(ii) A number greater than 4

Points to Remember:

  • The question requires identifying numbers greater than 4.
  • The approach is factual, focusing on mathematical definition and examples.

Introduction:

The question asks to identify numbers greater than 4. This is a fundamental concept in mathematics. A number is a mathematical object used to count, measure, and label. The set of numbers extends infinitely in both positive and negative directions. The question focuses on the subset of numbers exceeding the value of 4.

Body:

Defining Numbers Greater Than 4:

A number is considered “greater than 4” if it lies to the right of 4 on a number line. This means it has a higher numerical value. This includes integers (whole numbers), rational numbers (fractions and decimals), and irrational numbers (numbers that cannot be expressed as a fraction, like π).

Examples of Numbers Greater Than 4:

  • Integers: 5, 6, 7, 8, 9, 10, 100, 1000, etc. These are whole numbers greater than 4.
  • Rational Numbers: 4.1, 4.5, 4.999, 5.2, 10/2 (which simplifies to 5), etc. These include decimals and fractions that are larger than 4.
  • Irrational Numbers: π (approximately 3.14159) is not greater than 4, but numbers like 4 + √2 (approximately 5.414) or 5π (approximately 15.7) are.

Visual Representation:

A simple number line can illustrate this:

... -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 ...
^ Numbers greater than 4 are to the right of this point.

Conclusion:

In conclusion, the question of identifying numbers greater than 4 is straightforward. It involves understanding the concept of numerical order and recognizing that an infinite number of values satisfy this condition. The examples provided illustrate this across different number types. There is no specific policy recommendation or best practice needed for this purely mathematical concept; the understanding of numerical ordering is the key takeaway. This fundamental understanding forms the basis for more complex mathematical operations and applications.

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