No
a ratio of integers
Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.
- Always, if the two integers are both positive. - Sometimes, if the two integers have different signs. - Never, if the two integers are both negative.
Yes.Suppose a and b are two positive rational numbers. Then a can be expressed in the form p/q where p and q are positive integers, and b can be expressed in the form r/s where r and s are positive integers.Then b - a = r/s - p/q = (qr - ps)/qs.Now, since p, q, r and s are integers, thenby the closure of the set of integers under multiplications, qr, ps and qs are integers;q and s are positive => qs is positive, andby the closure of the set of integers under addition (and subtraction), qr - ps is an integer.That is, b - a = (qr - ps)/qs is a ratio of two integers, where the denominator of the ratio is positive.
A number that cannot be expressed as the ratio of two integers is known as an irrational number.
real number
the two numbers are 14 and 18
a ratio of integers
Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.
This statement is true when the two integers are positive, or when the two integers are negative.
A proper fraction is a ratio of two positive integers in which the numerator is smaller than the denominator.
* The quotient of two positive integers or two negative integers is positive. * The quotient of a positive integer and a negetive integer is negetive.
The intersection of integers and rational numbers is the set of integers. Integers are whole numbers that can be positive, negative, or zero, while rational numbers are numbers that can be expressed as a ratio of two integers. Since all integers can be expressed as a ratio of the integer itself and 1, they are a subset of rational numbers, making their intersection the set of integers.
No. Two negative integers added together will never equal a positive integer. It is the product of two negative integers that is positive.
- Always, if the two integers are both positive. - Sometimes, if the two integers have different signs. - Never, if the two integers are both negative.
Yes.Suppose a and b are two positive rational numbers. Then a can be expressed in the form p/q where p and q are positive integers, and b can be expressed in the form r/s where r and s are positive integers.Then b - a = r/s - p/q = (qr - ps)/qs.Now, since p, q, r and s are integers, thenby the closure of the set of integers under multiplications, qr, ps and qs are integers;q and s are positive => qs is positive, andby the closure of the set of integers under addition (and subtraction), qr - ps is an integer.That is, b - a = (qr - ps)/qs is a ratio of two integers, where the denominator of the ratio is positive.
A number that cannot be expressed as the ratio of two integers is known as an irrational number.