Which subset of real numbers does -17/20 belong to?
im having a hard time figuring this out
, a rational number is a number that can be expressed as the quotient or fraction
p
/
q
of two integers, a numerator p and a non-zero denominator q.
So set of rationak numbers
this didn't help me. i still don't understand
To determine which subset of real numbers -17/20 belongs to, we need to examine its value in relation to different subsets.
The subsets of real numbers include:
1. Natural numbers (N): Positive integers starting from 1 [1, 2, 3, ...].
2. Whole numbers (W): Non-negative integers including zero [0, 1, 2, 3, ...].
3. Integers (Z): Both positive and negative whole numbers [..., -3, -2, -1, 0, 1, 2, 3, ...].
4. Rational numbers (Q): Numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero.
5. Irrational numbers (I): Non-repeating and non-terminating decimals, such as √2 or π.
6. Real numbers (R): The combination of rational and irrational numbers.
The value -17/20 represents a rational number since it can be expressed as a fraction. To determine which subset of rational numbers it belongs to, we need to check if it is an integer.
Since -17/20 is not an integer (as it does not represent a whole number), it belongs to the subset of rational numbers (Q), but not the subset of integers (Z).