Based on the analysis of the provided diagram, we can determine which number is both a rational number and an integer.
The diagram is a Venn diagram that illustrates the relationship between different sets of numbers:
- The largest circle represents
Rational numbers.
- Inside it is a smaller circle representing
Integers.
- Inside the integers circle is the smallest circle for
Whole numbers.
This structure visually demonstrates that:
- All
whole numbers are also
integers.
- All
integers are also
rational numbers.
Therefore, to find a number that is both a rational number and an integer, we need to identify a number that falls within the "Integers" circle.
Looking at the numbers placed in the diagram:
- The number
-107 is located inside the "Integers" circle.
- The numbers
3 1/6,
-66.5, and
27.25 are located in the "Rational numbers" circle but outside the "Integers" circle. This means they are rational numbers but not integers.
The question asks us to choose from the following options: -66.5, -107, 27.25, and 3 1/6.
By comparing the options with the diagram, we can see that
-107 is the only number that is explicitly placed within the "Integers" set. Since all integers are by definition also rational numbers, -107 satisfies both conditions.
The correct answer is
-107.
Parent Tip: Review the logic above to help your child master the concept of classifying rational numbers worksheet.
