Question 1108149: Which of the following is always true?
A rational number is a whole number
A whole number is not a rational number
Whole numbers are also integers and rational numbers
A rational number is an integer
I believe the answer the the last one, A Rational number is an integer.
Thank you
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! Which of the following is always true?
A rational number is a whole number
FALSE.
A RATIONAL NUMBER IS AN INTEGER DIVIDED BY ANOTHER INTEGER.
A RATIONAL NUMBER CAN BE AN INTEGER, BUT NOT ALWAYS.
A whole number is not a rational number
FALSE.
A WHOLE NUMBER CAN BE A RATIONAL NUMBER BECAUSE ANY WHOLE NUMBER DIVIDED BY 1 IS A RATIONAL NUMBER BECAUSE IT IS AN INTEGER DIVIDED BY AN INTEGER.
2/1 IS A WHOLE NUMBER AND IT IS A RATIONAL NUMBER BECAUSE IT IS DIVIDED BY 1.
Whole numbers are also integers and rational numbers
TRUE.
THEY ARE INTEGERS AND THEY ARE RATIONAL NUMBERS BECAUSE THEY ARE ALWAYS DIVIDED BY 1. THE DIVISION BY 1 IS NOT USUALLY SHOWN UNLESS IT IS ADVANTAGEOUS TO DO SO.
A rational number is an integer
FALSE.
A RATIONAL NUMBER IS AN INTEGER DIVIDED BY ANOTHER INTEGER.
THE RATIONAL NUMBER CAN BE AN INTEGER, BUT NOT ALWAYS.
I believe the answer the the last one, A Rational number is an integer.
NO IT'S NOT.
IT'S AN INTEGER DIVIDED BY ANOTHER INTEGER.
THE RESULT IS NOT ALWAYS AN INTEGER.
EXAMPLE:
1/2 IS A RATIONAL NUMBER BECAUSE IT IS THE INTEGER 1 DIVIDED BY THE INTEGER 2, BUT THE RESULT IS A FRACTION.
THE RESULT CAN BE INTEGER, SUCH AS 2/1 = 2, BUT NOT ALWAYS.
Thank you
here's some excerpts from the web.
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... A real number that is not rational is called irrational.
Every whole number is a rational number: for example, 3 . So it is rational. Every whole number n can be written as a fraction of integers: n . We aren't required to write it that way; we just need to know that it is possible to express every whole number as a fraction of integers, and hence it is rational.
here's a reference that discusses types of number, both real and imaginary or complex, which you may not have encountered yet.
http://www.purplemath.com/modules/numtypes.htm
don't worry about imaginary or complex.
you'll get to them soon enough if you haven't already.
if the number has the letter i next to it, it is imaginary.
something like 5i.
the i standards for the square root of -1, which is not allowed in real numbers.
therefore 5i means 5 * sqrt(-1).
if the number is complex, it has a real part and an imaginary part.
something like 5 + 3i.
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