Choose the number below that fits into the following number sets:
Natural Number
Whole Number
Integer
Responses
5.3
5.3
−35
negative 3 fifths
π
pi
8
8
The number 8 fits into the following number sets:
Natural Number: As 8 is a positive whole number, it is a natural number.
Whole Number: 8 is a positive integer, so it is a whole number as well.
Integer: Since 8 does not have any fractional or decimal parts, it is an integer.
Therefore, 8 is the number that fits into all three sets.
To find the number that fits into each number set, let's go step by step:
1) Natural Number: Natural numbers are the counting numbers starting from 1 and going up infinitely. The number 8 is a natural number because it is a positive whole number.
2) Whole Number: Whole numbers are similar to natural numbers, but they also include the number 0. The number 8 is also a whole number because it is a positive integer and includes 0.
3) Integer: Integers include both positive and negative whole numbers, as well as zero. So, we can consider -35 as an integer because it is a negative whole number.
4) Rational Number: Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. 5.3 can be written as 53/10, so it is a rational number.
5) Irrational Number: Irrational numbers cannot be expressed as a fraction or ratio of two integers. π (pi) is an example of an irrational number and it does not fit into any of the previous sets.
So, the number that fits into all the given number sets is 8.