Which of the following expressions shows

Question:

Which of the following expressions shows that rational numbers are associative under multiplication.

(a) $[(2 / 3) \times((-6 / 7) \times(3 / 5))]=[((2 / 3) \times(-6 / 7)) \times(3 / 5)]$

(b) $[(2 / 3) \times((-6 / 7) \times(3 / 5))]=[(2 / 3) \times((3 / 5) \times(-6 / 7))]$

(c) $[(2 / 3) \times((-6 / 7) \times(3 / 5))]=[((3 / 5) \times(2 / 3)) \times(-6 / 7)]$

(d) $[((2 / 3) \times(-6 / 7)) \times(3 / 5)]=[((-6 / 7) \times(2 / 3)) \times(3 / 5)]$

Solution:

(a) $[(2 / 3) \times((-6 / 7) \times(3 / 5))]=[((2 / 3) \times(-6 / 7)) \times(3 / 5)]$

Because, the arrangement of above rational numbers is in the form of Associative law of Multiplication $[a \times(b \times c)]=[(a \times b) \times c]$

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now