Multiplication
when you times/multiply two factors together to find the product.
5 X 5 = 25
factor factor product
Quotient
The answer to a division problem.
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)
A math or number sentence with an equal sign
9 X 7 = 72
Strip Diagram
A fractional strip to represent a whole and parts.
________________________
| |
| 30 |
|______________________ |
| 15 | 10 | 5 |
|__________|_______|____|
|______________________|
Product
The answer to a multiplication problem.
Divisor
the number that is divided into the dividend.
___________
5 | 25
divisor dividend
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)
Expression
a number sentence without an equal sign.
It is not an equation; it is an expression
8 X 7
Example
One-step word problems
one uses one operational sign to solve a word problem
Example
8 X 3
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)
Dividend
the number that the divisor is by
__________
5 | 25
dividend
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.
Two-step word problems
one uses two operational signs to solve a math problem.
(5 X 6) + 2 =
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.
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
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
Repeated addition
when you add each number to solve
4 X 5 =
5: 5 10 15 20
(writing your multiples)
Factor
A number multiplied by another number to make a product.
8 X 8
factor factor
Repeated subtraction
18 divided by 3
the property that states that the product of zero and any number is zero.
Example 0 X 6 = 0
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