You don't have to look or travel far. They're always with you, right there in the
wonderful world of your imagination, ready to be called whenever you want them.
Just take a pencil and a scrap of paper and write down some digits. Write as many
or as few digits as you want, and if you're feeling a bit naughty or adventurous, add
a decimal point or a fraction bar to the mix. As long as you use only digits, with no
symbols, roots, or powers, the number you write down is a real, rational number,
and it was right there with you, all the time. There's no place like home.
Yes. Numbers go on forever.
Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.
243, 81, 9, 3
All rational numbers are real numbers.
No, not all. All numbers are Real Numbers. * * * * * All numbers are not real numbers: there are complex numbers and others. Also, all real number are not whole numbers. sqrt(2) or pi, for example are real numbers but not whole numbers.
real numbers
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
No. Natural numbers are a proper subset of real numbers.
Real Numbers cannot be the square root of a negative number. Real Numbers are not divided by zero. Basically, Real Numbers cannot be anything that is undefined.
Yes, -1 and 1 are real numbers. Real numbers consist of irrational numbers, rational numbers and integers.
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
It certainly can! All irrational numbers (numbers that can't be written as fractions, and in decimal form go endlessly without a pattern) are real (not divided by zero and not connected to the square root of a negative number).