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Earn +20 ptsQ: Calculate the number p and q?
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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
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