6 of 76 of 7 Items
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Question
The diagram represents the relationship of number sets. The four choices given will complete the diagram. Which BEST describes the set of numbers in block A?
Responses
A IntegersIntegers
B Whole NumbersWhole Numbers
C Natural NumbersNatural Numbers
D Rational NumbersRational Numbers
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The diagram is not provided in the question, so it is impossible to determine the best answer without seeing the diagram.
To determine the set of numbers in block A, we need to understand the characteristics of each number set.
A. Integers: Integers include all positive and negative whole numbers, as well as zero.
B. Whole Numbers: Whole numbers include all positive integers and zero.
C. Natural Numbers: Natural numbers include all positive integers greater than zero.
D. Rational Numbers: Rational numbers include all numbers that can be expressed as a fraction or ratio of two integers.
Based on the given options, the BEST description for the set of numbers in block A would be:
A. Integers
To determine the best choice that describes the set of numbers in block A, you need to understand the different sets of numbers mentioned in the given choices and their relationships.
Let's break down each set of numbers:
1. Integers: Integers include all positive and negative whole numbers and zero. In mathematical notation, it can be represented as {..., -3, -2, -1, 0, 1, 2, 3, ...}.
2. Whole Numbers: Whole numbers include all positive whole numbers and zero, but they do not include negative numbers. In mathematical notation, it can be represented as {0, 1, 2, 3, ...}.
3. Natural Numbers: Natural numbers include all positive whole numbers. In mathematical notation, it can be represented as {1, 2, 3, ...}.
4. Rational Numbers: Rational numbers include all numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Rational numbers can be negative or positive and include both integers and fractions.
Based on the given information in the diagram, the set of numbers in block A contains 6 out of 76 items. This implies that the number set in block A is a subset of a larger set (76 items).
Looking at the choices, the set of integers, whole numbers, and natural numbers cannot be subsets of a larger set with 76 items since they have infinite members.
The set of rational numbers, on the other hand, can have a finite or infinite number of members, and it can certainly be a subset of a larger set containing 76 items. Therefore, the BEST choice to describe the set of numbers in block A would be D: Rational Numbers.