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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.
What type of number can be written as a fraction p over q where p and q are integers and q is not equal to zero?
a rational number
Two numbers have the sum of 53 If one number is q express the other number in terms of q?
Assume the two numbers are P & Q, the equation is P + Q = 53, rearranging this gives Q = 53 - P
What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
What is the relationship between the values p and q plotted on the number line below?
p=q
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.
What is rational numbers but not integer?
A rational number is any number of the form p/q where p and q are integers and q is not zero. If p and q are co=prime, then p/q will be rational but will not be an integer.
Why set of rational number is denoted by q?
In number systems Rational number is not represented just by q . they are represented in the form of p and q . P/q is rational number where q is not equal to zero.
What type of number can be written as a fraction p over q where p and q are integers and q is not equal to zero?
a rational number
Why does multiplication or division with a negative number yield a negative answer?
The assertion in the question is not always true. Multiplying (or dividing) 0 by a negative number does not yields 0, not a negative answer.Leaving that blunder aside, let p and q be positive numbers so that p*q is a positive number.Thenp*q + p*(-q) = p*[q + (-q)] = p*[q - q] = p*0 = 0that is p*q + p*(-q) = 0Thus p*(-q) is the additive opposite of p*q, and so, since p*q is positive, p*(-q) must be negative.A similar argument works for division.
What type of number can be written as a fraction as p over q where p and q are integers and q is not equal to 0?
a rational number
How to calculate total value of a public good?
Q=3-P Q=7-P If Q is a private good, MC=8, how much is optimal?
What is Difference between a rational number and irrational number?
A rational number can be expressed as a ratio in the form, p/q, where p and q are integers and q > 0.
Two numbers have the sum of 53 If one number is q express the other number in terms of q?
Assume the two numbers are P & Q, the equation is P + Q = 53, rearranging this gives Q = 53 - P
How do you divide with rational numbers?
If x is a rational number, then x = p/q where p and q are integers and q is non-zero.If division by x is defined, then x cannot be zero so that p is also non-zero.Then, to divide any number by x = p/q, simply multiply the number by q/p.
What type of number can be written as a fraction p divided by q where p and q are integers and q is not equal to zero?
Any rational number (by definition).
How do you add and subtract rational numbers?
A rational number is a number of the form p/q where p and q are integers and q > 0.If p/q and r/s are two rational numbers thenp/q + r/s = (p*s + q*r) / (q*r)andp/q - r/s = (p*s - q*r) / (q*r)The answers may need simplification.
