Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.6k views
in Number System by (50.4k points)
closed by

Verify the property x × (y × z) = (x × y) × z of rational numbers by using x = -2/7, y = -5/6 and z = ¼

1 Answer

+1 vote
by (48.4k points)
selected by
 
Best answer

In the question is given to verify the property x × (y × z) = (x × y) × z

The arrangement of the given rational number is as per the rule of associative property for multiplication.

Then, (-2/7) × (-5/6 × ¼) = ((-2/7) × (-5/6)) × ¼

LHS = (-2/7) × (-5/6 × ¼)

= (-2/7) × (-5/24)

= 10/168

RHS = ((-2/7) × (-5/6)) × ¼

= (10/42) × ¼

= 10/168

By comparing LHS and RHS

LHS = RHS

∴ 10/168 = 10/168

Hence x × (y × z) = (x × y) × z

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...