Associative Property Worksheets
Associative Property Worksheets
Mathematics is a collection of several types of numbers which are defined in
mathematical concept number system. In the number system various types of
numbers are defined that provide help in solving various mathematical calculative
problems.
In the category of number we generally discuss about the whole number, natural
number, fractional number, rational number and irrational number and so on.
During the study of mathematical number system sometime we are facing the
problem of solving the calculation of complex number.
It means that a number which has combination of two or more numbers with multiple
mathematical operations.
To overcome from this problem mathematics provide some of the properties that
helps in solving the calculation of complex numbers.
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In the mathematical property we generally include associative property, distributive
property and commutative property. Here we are going to discussing about the
associative property worksheets.
The word associative comes from the word associate which refers to the meaning of
group. In mathematics, associative property refers as a rule that perform the task of
grouping.
Mathematical associative property worksheets, an expression can contain a same
operation two or more times in a row with some operands. In the associative property
the order of operation and sequence of number means operands doesn't matter.
According to mathematical definition we can define the associative property as the
word associate refers to the word combine or join. It means that associative property
is a way to combine the more than one operation and operands into a single row.
The associative property can either be performed on two ways that are given below:
(a ) using associative property with addition
( b) using associative property with multiplication
(a ) Associative property with addition: the associative property with addition can be
define as a addition of more than two numbers by grouping them then it doesn't
affect the final output of the addition of all operands.
Here in the below we show you the concept of associative property with addition by
example:
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Example: There is an expression, which is given below. Now we need to find out the
expressions which follow the concept of associative property?
( 4 + 6) + 3
Solution: In the above, there is a mathematical expression given with the two addition
operation. now we need to use the associative property of addition to create a new
expression that do not affect the final result of the expression. Let's show you below:
( 4 + 6) + 3 = 4 + ( 6 + 3 )
10 + 3 = 4 + 9
13 = 13
In the above we can see that by changing the bracket's position in associative
property of addition, there is no effect on final answer.
( b) Associative property with multiplication: when we perform the multiplication of
more than two number by grouping them into factors that does not has any effect on
the final product.
Example: There is an expression, which is given below. Now we need to find out the
expressions which follow the concept of associative property?
( 4 * 6) * 3
Solution: In the above, there is a mathematical expression given with the two
multiplication operation. Now we need to use the associative property of addition to
create a new expression that does not affect the final result of the expression. Let's
show you below:
( 4 * 6) * 3 = 4 * ( 6 * 3 )
24 * 3 = 4 * 18
72 = 72


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