To which subset(s) does the number –Start Root 25 End Root belong? Choose all that apply.
The number -√25 belongs to the subset of real numbers, as well as the subset of rational numbers.
The number –√25 belongs to the subset of real numbers.
To determine the subset(s) to which the number –√25 belongs, we need to understand what the different subsets of numbers are and check if the number falls into any of these categories.
1. Natural Numbers (N): These are the counting numbers, starting from 1 and going infinitely to the right (1, 2, 3, ...). However, –√25 is not a natural number because it is negative.
2. Whole Numbers (W): These are the natural numbers including zero (0, 1, 2, ...). Again, –√25 is not a whole number because it is negative.
3. Integers (Z): These are all the positive and negative whole numbers, including zero (..., -3, -2, -1, 0, 1, 2, 3, ...). Since –√25 is negative, it falls into the subset of integers.
4. Rational Numbers (Q): These are numbers that can be expressed as a fraction p/q, where p and q are integers, and q is not zero. However, –√25 cannot be expressed as a simple fraction, so it is not a rational number.
5. Real Numbers (R): This is a broad category that includes all rational and irrational numbers. Since –√25 is a real number, it falls into this subset.
Therefore, the number –√25 belongs to the subsets of integers (Z) and real numbers (R).