Name all the sets to which the number belongs
1.125
well, your choices are
natural numbers, whole numbers, integers, rationals, irrationals, reals
-5/3
To determine the sets to which the number 1.125 belongs, we need to consider different categories of numbers. Here are a few sets that number 1.125 belongs to:
1. Whole Numbers: Whole numbers are positive integers including zero. Since 1.125 is not an integer, it is not a member of this set.
2. Natural Numbers: Natural numbers are positive integers excluding zero. 1.125 does not belong to this set.
3. Rational Numbers: Rational numbers are numbers that can be expressed as fractions where the numerator and denominator are both integers. Since 1.125 can be written as the fraction 9/8, it is a rational number.
4. Real Numbers: Real numbers include all rational numbers (fractions) and irrational numbers (numbers that cannot be expressed as fractions). Since 1.125 is a rational number, it is also a real number.
5. Irrational Numbers: Irrational numbers cannot be expressed as fractions. Since 1.125 can be expressed as the fraction 9/8, it is not an irrational number.
6. Decimal Numbers: Decimal numbers are numbers that have decimal fractions. Since 1.125 has a decimal fraction, it is a decimal number.
7. Positive Numbers: Positive numbers are greater than zero. Since 1.125 is greater than zero, it is a positive number.
So, the sets to which the number 1.125 belongs are: Rational Numbers, Real Numbers, Decimal Numbers, and Positive Numbers.