Choose the number below that fits into the following number sets:
Natural Number
Whole Number
Integer
Responses
−35
negative 3 fifths
π
pi
8
8
5.3
8
Natural Number: 8
Whole Number: 8
Integer: -35
-35 is a natural number, a whole number, and an integer.
To determine which number fits into each number set, let's go through each set one by one.
1. Natural Number: Natural numbers are the counting numbers, starting from 1 and going to infinity. We can see that 8 is a counting number, so it fits into the set of natural numbers.
2. Whole Number: Whole numbers include zero and all the natural numbers. Since 8 is a whole number, it fits into this set as well.
3. Integer: Integers are made up of zero, the natural numbers, and their negative counterparts. We can see that -35 is a negative number, so it fits into the set of integers.
4. Rational Number: Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. Here, the number "negative 3 fifths" can be written as -3/5, which is a fraction. So, it fits into the set of rational numbers.
5. Irrational Number: Irrational numbers are numbers that cannot be expressed as a fraction and have non-repeating decimal representations. The number π (pi) is one such example. Pi is an irrational number, so it fits into this set.
Considering the options provided, we have:
- Natural Number: 8
- Whole Number: 8
- Integer: -35
- Rational Number: -3/5
- Irrational Number: π (pi)
I hope this helps! Let me know if you have any further questions.