This question is kind of vague.
Many of your everyday situations use the rational numbers (fractions and integers), which are a subset of real numbers.
If you do anything with angles (like surveying, or navigation) then irrational (which are still real) come into play.
There are situations when it's necessary to consider complex (a combination of real and imaginary) numbers. When dealing with waves or periodic motion, imaginary numbers become an important thing to consider.
Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.
No, not all numbers are real numbers. Real numbers include all rational and irrational numbers, but there are also complex numbers that are not considered real numbers.
Imaginary numbers are not real numbers.
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.
False. Irrational numbers are real numbers.