HELP PLEASE!!!
which number produces a rational number when multiplied by 1 over 5 (1/5)

A. -1.41421356...
B. square root of 11
C. pi
D. negative 2 over 3 ( -2/3 )

Respuesta :

a rational number times a rational number=rational number
an irrational number times a rational number=irrational number

remember, a rational number is a number that can be written as a/b where a and b are integers and b≠0



A is irrational because the pattern doesn't repeat
b is irrational because it's a crazy square root
C is irrational
D is not irrational, it is a fraction


answer is D

-2/3 produces a rational number when multiplied by 1/5.

1/5 is a rational number.

So, in order to get a rational number when multiplied by 1/5, the other number must also be a rational number.

From the given options only -2/3 is a rational number.

It means -2/3 produces a rational number when multiplied by 1/5.

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