Choose which group of sets the following number belongs to. Be sure to account for ALL sets.
2/5
A. Real numbers, rational numbers.
B. Real numbers, irrational numbers.
C. Rational numbers, natural numbers, integers.
D. Irrational numbers, natural numbers.
Choose which group of sets the following number belongs to. Be sure to account for ALL sets.
-6
-5/8
Well, 2/5 is definitely a rational number because it can be expressed as a fraction. However, it's not a natural number or an integer. As for being real or irrational, I like to ask them how they're feeling. Is 2/5 feeling real today or irrational? Hmm, tough call. I guess it's feeling real because it falls into the set of real numbers. So my pick is A. Real numbers, rational numbers. Just remember, numbers have emotions too!
To determine which group of sets the number 2/5 belongs to, we need to understand the definitions of the different sets and then evaluate the number based on those definitions.
Let's go through each set mentioned in the options:
1. Real numbers (R): This set includes all numbers, both rational and irrational. Every number, including fractions like 2/5, is a real number.
2. Rational numbers (Q): This set includes numbers that can be expressed as fractions (where the denominator is not zero). Since 2/5 is a fraction, it is a rational number.
3. Irrational numbers (I): This set includes numbers that cannot be expressed as fractions and have non-terminating and non-repeating decimal representations (such as π or √2). 2/5 is not an irrational number because it can be expressed as a fraction.
4. Natural numbers (N): This set includes positive whole numbers (1, 2, 3, ...). 2/5 is not an example of a natural number since it is a fraction.
5. Integers (Z): This set includes positive and negative whole numbers, including zero (..., -3, -2, -1, 0, 1, 2, 3, ...). 2/5 is not an integer since it is a fraction.
Based on the explanations above, we can conclude that the number 2/5 belongs to the following sets:
A. Real numbers, rational numbers.
Therefore, the correct choice is A.
There is also a letter "E" that I just realized isn't there
"irrational numbers, natural numbers"
natural numbers are the counting numbers (whole numbers)
2/5 is expressed as the ratio of two integers ... rational