Study guides

☆☆☆

Q: Is negative one over four a rational irrational or a real number?

Write your answer...

Submit

Still have questions?

Related questions

No it is rational ( all integers are rational)

4/5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

No because 4/3 is a rational number

Yes, it is.

The square root of 4 is a whole number, an integer, rational and real.

Yes - any integers, including negative integers, are rational numbers.

Integer, rational and irrational numner, real number

3/4 is classified as a rational number.

Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.

The given four numbers are all rational numbers

Yes, four is a rational number.

yes

-1,0,or 1 the negative square root of four is negative two and the square root of four is two

Sure, you are dividing an integer by another integer, so the result is rational by definition.

It is a rational number.

It cannot be closed under the four basic operations (addition, subtraction, multiplication, division) because it is indeed possible to come up with two negative irrational numbers such that their sum/difference/product/quotient is a rational number, indicating that the set is not closed. You will have to think of a different operation.

No. And it is not even an irrational number!

Yes - any number that can be expressed as a fraction (or ratio) is a rational number, even if that number is negative. Expressed as a proper fraction in its simplest form, -0.96 is equal to -24/25 or negative twenty-four twenty-fifths.

Some square roots of whole numbers are integers, some of them are irrational numbers. The square root of four for instance is a rational number, 2. The square root of two however is an irrational number, approximately 1.414211356.

-4 is a rational number because it can be expressed as an improper fraction in the form of -4/1

Yes, 3/4 is a rational number

Yes

Yes because any number that can be expressed as a fraction is a rational number

4.7 is already a rational number. If you mean as a mixed number, this is equal to 4 7/10 or four and seven tenths.

5/4 or five divided by four. A "rational" number is a number that can be written as a ratio or fraction.