Choose the number below that fits into ALL the following number sets:
Natural Number
Whole Number
Integer
Responses
9π−4π
9 pi minus 4 pi
12
12
−58
negative 5 eighths
6.4
The number that fits into all the following number sets is 12.
Out of the given options, the number that fits into all the provided number sets is 12.
Here's how each number set is defined:
1. Natural Numbers: These are the numbers starting from 1 and going up infinitely (1, 2, 3, 4, ...). Since 12 is a positive whole number, it also fits into the set of natural numbers.
2. Whole Numbers: These include all the natural numbers along with zero (0, 1, 2, 3, ...). As 12 is a positive whole number, it falls into this set as well.
3. Integers: These include all the positive and negative whole numbers along with zero (-∞, ..., -3, -2, -1, 0, 1, 2, 3, ..., +∞). -58 is a negative whole number, so it is an integer. However, 12 is also an integer as it is a positive whole number.
Therefore, the number 12 fits into all the provided number sets.
To determine the number that fits into all the given number sets, we need to examine the properties of each set.
1. Natural Numbers: These are the counting numbers starting from 1 (1, 2, 3, 4, ...). These numbers are positive integers.
2. Whole Numbers: These include both zero and the natural numbers (0, 1, 2, 3, 4, ...). They are also positive integers.
3. Integers: These include all positive and negative whole numbers, including zero and their negatives (...-3, -2, -1, 0, 1, 2, 3, ...).
Now, let's analyze each option:
- 9π−4π: This expression represents a difference of two multiples of pi. It is not a natural number, whole number, or integer because it involves a fractional part (π).
- 12: This number is a natural number, a whole number, and an integer since it is a positive integer.
- -58: This number is an integer but not a natural number or whole number since it is a negative integer.
- 6.4: This number is not a natural number, whole number, or integer because it has a decimal part.
Based on the characteristics of the given number sets, the number that fits into all of them is **12**.