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What does the idiom mind your PS andQs mean?
Mind your Ps and Qs means to use good manners.
Mind your PS and Qs?
to be careful how you behave
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 to mind someons PS and qs?
The phrase "mind your Ps and Qs" typically means to be careful about your manners or behavior, particularly in social situations. It is often interpreted as a reminder to be polite and attentive to etiquette. The exact origin of the phrase is unclear, but it may refer to the need to pay attention to detail or to the distinctions between similar terms in language. Overall, it emphasizes the importance of being mindful of one's conduct.
What does mind you p's and t's mean?
Actually, it's mind your PS and qs. It means, be careful and meticulous in what you say and how you behave. When I was young, I did a little typesetting. Moveable type is lovely stuff, but it's the mirror image of the letters it prints; so a b in type looks like a d. Rotate a d, and you have a p; rotate a b and you have a q. Typesetters had to mind their PS and qs all the time.
What is the plural possessive of p and q?
The plural form is Ps and Qs.The plural possessive form is Ps and Qs'.Example: Your Ps and Qs' training seems lacking.
What does the expression minding your PS and Qs stand for?
The expression "minding your Ps and Qs" typically means to be careful about your manners and behavior, particularly in social situations. The origin of the phrase is unclear, but it is often thought to relate to the distinctions between "pints" and "quarts" in pubs or to the need to be mindful of one's "pleases" and "thank yous." Overall, it serves as a reminder to be attentive and courteous in interactions with others.
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.
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 is the difference between two rational numbers always a rational number?
Suppose x and y are two rational numbers. Therefore x = p/q and y = r/s where p, q, r and s are integers and q and s are not zero.Then x - y = p/q - r/s = ps/qs - qr/qs = (ps - qr)/qsBy the closure of the set of integers under multiplication, ps, qr and qs are all integers,by the closure of the set of integers under subtraction, (ps - qr) is an integer,and by the multiplicative properties of 0, qs is non zero.Therefore (ps - qr)/qs satisfies the requirements of a rational number.
What actors and actresses appeared in Ps and Qs - 1992?
The cast of Ps and Qs - 1992 includes: Lesley Joseph as Herself - Host Jonathan Meades as Himself - Host Miles Richardson Tony Slattery as Himself - Host
Why is the sum or product of two rational numbers rational?
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.Also p/q * r/s = pr/qs.Since p, q, r, s are integers, then pr and qs are integers.q and s are non-zero integers so qs is a non-zero integer.Consequently, pr/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.
