Math Problem Statement

Where should √225 be placed in the Venn diagram?

Solution

Let's analyze the problem and the diagram to correctly place 225\sqrt{225} in the Venn diagram.

  1. Find 225\sqrt{225}: 225=15\sqrt{225} = 15 So, the number we are dealing with is 15.

  2. 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 151\frac{15}{1}, it is a rational number.

Conclusion: The correct placement of 225=15\sqrt{225} = 15 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:

  1. What other numbers belong to the natural number set?
  2. Can all whole numbers be classified as rational numbers?
  3. What is the distinction between rational and irrational numbers?
  4. How does the set of integers differ from the set of whole numbers?
  5. 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