Terms  Definitions 

Closure property of addition 
For whole numbers a and b, a + b is a whole number

Identity property of addition 
There exists a unique whole number, 0, such that 0 + a = a for every whole number a. Zero is the additive identity element

Additive identity element of addition 
Zero is the

Commutative property of addition 
For whole numbers a and b, a + b = b + a

Associative property 
For whole numbers a, b, and c, (a +b) + c = a + (b + c)

Definition of less than and greater than for whole numbers 
Given whole numbers a and b, a is less than b, (a < b) if and only if there is a whole number k > 0 such that a + k = b. Also, b is greater than a ( b > a) whenever a < b.

Taking Away in subtraction 
Ex. How much string is left on a 33 yrd spool if 21 yards have already been used (Taken away)

Separating in subtraction 
Ex. How must carpet is needed to finish capering a room when you both the total amount and also the amount in the part of the room that is already carpeted.

Comparing in subtraction 
Ex. How much wider a living room window is than a bedroom window

Definition of Subtraction of whole numbers 
In the subtraction of the whole numbers a and b a b = c if and only if c is a unique whole number such that c + b = a. In the equation, a  b = c, a is the minuend, b is the subtrahend, and c is the difference.

Rectangular array of multiplication 
when sets are arranged in equal rows and columns

Area model of multiplication 
the two numbers being multiplied represent the dimensions of a rectangle

Definition of multiplication as repeated addition 
In the multiplication of whole numbers, if there a rem sets with n objects in each set, then the total of objects ( n + n + n+ ....) where n is used as an added m times) can be represented by m x m where m and n are factors and m x n is the product.

Closure property of multiplication 
For whole numbers a and b a x b is a unique whole number

Identity property of multiplication 
There exists a unique whole number 1 such that 1 x a = a x 1 = a for every whole number a. Thus is the multiplicative identity element

multiplicative identity element 
1 is the

Commutative property of multiplication 
For whole numbers a and b, a x b = b x a

Associative property 
For whole numbers a, b, and c (a x b) x c =a x (b x c)

Zero property 
For each whole number a, a x 0 = 0 x a = 0

Distributive property of multiplication over addition 
for whole numbers a, b, and c, a x(b +c ) = (a x b) + (a x c)

Partitioning model of division 
Separating and finding how many in each subset. Ex. Total of 300 envelopes, with 25 bundles. How many in each bundle?

Measurement model 
Separating and finding how many subsets. Ex. total of 300 envelopes, with 25 in each bundle. How many bundles?

Definition of division 
in the division of whole numbers and b, b is not equal to 0, a/b=c if and only if c is a unique whole number such that c x b = a. In the equation a/b=c, a is the dividend, b is the divisor, and c is the quotient.

The division algorithm 
For any two whole numbers a and b, b does not equal 0, a division process for a/b can be used to find unique whole numbers q (quotient) and remainder such that a=bq +r and 0 is less than or equal to r and r is less than b. For a = 25, b =4, q=6, and r =1, 25 = (4x6) + 1 using whole number division

Leave a Comment ({[ getComments().length ]})
Comments ({[ getComments().length ]})
{[ comment.comment ]}