Question

Name the properties of addition implied in the following statement (7/12+3/7)+1/4=(3/7+1/4​

Answer 1

Answer:

The property implied in the following statement is associative property of addition under rational numbers.

Answer 2

The properties of addition implied in (7/12+3/7) + 1/4 = 3/12 (3/7+1/4​) is Associative Property.  

Given :

(7/12+3/7) + 1/4 = 3/12 (3/7+1/4​)

[ In given problem (3/7+1/4)​ might be wrong the corrected one is 3/12 (3/7+1/4​) ]

To find :

Name the properties of addition implied in the given statement

Solution :

Addition :

• The addition is a process of adding 2 or more integers to get a final value.
• The addition is a common operations in the mathematics and statistics.
• The Plus (+) sign denotes the addition.

The properties of Addition :

• The properties which are used in adding a set of number  

• These properties help us in adding or summing up a set of numbers in simple way
• There are 4 types of properties

1. Commutative Property ⇒ A + B = B + A

2. Associative Property ⇒ A+(B+C) = (A+B)+C

3. Distributive Property ⇒ A × (B + C) = A × B + A × C

4. Additive Identity ⇒ A + 0 = A or 0 + A = A  

[ where A, B can any two positive number or fractions ]

Given statement is (7/12+3/7) + 1/4 = 3/12 (3/7+1/4​)

From above data,

The property used in above statement is Associative Property  

Therefore,

The properties of addition implied in (7/12+3/7) + 1/4 = 3/12 (3/7+1/4​) is Associative Property  

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