Question

find whether the following statements are true or false 1)every integer is a rational number and vice versa.( ) 2) in a rational of the form p/q,q must be a non zero integer ( ) 3) every decimal number can be represented as a rational number. ( ) 4) 5/7,6/7,7/7 are equivalent rational numbers ( ) 5)equivalent rational numbers of a positive rational numbers are all positive ( )​

Answer 1

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1)True

2)True

3)True

4)False

5)True

Step-by-step explanation:

1)A rational number is a number that can be expressed as a fraction. All integers can be described as itself divided by 1. Because all integers can be expressed as a fraction, all integers are rational numbers

2)in a rational of the form p/q,q must be a non zero integer because if in place of q if we write 0 it will ot be considered as a rational no

3)Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

4)Equivalent Rational Numbers :

Equivalent Rational Numbers are

those which have same value but

are represented in different way.

p/q = kp/kq

example :

5/3 = 10/6 = 15/9

5)If  

b

a

​  

 is a positive rational number  

b×x

a×x

​  

 is a positive rational number equivalent to  

b

a

​  

 

So, given statement is true

Answer 2

Answer:

(1) false (2) true (3) false (4) true (5) true