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Calculate the number p and q?
p/q form of the number is 0.3 is: (A) (B)
What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
If a divided b equals 1 and a plus b equals q then how large is ab?
a/b = 1 so a = b. Then a b = q implies that a = b = q/2 So ab = (q/2)*(q/2) = q2/4
Is it possible to divide one rational number by another to obtain an irrational number as a quotient?
No. Rational numbers are defined as fractions of whole numbers. Suppose we have two rational numbers A = m/n and B = p/q. Then their quotient is defined as A/B = (m*q) / (n*p). Since m,n,p and q are whole, the products m*q and n*p are whole as well, making A/B a rational number.
Prove that if a and b are rational numbers then a multiplied by b is a rational number?
If a is rational then there exist integers p and q such that a = p/q where q>0. Similarly, b = r/s for some integers r and s (s>0) Then a*b = p/q * r/s = (p*r)/(q*s) Now, since p, q r and s are integers, p*r and q*s are integers. Also, q and s > 0 means that q*s > 0 Thus a*b can be expressed as x/y where p and r are integers implies that x = p*r is an integer q and s are positive integers implies that y = q*s is a positive integer. That is, a*b is rational.
Calculate the number p and q?
p/q form of the number is 0.3 is: (A) (B)
What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
What are the notes for jingle bell for alt sax?
Q= Quarter note, H= Half note, FL= Full note, |= end of bar 4 E-Q E-Q E-H | E-Q E-Q E-H | E-Q G-Q C-Q D-Q | E-FL | F-Q F-Q F-Q F-Q | F-Q E-Q E-H 4------------------------------------------------------------------------------------------------------- E-Q D-Q D-Q E-Q | D-H G-H | E-Q E-Q E-H | E-Q E-Q E-H | E-Q G-Q C-Q D-Q | E-FL | -------------------------------------------------------------------------------------------------------- F-Q F-Q F-Q F-Q | F-Q E-Q E-H | G-Q G-Q F-Q D-Q | C-FL |
If B is between P and Q?
If B is between P and Q, then: P<B<Q
If a divided b equals 1 and a plus b equals q then how large is ab?
a/b = 1 so a = b. Then a b = q implies that a = b = q/2 So ab = (q/2)*(q/2) = q2/4
What is 2.7 in the real number system?
The number 2.7 is defined by the Dedekind cut.The Dedekind cut for any real number divides the set of rational numbers, Q, into two disjoint sets: set A which consists of all number less than the given number (2.7) and set B, which is the complement of A in Q. If the set B has a minimum then that number is the minimum of set B. If not then the number is the real number that is not in A nor in B.For all rational numbers B has a minimum. So in this case, the number is the Dedekind cut defined by the set B = {x | x in Q, x not < 2.7}
Is it possible to divide one rational number by another to obtain an irrational number as a quotient?
No. Rational numbers are defined as fractions of whole numbers. Suppose we have two rational numbers A = m/n and B = p/q. Then their quotient is defined as A/B = (m*q) / (n*p). Since m,n,p and q are whole, the products m*q and n*p are whole as well, making A/B a rational number.
How Do You Play Somerset Overture On Flute?
I can tell you up to measure nine.Q-Quarter Note SOMERSET OVERTUREH-Half NoteOkay, here it goes, Q-E(FLAT) Q-F Q-G Q-E(FLAT) Q-F Q-B(FLAT) Q-B(FLAT) H-F Q-GQ-A(FLAT) Q-B(HIGH B FLAT) Q-G Q-A(FLAT) Q-G Q-F Q-E(FLAT) H-F Q-E(FLAT) Q-F Q-GQ-E(FLAT) Q-F Q-G Q-A(FLAT) Q-F Q-F Q-B(HIGH B FLAT) Q-B(HIGH B FLAT) Q-B(HIGH B FLAT)Q-A(FLAT) Q-G Q-F E FLAT(FULL NOTE)I know this is a little complicated to read, but it is the best I can do.My account is Elissa123 if you would like the whole song in this^ form.
What is the basic differences between full adder and half adder?
Number of input bits. Half adder: (Cout,Q) := A+B Full adder: (Cout,Q) := A+B+Cin
Write the function in form Upper Q equals a b Superscript t Baseline Number and Give the values of the constants a and b Baseline Number for Q equals 8 times 2 Superscript t times 7 Superscript t?
a = 8, b = 14.
Prove that if a and b are rational numbers then a multiplied by b is a rational number?
If a is rational then there exist integers p and q such that a = p/q where q>0. Similarly, b = r/s for some integers r and s (s>0) Then a*b = p/q * r/s = (p*r)/(q*s) Now, since p, q r and s are integers, p*r and q*s are integers. Also, q and s > 0 means that q*s > 0 Thus a*b can be expressed as x/y where p and r are integers implies that x = p*r is an integer q and s are positive integers implies that y = q*s is a positive integer. That is, a*b is rational.
How do we find an irrational number between two rational numbers?
If a and b are rational, with a < b, then a + (b-a) [sqrt(2)/ 2] is an irrational number between a and b. This number is between a and b because sqrt(2)/2 is less than one and positive, so that a < a + (b-a) [sqrt(2)/3] < a + (b-a) [1] = b. To prove that a + (b-a) [sqrt(2)/2] is not rational, suppose that a + (b-a) [sqrt(2)/2] = p/q where p and q are integers. Then, sqrt(2) = ( p/q -a ) 2/(b-a) which is rational since the rationals are a field, closed under arithmetical operation, but sqrt(2) not rational
