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What statements is true p is and integer and q is a nonzero integer?

If ( p ) is an integer and ( q ) is a nonzero integer, then the expression ( \frac{p}{q} ) will always yield a rational number. Additionally, since ( q ) is nonzero, ( p ) cannot be divided by zero, ensuring the division is valid. Furthermore, ( p + q ) will also be an integer, as the sum of two integers is always an integer.


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.


Is it true if p is an integer and q is a nonzero integer?

Yes, it is true that if ( p ) is an integer and ( q ) is a nonzero integer, then ( p ) can take any whole number value, including positive, negative, or zero, while ( q ) cannot be zero and must be a whole number either positive or negative. This distinction is important in mathematical contexts where division by zero is undefined.


Are all integers rational?

Yes, all integers are rational.Yes.Rational numbers are those numbers which can be expressed in the form (p/q) where 'q' is not equal to 0.since 'q' can be 1, every integer can be expressed in this form and hence is a rational number.For example, the integer 3 can be expressed as 3/1 which is of the (p/q) form.


What is an example of a situation in which it is appropriate to use a rational number but not an integer?

When the number can be expressed as a ratio of the form p/q where p and q are integers and in their simplest form, q >1.

Related Questions

if p is an p integer and q is a nonzero integer?

if p is an integer and q is a nonzero integer


What statement is true if P is an Integer and Q is a nonzero integer?

Any fraction p/q where p is an integer and q is a non-zero integer is rational.


Which of the following statements is true if p is an integer and q is a nonzero integer?

Then p/q is a rational number.


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.


What statement is true if p is an integer and q is a nonzero integer fraction?

Any fraction p/q where p is an integer and q is a non-zero integer is rational.


Why doesn't prime factorization work on addition?

This is because a factor is defined in terms of multiplication, not addition. One integer, p, is a factor of another integer, q, if there is some integer, r (which is not equal to 1) such that p*r = q.


Is it true if p is an integer and q is a nonzero integer?

Yes, it is true that if ( p ) is an integer and ( q ) is a nonzero integer, then ( p ) can take any whole number value, including positive, negative, or zero, while ( q ) cannot be zero and must be a whole number either positive or negative. This distinction is important in mathematical contexts where division by zero is undefined.


Why is there sometimes a remainder in division?

Because sometimes there will be things leftover and you can't split it all up in the question.


Meaning of non-integer rational numbers?

non integer rational numbers means the numbers in p/q form and this value is not a perfect integer. ex: 22/7


Are all integers rational?

Yes, all integers are rational.Yes.Rational numbers are those numbers which can be expressed in the form (p/q) where 'q' is not equal to 0.since 'q' can be 1, every integer can be expressed in this form and hence is a rational number.For example, the integer 3 can be expressed as 3/1 which is of the (p/q) form.


Given that p is an integer q -12 and the quotient of p q is -3 find p.?

If: q = -12 and p/q = -3 Then: p = 36 because 36/-12 = -3


How do you know if a number is irrational?

Let Q be all the rational numbers, where Q={m/n:m is an integer and n is a natural}Every number does not belong to Q is irrational.