Multiplication
Division
Properties
Equation
Miscellaneous
100

Multiplication

when you times/multiply two factors together to find the product.


  5            X        5        =           25

factor              factor                product

100

Quotient

The answer to a division problem.

100

Distributive property

states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

6        X        7

                 3   +      4


(6      X       3)   +      (6    X   4)


100
Equation

A math or number sentence with an equal sign


     9         X         7       =        72

100

Strip Diagram

A fractional strip to represent a whole and parts.

________________________
|                                         |
|                  30                   |
|______________________ |
|     15         |      10   |    5  |                              
|__________|_______|____|

|______________________|




200

Product

The answer to a multiplication problem.

200

Divisor

the number that is divided into the dividend.


                  ___________
     5           |       25

divisor               dividend


200

Associative property of multiplication

states that when the grouping of the factors is changed, the product is the same. It is also called the Grouping Property of Multiplication.


(2   +   3)       +     4   =

2  +       (3    +     4)

200

Expression

a number sentence without an equal sign.


It is not an equation; it is an expression

8         X         7

Example

 

200

One-step word problems

one uses one operational sign to solve a word problem


Example

8      X       3     


300

Array

An array consists of rows and columns. It is a multiplication problem.

X       X        X         X

X       X        X         X

(2 rows and 4 columns =  8)




300

Dividend


the number that the divisor is by

               __________
     5        |      25

                    dividend

             

300

Commutative property of multiplication

states that when you change the order of the factors, the product stays the same. You can think of it as the Order Property of Multiplication.

300

Two-step word problems

one uses two operational signs to solve a math problem.


(5       X         6)        +      2   =

400

Partial Product

The product of parts (different place value) of each factor. The part of a final product that is the result of multiplying the ones, tens, hundreds, and so on.

         

400

Equal groups

When each groups of person or items have the same numbers 


    XXXXX             XXXXX            XXXXX

  3 groups      times        5       =         15

3   X   5   =    15


400

Identity property of multiplication

the property that states that the product of any number and 1 is that number


5       X        1         =         5

1       X       9          =          9



400

Repeated addition

when you add each number to solve

4     X      5       =


5:     5    10      15        20

(writing your multiples)

500

Factor

A number multiplied by another number to make a product.


     8         X         8

factor               factor

500

Repeated subtraction

18    divided by      3


500
Zero property of multiplication

the property that states that the product of zero and any number is zero.


Example        0       X           6       =           0

500

Repeated subtraction

when you subtract to divide.

10    divided by 2    =    

10    -  2    =   8

8      -  2    =   6

6      -   2    =  4

4      -   2    =   2

2      -   2    =    0


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