Choose the number below that fits into ALL the following number sets:
Natural Number
Whole Number
Integer
A. - 5/8
B. 9π - 4π
C. 12
D. 6.4
C. 12
To find the number that fits into all the given sets (Natural Number, Whole Number, Integer), we need to determine the properties of each set and then check each option.
1. Natural Number: Natural numbers are the positive numbers starting from 1.
2. Whole Number: Whole numbers include all the natural numbers plus zero.
3. Integer: Integers include all the whole numbers plus their negatives.
Let's check each option:
A. -5/8: This option is not a natural number since natural numbers are positive. It is also not a whole number since it is not a positive number or zero. Lastly, -5/8 is not an integer since it is a fraction and not a whole number or its negative.
B. 9π - 4π: This option is not a natural number since natural numbers are positive integers. It is also not a whole number since it is not an integer or zero. Lastly, 9π - 4π is not an integer since it involves multiplication by π, which is not an integer.
C. 12: This option is a natural number since it is a positive integer. It is also a whole number, as it includes zero. Additionally, 12 is an integer since it does not involve any fractions or decimal points.
D. 6.4: This option is not a natural number since natural numbers are positive integers. It is not a whole number either since it is a decimal, not an integer or zero. Lastly, 6.4 is not an integer since it involves a decimal point.
Therefore, the number that fits into all the given sets (Natural Number, Whole Number, Integer) is option C: 12.
To determine which number fits into all the given sets (natural numbers, whole numbers, and integers), we need to understand what each set represents.
1. Natural numbers: These are the counting numbers - 1, 2, 3, 4, 5, ... up to infinity.
2. Whole numbers: Whole numbers include all the natural numbers along with zero - 0, 1, 2, 3, 4, 5, ... up to infinity.
3. Integers: Integers include all whole numbers and their negative counterparts (-1, -2, -3, -4, -5, ...).
Now, let's evaluate each option to determine which fits into all three sets:
A. - 5/8: This is a fraction and not a whole number or integer, so it does not fit into all the sets.
B. 9π - 4π: This represents a mathematical expression and not a specific number. Since we are looking for a single number, this option does not fit into all the sets.
C. 12: This is a whole number and consequently an integer. It also qualifies as a natural number because it is greater than zero. Therefore, it fits into all the sets.
D. 6.4: This number is a decimal and not a whole number or integer, so it does not fit into all the sets.
The number that fits into all the sets is option C: 12.