Yes. Real numbers include positive and negative numbers, integers and fractions, rational and Irrational Numbers.
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The product of nine negative real numbers is a negative real number.
Yes, the square root of 3 is a real number. (It is not imaginary. The square root of a negative number is imaginary.) The square root of 3 is not a rational number. It cannot be written as a fraction.
Yes, a fraction can be negative, e.g., -4/3, -2/5, etc.
Any type of fraction is always a rational number.
Oh, what a happy little question! You see, when comparing a fraction to a negative number, it all depends on the values involved. Sometimes a fraction can be greater than a negative number, and sometimes it can be less. Just remember to embrace the beauty of math and let the numbers dance together in harmony.