# For Each Set of Rational Number, Given Below, Verify the Associative Property of Addition of Rational Number: - Mathematics

Sum

For each set of rational number, given below, verify the associative property of addition of rational number:

(iv) -1, 5/6 and (-2)/3

#### Solution

Show that :

This verifies associative  property  of the addition of rational numbers.

(-1)/1+(5/6+(-2)/3)=((-1)/1+5/6)+(-2)/3

∴(-1)/1+(5/6+(-2)/3)

 2 6, 3 3 3, 3 1, 1

∴ LCM of 6 and 3 = 6

=(-1)/1+((5xx1)/(6xx1)+(-2xx2)/(3xx2))    (∴LCM of 6 and 3 = 6)

=(-1)/1+((5-4)/6)

=(-1)/1+1/6

=(-1xx6)/(1xx6)+(1xx1)/(6xx1)    (∴ LCM of 1 and 6 = 1)

=(-6+1)/6=(-5)/6

And, ((-1)/1+5/6)+(-2)/3

=((-1xx6)/(1xx6)+(5xx1)/(6xx1))+(-2)/3  (∴LCM of 1 and 6 =6)

=((-6+5)/6)+(-2)/3

=(-1)/6+(-2)/3           (∴ LCM of 1 and 6 = 6)

=(-1xx1)/(6xx1)+(-2xx2)/(3xx2)

=(-1-4)/6=(-5)/6  (∴LCM of 6 and 3 = 6)

∴(-1)/1+(5/6+(-2)/3)=((-1)/1+5/6)+(-2)/3

Concept: Concept of Rational Numbers
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 1 Rational Numbers
Exercise 1 (A) | Q 5.4 | Page 9