Which statement is true about the relationships between the number sets
Unfortunately, without specifying which number sets the question refers to, it's impossible to provide an accurate answer. Typically, a question like this might refer to sets like Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, and Real Numbers. If you provide the specific sets the question refers to, I would be more than happy to explain how they relate to one another.
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Which statement is true about the relationships between the number sets
Answers
Not all natural numbers are real numbers
Whole number include all natural numbers and 0
Some irrational numbers are also integers
All ration numbers are also integers
The correct answer is: "Whole numbers include all natural numbers and 0".
1. "Not all natural numbers are real numbers" is incorrect. All natural numbers are real numbers. Real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
2. "Some irrational numbers are also integers" is incorrect. By definition, irrational numbers cannot be expressed as a ratio of two integers, hence they can't be integers.
3. "All ration numbers are also integers" is incorrect. While integers can be considered rational numbers (since they can be expressed as a ratio, like 5/1), not all rational numbers are integers (for example, 1/2 is a rational number but not an integer).
Which of the following is true about -9?
Answers
It is an integer but not a whole number
It is both an integer and a whole number
It is an integer but not a ration number
It is a whole number but not a integer
The correct answer is: "It is an integer but not a whole number".
An integer is a whole number that can be either greater than 0 or less than 0. -9 fits this definition. However, by definition, whole numbers are non-negative and start from 0, going up. So -9 is not considered a whole number as it is negative.
To answer your question, I need more information about the number sets you are referring to. Are you referring to specific number sets such as natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers? Please provide more details so that I can provide an accurate response.
To determine which statement is true about the relationships between number sets, we need to understand the different types of number sets and their relationships. Here are five common number sets:
1. Natural Numbers (N): The set of positive integers starting from 1 (1, 2, 3, ...).
2. Whole Numbers (W): The set of non-negative integers including zero (0, 1, 2, 3, ...).
3. Integers (Z): The set of positive and negative whole numbers, including zero (...-3, -2, -1, 0, 1, 2, 3, ...).
4. Rational Numbers (Q): The set of numbers that can be expressed as a fraction or ratio of two integers (e.g., 1/2, -3/4, 5, etc.).
5. Real Numbers (R): The set of all numbers on the number line, including rational numbers and irrational numbers (e.g., π, √2, -5, 0.5, etc.).
Now, let's explore some possible statements about the relationships between these number sets to determine which one is true:
1. All natural numbers are whole numbers.
This statement is true because natural numbers (N) include zero and positive integers, which are also part of the whole numbers (W) set.
2. All whole numbers are integers.
This statement is true because whole numbers (W) include zero and positive integers, which are also part of the integers (Z) set.
3. All integers are rational numbers.
This statement is true because integers (Z) can be expressed as a fraction with a denominator of 1. Therefore, they can also be classified as rational numbers (Q).
4. All rational numbers are real numbers.
This statement is true because rational numbers (Q) can be represented on the number line, making them part of the real numbers (R) set.
5. All real numbers are rational numbers.
This statement is false because real numbers (R) include both rational and irrational numbers. Irrational numbers cannot be expressed as fractions or ratios of integers.
Therefore, the true statement about the relationships between number sets is: "All natural numbers are whole numbers."