The Number System Unit Test
1 of 151 of 15 Items
Question
Which statement is true about the relationships between the number sets?(1 point)
Responses
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
All rational numbers are also integers.
All rational numbers are also integers.
Some irrational numbers are also integers.
Some irrational numbers are also integers.
Not all natural numbers are real numbers. answer for questions 1 through 15
The correct statement is: Whole numbers include all natural numbers and 0.
The correct statement about the relationships between the number sets is:
Whole numbers include all natural numbers and 0.
To determine which statement is true about the relationships between the number sets, we can analyze each option one by one.
1. Whole numbers include all natural numbers and 0.
This statement is true. Whole numbers are a set of numbers that includes all the natural numbers (positive numbers starting from 1) and zero.
2. All rational numbers are also integers.
This statement is not true. Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. Integers, on the other hand, include both positive and negative whole numbers (including zero). So, while all integers are rational numbers, not all rational numbers are integers.
3. Some irrational numbers are also integers.
This statement is not true. Irrational numbers are numbers that cannot be expressed as a fraction, nor can their decimal representation terminate or repeat. Integers, as mentioned earlier, are whole numbers (including zero) and their negatives. There is no overlap between the irrational numbers and integers.
4. Not all natural numbers are real numbers.
This statement is not true. Natural numbers are a set of positive integers starting from 1. Real numbers, on the other hand, include both rational and irrational numbers. Since rational numbers include integers, all natural numbers are also real numbers.
Based on the explanations provided, the correct statement is: "Whole numbers include all natural numbers and 0."