Question

Using appropriate properties find
-2/3×3/5+5/2-3/5×1/6​

Answer 1

Answer:

emo

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given :-

-2/3×3/5+5/2-3/5×1/6

To find :-

Find the value of the expression by using appropriate properties ?

Solution :-

Given numerical expression is

-2/3×3/5+5/2-3/5×1/6

It can be written as

=> [(-2/3)×(3/5)] + (5/2) - [(3/5)×(1/6)]

By Commutative property

=> [(-2/3)×(3/5)] - [(3/5)×(1/6)] + (5/2)

By Distributive Property of Rational numbers

=> (3/5)[(-2/3)-(1/6) ] +(5/2)

=> -(3/5) [ (2/3)+(1/6) ] +(5/2)

LCM of 3 and 6 = 6

=> -(3/5)[(4+1)/6] +(5/2)

=> [-(3/5)(5/6)]+(5/2)

=> [(-3×5)/(5×6) ] +(5/2)

=> (-15/30)+(5/2)

=> (-1/2)+(5/2)

=> (-1+5)/2

=> 4/2

=> 2

Answer:-

The value of the given expression is 2

Used formulae:-

Distributive Property :-

Let a , b, c be any three rational numbers,if a×(b+c) = (a×b)+(a×c) is called Distributive Property under multiplication over addition.

Commutative Property :-

Let a , b, be any two rational numbers,if a×b = b× a is called Commutative Property under multiplication.