In 2/3 + (-4/5) +(-2/3) + 1 + (-11/15) which property should be applied?
Answers
In 2/3 + (-4/5) +(-2/3,) + 1 + (-11/15) Distributive property should be applied.
There are three main properties for solving numbers:-
1) Commutative property - It states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
a+b=b + a
2) Associative property- This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).
a+ (b+c)= (a+b)+ c
3) Distributive property - Distributive property helps us to simplify the multiplication of a number by a sum or difference. As the name suggests, it distributes the expression.
a*b + a*c= a( b +c)
The above question can be solved using the distributive property as follows:-
=2/3 + (-4/5) +(-2/3) + 1 + (-11/15)
=2/3[ -4/5-1]+ (-11/15)
=2/3(-9/5)+(-11/15)
=-18/15-11/15
=-29/15