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There is absolutely no reason why the ratios P and Q should be equal!
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A rational number is a number that can be written as a what?
ratio of two integers, p/q where q is not equal to zero.
How does every rational number have an additive inverse?
By definition, every rational number x can be expressed as a ratio p/q where p and q are integers and q is not zero. Consider -p/q. Then by the properties of integers, -p is an integer and is the additive inverse of p. Therefore p + (-p) = 0Then p/q + (-p/q) = [p + (-p)] /q = 0/q.Also, -p/q is a ratio of two integers, with q non-zero and so -p/q is also a rational number. That is, -p/q is the additive inverse of x, expressed as a ratio.
How do you express a numbers a ratio of two integers?
The ratio of two integers, p and q where q is not 0, can be expressed as p:q or p/q.
Which part of the trinomial will equal the product of p and q?
The answer depends on what p and q are!
A rational number is a number that can be represented by a?
As a ratio of two integers in the form p/q where q > 0.
Can we connect rheostate insetad of p and q in Carey foster bridge?
Yes, but the ratio of P and Q should be kept equal.
A rational number is a number that can be written as a what?
ratio of two integers, p/q where q is not equal to zero.
How does every rational number have an additive inverse?
By definition, every rational number x can be expressed as a ratio p/q where p and q are integers and q is not zero. Consider -p/q. Then by the properties of integers, -p is an integer and is the additive inverse of p. Therefore p + (-p) = 0Then p/q + (-p/q) = [p + (-p)] /q = 0/q.Also, -p/q is a ratio of two integers, with q non-zero and so -p/q is also a rational number. That is, -p/q is the additive inverse of x, expressed as a ratio.
How do you express a numbers a ratio of two integers?
The ratio of two integers, p and q where q is not 0, can be expressed as p:q or p/q.
Ask us anythingA rational number is a number that can be written as a .?
fraction, a ratio of two integers p/q where q is not equal to zero.
What is the equivalent ratio?
Given one ratio, p/q, you will obtain an equivalent ratio if you multiply p and q by any non-zero integer.
What is the theory of kelvin's double bridge experiment?
Theory: - Kelvin's bridge is a modification of whetstone's bridge and always used in measurement of low resistance. It uses two sets of ratio arms and the four terminal resistances for the low resistance consider the ckt. As shown in fig. The first set of ratio P and Q. The second set of ratio arms are p and q is used to connected to galvanometer to a pt d at an Approx. potential between points m and n to eliminate the effects of connecting lead of resistance r between the known std. resistance 's' and unknown resistance R .The ratio P/Q is made equal to p/q. under balanced condition there is no current flowing through galvanometer which means voltage drop between a and b, Eab equal to the voltage drop between a and c, Eamd. Now Ead=P/P+Q ; Eab=I[R+S+[(p+q)r/p+q+r]] ------------(1) Eamd= I[R+ p/p+q[ (p+q)r/p+q+r]] ---------------------(2) For zero deflection->Eac=Ead [ P/P+Q]I[R+S+{(p+q)r/p+q+r}]=I[R+pr/p+q+r] ----(3) Now, if P/Q=p/q Then equation… (3) becomes R=P/Q=S ------------------------------------------------------(4) Equation (4) is the usual working equation. For the Kelvin's Double Bridge .It indicates the resistance of connecting lead r. It has no effect on measurement provided that the two sets of ratio arms have equal ratios. Equation (3) is useful however as it shows the error that is introduced in case the ratios are not exactly equal. It indicates that it is desirable to keep r as small as possible in order to minimize the error in case there is a diff. between the ratio P/Q and p/q. R=P/QS
What is the proper fraction?
A proper fraction is a ratio in the form p/q where p and q are integers and q>0.
What is a comparative operator?
Comparative operators are used to compare the logical value of one object with another and thus establish the rank (ordering) of those objects. There are six comparative operators in total: p<q : evaluates true when p is less than q p>q : evaluates true when p is greater than q p<=q : evaluates true when p is less than or equal to q p>=q : evaluates true when p is greater than or equal to q p!=q : evaluates true when p is not equal to q p==q : evaluates true when p is equal to q
Which part of the trinomial will equal the product of p and q?
The answer depends on what p and q are!
What type of operator can be used to determine whether a specific relationship that exists between two values?
The relational operators: ==, !=, =.p == q; // evaluates true if the value of p and q are equal, false otherwise.p != q; // evaluates true of the value of p and q are not equal, false otherwise.p < q; // evaluates true if the value of p is less than q, false otherwise.p q; // evaluates true if the value of p is greater than q, false otherwise.p >= q; // evaluates true of the value of p is greater than or equal to q, false otherwiseNote that all of these expressions can be expressed logically in terms of the less than operator alone:p == q is the same as NOT (p < q) AND NOT (q < p)p != q is the same as (p < q) OR (q < p)p < q is the same as p < q (obviously)p q is the same as (q < p)p >= q is the same as NOT (p < q)
What type of numbers cannot be written as a fraction pq where p and q are integers and q is not equal to zero?
Irrational numbers, such as √2 or π, cannot be written as a fraction pq where p and q are integers and q is not equal to zero. These numbers cannot be expressed as a ratio of two integers and are non-repeating and non-terminating decimals.
