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The letters stand for the German Quotient and Zahlen.

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Q: Why do you use Q for rational numbers and Z for integers?
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What are rational numbers but not integers?

The vast majority of rational numbers are not integers. They are numbers which can be written in the form p/q where p and q are integers which are co-prime and q > 1.


What is the name for numbers that can be written as the quotient of two integers?

The rational numbers. The set of rational numbers is the set of all numbers that can be expressed as p/q where p and q are integers.


How are integers and rationals numbers different?

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.


How will you describe rational numbers?

Rational numbers are numbers which can be expressed as a ratio of two integers, p and q (where q >0), in the form p/q.


Why are integers always included in rational numbers?

A rational number is a number than can be written p/q with p and q integers Any integers can be written this was with q=1


What are rational and rational numbers?

Rational numbers are numbers which can be written in the form p/q where p and q are integers and q > 0. Rationals is often used as an abbreviation to refer to the set of all rational numbers.


What is negative rational numbers?

They are numbers that can be expressed as -p/q where p and q are positive integers.


What are rational numbers that are also integers?

All integers {..., -2, -1, 0, 1, 2, ...} are rational numbers because they can be expressed as p/q where p and q are integers. Let p equal whatever the integer is and q equal 1. Then p/q = p/1 = p where p is any integer. Thus, all integers are rational numbers.


What is a rational number and why?

A rational number is a number which can be expressed as a ratio of two integers, in the form p/q, where p and q are integers and q is not zero. it is so because that is how rational numbers are defined.


What type of numbers are said to be in rational form and are referred to as rational numbers?

They are numbers which are written in the form p/q where p and q are integers.


Are integers sometimes rational numbers?

All integers are rational numbers.A rational number is any number which can expressed in the form (p/q) where q is not equal to zero.Any integer can be expressed in this form. For example, (-2) can also be written as (-2/1) where it is of the (P/q) form and q = 1 which is not zero.So, ALL integers are rational numbers.


Is negative 41 rational?

All integers and ratios between two integers are rational numbers. They are defined as p/q where p and q are integers and q is not 0. Therefore -41 is a rational number (and a negative integer as well).