20.Which of the following numbers could be described in the following way: an integer that is natural, rational and whole number?
I think the answer is B
A.0
B.1
C.2.33
D.-3
E.none of the above
you are correct
Sondra Khan
To determine which of the given numbers could be described as an integer that is natural, rational, and a whole number, we'll need to understand the definitions of these terms.
1. Natural numbers: These are the counting numbers (1, 2, 3, ...).
2. Whole numbers: These include the natural numbers and zero (0, 1, 2, 3, ...).
3. Rational numbers: These are numbers that can be expressed as a fraction, where both the numerator and denominator are integers.
Let's evaluate each option based on these definitions:
A. 0: This is a whole number, but it is not a natural number because it does not start at 1. However, it is rational because it can be written as the fraction 0/1.
B. 1: This is a natural number, a whole number, and also rational because it can be written as the fraction 1/1.
C. 2.33: This number is not an integer because it has a decimal part. Although it is a rational number because it can be expressed as the fraction 233/100, it does not fulfill the requirement of being a whole number.
D. -3: This number is an integer and also a whole number because it does not have a decimal part. It is also rational since it can be written as the fraction -3/1.
Based on the given options, the number that fits the description of being a natural, rational, and whole number is option B: 1.
To determine which of the given numbers could be described as an integer that is natural, rational, and a whole number, we need to understand the definitions of these terms:
1. Integer: An integer is a number that can be positive, negative, or zero, without any fractional or decimal parts.
2. Natural number: Natural numbers, also known as counting numbers, are positive integers starting from 1 and extending to infinity.
3. Rational number: A rational number is any number that can be expressed as a fraction p/q, where p and q are integers, and q is not equal to zero. This includes all integers because they can be expressed as fractions with a denominator of 1.
4. Whole number: Whole numbers are non-negative integers, including zero.
Let's evaluate each of the given options:
A. 0: This is an integer, whole number, and rational number, but it is not a natural number since natural numbers start from 1. So, option A does not meet all the given criteria.
B. 1: This is an integer, natural number, whole number, and rational number. It satisfies all the required conditions.
C. 2.33: This is a decimal number and not an integer. It does not meet the required criteria.
D. -3: This is an integer, whole number, and rational number, but it is not a natural number as natural numbers are positive. So, option D does not fulfill all the given conditions.
E. None of the above: This means that none of the previous options meet all the given criteria.
Based on our evaluation, only option B (1) satisfies all the conditions. Therefore, the correct answer is B.