apply all number sets that apply to each number √25/5

Let's break down the number \(\frac{\sqrt{25}}{5}\).

1. \(\sqrt{25} = 5\), so \(\frac{\sqrt{25}}{5} = \frac{5}{5} = 1\).

Now that we have simplified the expression to \(1\), let's apply all the number sets that \(1\) belongs to:

### Number sets for \(1\):
1. **Natural Numbers (\(\mathbb{N}\))**: The set of positive integers starting from 1, i.e., \(\{1, 2, 3, \dots\}\). Since 1 is in this set, it qualifies as a natural number.
2. **Whole Numbers (\(\mathbb{W}\))**: The set of non-negative integers, i.e., \(\{0, 1, 2, \dots\}\). \(1\) is a whole number.
3. **Integers (\(\mathbb{Z}\))**: The set of all positive and negative whole numbers, including zero, i.e., \(\{\dots, -2, -1, 0, 1, 2, \dots\}\). \(1\) is an integer.
4. **Rational Numbers (\(\mathbb{Q}\))**: Any number that can be written as a fraction of two integers, where the denominator is not zero. Since \(1 = \frac{1}{1}\), it is a rational number.
5. **Real Numbers (\(\mathbb{R}\))**: The set of all numbers that can be represented on the number line, including both rational and irrational numbers. Since \(1\) is a rational number, it is also a real number.

### Summary:
The number \(1\) belongs to the following number sets:
1. Natural Numbers (\(\mathbb{N}\))
2. Whole Numbers (\(\mathbb{W}\))
3. Integers (\(\mathbb{Z}\))
4. Rational Numbers (\(\mathbb{Q}\))
5. Real Numbers (\(\mathbb{R}\))

Would you like more details or have any other questions?

Here are 5 questions to explore further:
1. What is the difference between rational and irrational numbers?
2. How do integers differ from whole numbers?
3. Can real numbers be imaginary?
4. What are complex numbers, and how do they differ from real numbers?
5. How is the square root of a number defined for negative values?

**Tip**: Any rational number is also a real number, but not all real numbers are rational (e.g., \(\pi\) and \(\sqrt{2}\) are irrational).

Learn how to simplify √25/5 and classify it into the appropriate number sets. This problem explores key concepts such as square roots, fraction simplification, and the classification of numbers into natural, whole, integers, rational, and real number sets. Suitable for students in Grades 6-8.

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