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What is the relationship between irrational numbers and rational numbers?
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.
Can a rational number be negative in the denominator?
Yes. It can also be negative in the numerator. Both positive and negative numbers (as well as zero) can be rational numbers. Both positive and negative numbers can be irrational numbers. Both positive and negative numbers (as well as zero) can be integers.
What is the quotient of positive and negative integers?
The quotient is what you get when you divide two numbers. If both numbers are positive, the quotient will be positive. If both numbers are negative, the quotient will be positive. If one number is positive and one number is negative, their quotient will be negative.
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.
What is whole number but not a counting number?
There are no whole numbers that are not also counting numbers. Both terms mean the same subset of numbers: positive integers greater than zero. Some people consider zero to be a whole number but not a counting number, because you can't "count" zero.
