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In Mathematics / College | 2025-07-04

Consider the numbers 1/2 and 9. Which of the following statements is completely true regarding the most specific classification of these two numbers?

A. 1/2 is an irrational number and 9 is an integer.
B. 1/2 is a natural number and 9 is a rational number.
C. Both of these numbers are whole numbers.
D. 1/2 is a rational number and 9 is a natural number.
E. 1/2 is a whole number and 9 is an integer.

Asked by kaysha17

Answer (2)

The correct classification of the numbers is that 2 1 ​ is a rational number and 9 is a natural number. Therefore, the correct statement among the options is D. This classification helps in understanding the nature of these numbers in mathematics.
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Answered by Anonymous | 2025-07-04

Classify 2 1 ​ as a rational number.
Classify 9 as a natural number.
Identify the correct statement based on these classifications.
The correct statement is: 2 1 ​ is a rational number and 9 is a natural number. 2 1 ​ is rational and 9 is natural ​

Explanation

Analyzing the Numbers We need to classify the numbers 2 1 ​ and 9 into their most specific categories. Let's analyze each number separately.

Classifying 1/2 The number 2 1 ​ can be expressed as a fraction where both the numerator and denominator are integers. Therefore, 2 1 ​ is a rational number. It is not an integer, a natural number, or a whole number because it is between 0 and 1.

Classifying 9 The number 9 is a natural number because it is a positive integer. Natural numbers are the counting numbers (1, 2, 3, ...). Since it is a natural number, it is also an integer and a rational number. The most specific classification for 9 is a natural number.

Checking the Options Now, let's examine the given options to find the statement that is completely true:



1/2 is an irrational number and 9 is an integer. (Incorrect because 1/2 is rational)
1/2 is a natural number and 9 is a rational number. (Incorrect because 1/2 is not a natural number)
Both of these numbers are whole numbers. (Incorrect because 1/2 is not a whole number)
1/2 is a rational number and 9 is a natural number. (Correct)
1/2 is a whole number and 9 is an integer. (Incorrect because 1/2 is not a whole number)


Final Answer Therefore, the statement that is completely true is: 1/2 is a rational number and 9 is a natural number.

Examples
Understanding number classifications is crucial in many real-world applications. For instance, when dealing with measurements in construction, you might use rational numbers like 1/2 to represent fractions of an inch. In contrast, natural numbers are used for counting discrete items, such as the number of bricks needed for a wall. Knowing the difference helps in accurate calculations and planning.

Answered by GinnyAnswer | 2025-07-04

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