to which subsets of real numbers does the number -22 belong? Choose all that apply
The number -22 belongs to the following subsets of real numbers:
1. Integers: The set of all whole numbers and their negatives, including zero. -22 is an integer because it is a negative whole number.
2. Rational Numbers: The set of all numbers that can be expressed as a fraction or ratio of two integers, where the denominator is not zero. -22 can be expressed as -22/1, which is a fraction of two integers.
3. Real Numbers: The set of all rational and irrational numbers. -22 is a real number because it can be plotted on the number line.
The number -22 belongs to the following subsets of real numbers:
1. Integers: The number -22 is an integer because it is a whole number that can be negative.
2. Rational numbers: The number -22 can be expressed as the ratio of two integers (-22/1). Therefore, it is a rational number.
3. Real numbers: The number -22 is a real number because it can be plotted on the number line and it is not an imaginary number or undefined.
To determine the subsets of real numbers to which the number -22 belongs, we need to understand the various subsets of real numbers.
1. Natural Numbers (N): These are the positive integers starting from 1. Since -22 is negative, it does not belong to this subset.
2. Whole Numbers (W): These are the non-negative integers starting from 0. Since -22 is negative, it does not belong to this subset either.
3. Integers (Z): These include all positive and negative whole numbers, along with zero. Since -22 is a negative whole number, it belongs to this subset.
4. Rational Numbers (Q): These are numbers that can be written as fractions, where the numerator and denominator are integers (except for the denominator being zero). Since -22 can be written as -22/1, it is a rational number and belongs to this subset.
5. Irrational Numbers (I): These are numbers that cannot be expressed as fractions and have an infinite sequence of non-repeating decimals. -22 is not an irrational number because it can be expressed as a fraction, so it does not belong to this subset.
6. Real Numbers (R): This includes both rational and irrational numbers. Since -22 is a real number and also a rational number, it belongs to this subset.
Therefore, the subsets of real numbers to which the number -22 belongs are Integers (Z), Rational Numbers (Q), and Real Numbers (R).