256

- 24 16 - 16 0

64

DIVISOR

Minuend•The number that is to be subtracted from 189 - 144 45 MINUEND

Quotient•The answer to a division problem

4 256 - 24 16 - 16 0

64

QUOTIENT

Subtrahend•The number that is subtracted 189 - 144 45 SUBTRAHEND

Sum• The number you get by adding two or more numbers together

7 + 9 = 16

sum

Addend• The numbers that are added together to get the sum

7 + 9 = 16

Addends

Product•The answer to a multiplication problem

Now Practice On Your Own

a. minuend

What is the result when you switch the numerator and denominator of a fraction?

b. reciprocal

c. differenced.

addend

Question1

• What is the answer to a division problem? Question 2

algorithm

product

divisor quotient

Numbers that are multipliedtogether are ________. Question 3

addends

products

dividend

sfactors

Numbers that are added together are ________. Question 4

addends

multiples

differences

algorithms

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

1

7

4

10

Right!

2 3

5

6

89

Try Again8 7

1

5

2 34

6

9

10

Continue to study your vocabulary!