Math Problem Statement
Where should √225 be placed in the Venn diagram?
Solution
Let's analyze the problem and the diagram to correctly place in the Venn diagram.
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Find : So, the number we are dealing with is 15.
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Classify 15:
- Natural Number: Natural numbers are the set of positive whole numbers starting from 1 (i.e., 1, 2, 3, …). Since 15 is a positive whole number, it is a natural number.
- Whole Number: Whole numbers include all natural numbers and 0 (i.e., 0, 1, 2, …). Therefore, 15 is also a whole number.
- Integer: Integers include all whole numbers and their negative counterparts (i.e., ..., -3, -2, -1, 0, 1, 2, 3, …). Hence, 15 is an integer.
- Rational Number: Rational numbers are numbers that can be expressed as a fraction of two integers. Since 15 can be written as , it is a rational number.
Conclusion: The correct placement of should be in:
- A Rational Number (since 15 is rational).
- B Integers (since 15 is an integer).
- C Whole Numbers (since 15 is a whole number).
- D Natural Numbers (since 15 is a natural number).
Correct Answer: D Natural Numbers (since this is the most specific classification).
Would you like further details or have any questions?
Related questions:
- What other numbers belong to the natural number set?
- Can all whole numbers be classified as rational numbers?
- What is the distinction between rational and irrational numbers?
- How does the set of integers differ from the set of whole numbers?
- What is an example of a number that is irrational?
Tip: To determine where a number belongs in a classification, always break it down to its simplest form and compare it against the definitions of number sets.
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Math Problem Analysis
Mathematical Concepts
Number Sets
Square Roots
Classification of Numbers
Formulas
√225 = 15
Theorems
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Suitable Grade Level
Grades 6-8