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Is the product of three rational numbers rational or irrational?
A rational number in essence is any number that can be expressed as a fraction of integers (i.e. repeating decimal). Taking the product of any number of rational numbers will always yield another rational number.
Why is it true that the product of any two integers is a rational number?
Yes, it is true.
Is the product of any two integers is a rational number true?
Yes, that is quite correct.
What is any number that can be expressed as a ratio of two integers?
Any number that can be expressed as the ratio of two integers is a rational number.
Is a rational number a ratio of any two integers?
Not quite. A rational number is a ratio and each rational number is a ratio of specific pairs of integers - not ANY two integers. And, of course, 0 is not allowed on the denominator.
Why are rational numbers sometimes integers?
Because integers can be written as fractions. Any number that can be written as a fraction is a rational number.
Is the quotion of any two nonzero integers is a rational number true?
The definition of a rational number is the quotient of any two nonzero integers.
Is a rational number a subset of the set of integers?
not necessarily... An integer is a rational number, but so is any real number between consecutive integers.
What is any number that can be written as the quotient of integers?
a rational number
Is negative four a rational number?
Yes - any integers, including negative integers, are rational numbers.
Every rational number can be expressed as a ratio of integers?
Yes, A rational number is any number that can be expressed as a fraction whose numerator and denominator are both integers. (For example, 7/3 is a rational number, but pi/3 is not.) Thus, any terminating decimal number is a rational number. Recurring decimals and integers are also rational numbers as they can all be expressed as fractions.
Why is a whole number rational?
Yes, all whole numbers (integers) are rational. Please note though that not all rational numbers are integers.
