Explaining the Associative Property in Math

The associative property is defined when two or more two numbers are added or multiplied, and the result remains the same. It does not affect the way the numbers are grouped. Associate refers to connecting or joining with something. As per the associative property in Math the addition and multiplication numbers are stay regardless no matter how they are grouped.  

Mathematics has its own set of manipulative principles. These principles help to solve a variety of equations. Generally, three properties provide the main support to mathematics. Associative property, commutative property, and distributive property are used in various arithmetic operations.   

Start Solving FREE Math Problems Today!

Definition of Associative property  

Associative property in Math defines the grouping of numbers. The Basic math operations can be performed using associate properties which are mainly addition and multiplication. This associative property is applicable for more than two numbers. On the other hand, the commutive property the grouping of numbers does not matter in the associative property. The process of grouping numbers can be done in parentheses. The associate law expresses the main difference, and the part of operations is carried out first.  

Formula of Associative Property 

Associative property Examples: Suppose, in addition, 3+4+5, the answer will be 12. Now let’s group the numbers  

• 3+ (4+5) =12 

• (3+4) +5=12  

In multiplication, 3*4*5, the answer will be 60. Now group these numbers  

• (3*4) *5=60 

• 3*(4*5) =60  

Difference Between Associative Property and Commutative Property  

Both commutative and associative properties are functioned in number grouping and positioning.  

Significance of Associative Property  

The associative property is mainly grouped with numbers. It is helpful in addition and multiplication without changing its results. It can be used to find friendly numbers while solving mathematical equations. This formula allows us to rearrange addition problems which makes it easier to solve equations.  

Considering all of these, associative property in Math refers to when three or more sets of numbers are added or multiplied the numbers remain the same even if the grouping is different. In mathematics, addition and multiplication are always associative properties. In the case of subtraction and division, they are not grouping without changing their results. The associative property demands fixing natural numbers and then applying induction on the natural number. To get more insights regarding the topic, please visit our website www.98thpercentile.com  

FAQs (Frequently Asked Questions)  

Q.1: What is the law of associate property?  

Ans: The law definition is (a+b) +c=a+(b+c) 

Q.2: How do you explain associate property to students?  

Ans: Three or more numbers can be added or multiplied together without changing their results or value.  

Q.3: What is the full form of BODMAS?  

Ans: The full form is Bracket, Order, Division, Multiplication, Addition, and subtraction.  

Q.4: What is the significance of associative property in real life?  

Ans: It helps in calculating the cost of products and figuring out the total sum.  

Q.5: What are the main operations of associative property in Math?  

Ans: The main operations are addition and multiplication. 

Book FREE Math Trial Classes Now!

Related Articles 

1. Best Free Resources to Learn Mathematics Online

2. Why You Should Consider Math Tutors for Your Child?

3. Finding Unit Rates with Equivalent Ratios

4. Graphing Proportional Relationships