Number systems are important in daily life for quantifying and comparing objects and values. They assign quantities to aspects of life, making comparisons easier. The natural number system includes whole numbers called integers, like 2, -7, and 6. Rational numbers are numbers in the form of m/n, where m is an integer and n is a non-zero integer. Real numbers include all rational and irrational numbers. Complex numbers are of the form a+ib, where a and b are real numbers.