Question

if a number is rational, then it must be a whole number true or false ?

Answer 1

Answer:

All integers are rational. b. If a number is rational, then it must be a whole number

Step-by-step explanation:

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Answer 2

SOLUTION

TO CHECK

True / False below statement :

If a number is rational, then it must be a whole number

EVALUATION

We know that Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$ Where p & q are integers with q ≠ 0

Next , the set of whole numbers are denoted by W and defined as

W = { 0 , 1 , 2 , 3 , 4 , 5 , . . . . }

Thus there are infinite number of rational numbers which are not whole number

In addition every whole number is a rational number

For example - 1 is a rational number but not a whole number

Thus we can conclude that if a number is rational then it may not be a whole number

Hence the statement is FALSE

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