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Why is the sum of two rational numbers always rational numbers?
Suppose p/q and r/s are rational numbers where p, q, r and s are integers and q, s are non-zero.Then p/q + r/s = ps/qs + qr/qs = (ps + qr)/qs. Since p, q, r, s are integers, then ps and qr are integers, and therefore (ps + qr) is an integer. q and s are non-zero integers and so qs is a non-zero integer. Consequently, (ps + qr)/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.
Why are rational numbers closed under addition?
Suppose x and y are rational numbers.That is, x = p/q and y = r/s where p, q, r and s are integers and q, s are non-zero.Then x + y = ps/qs + qr/qs = (ps + qr)/qsThe set of integers is closed under multiplication so ps, qr and qs are integers;then, since the set of integers is closed addition, ps + qr is an integer;and q, s are non-zero so qs is not zero.So x + y can be represented by a ratio of two integers, ps + qr and qs where the latter is non-zero.
What times three equals 90?
30
What does qs mean in typing?
Quad Strike or Quick Strike. (QS)
What does QS on a prescription mean?
Queer sort
What does Hay preguntas mean in English?
There are questions, or there is qs
What does QS mean in surfing?
erhh.. quick silver
What does QS mean?
QS can refer to several things depending on the context. In business, QS often stands for "Quantity Surveyor," a professional who estimates and manages construction costs. In healthcare, QS can refer to "Quality of Service," which measures the level of service provided to patients.
What qs mean?
"qs" likely stands for "questions." In the context of text messaging or online communication, it is commonly used as an abbreviation to refer to questions.
Words with double q?
None in English, if you mean paired Qs.
What is a QS?
In the construction industry, what is the role of a QS??
What does keeping up with your PS and Qs mean?
The term Keeping up with your Ps and Qs is generally quoted as Minding your Ps and Qs. This is an old term, which means to Mind your Pints and Quarts, which means to mind your own business, basically, or to take care of a task.
What does qs to 100 mean in formulations?
Hi There, QS means to add enough of the major ingredinet until you have a total of 100% of the formula. It also stands for quantity sufficient. MDW
What are the release dates for Casting Qs - 2010 Interview with Lynne Quirion Part 2 3-6?
Casting Qs - 2010 Interview with Lynne Quirion Part 2 3-6 was released on: USA: 30 August 2011
