The only number that satisfies the criteria of being a natural number is 5. Therefore, the correct answer is B. 5.
Identify the given information
The diagram shows that rational numbers are divided into two subsets: integers and irrational numbers. Integers, in turn, are further divided into natural numbers.
Understand the definitions
Rational numbers: Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. Examples include 1/2, 3/4, and -5/7.
Integers: Integers are whole numbers, including positive and negative numbers, but not including fractions or decimals. Examples include 0, 5, -2, and 10.
Natural numbers: Natural numbers are a subset of integers that includes only positive integers starting from 1. Examples include 1, 2, 3, and 100.
Analyze the Venn diagram
The Venn diagram clearly indicates that natural numbers are a subset of integers, which in turn are a subset of rational numbers. This implies that any number that belongs to the natural number section must also belong to the integer section and the rational number section.
the completed question:
The relationships between sets of rational numbers are pictured in this Venn diagram:
Rational numbers
/ \
Integers Irrational numbers
| |
Natural numbers
Which of the following numbers could be placed in the natural number section?
A. 0
B. 5
C. -5
D. 1/2
The correct answer is B. 5.