To determine whether the given number corresponds to the choices A, B, C, or D, we first need to specify what the "given number" is. However, since we don't have a specific number referenced in your question, we can analyze the classifications based on common mathematical understanding.
- Terminating vs. Repeating vs. Rational vs. Irrational:
- Terminating: A decimal that ends after a certain number of digits (e.g., 0.5, 0.75).
- Repeating: A decimal that has one or more repeating digits (e.g., 0.333..., 0.6666...).
- Rational: A number that can be expressed as a fraction of two integers (e.g., 1/2, 3/4, 0.25).
- Irrational: A number that cannot be expressed as a simple fraction, often having non-repeating, non-terminating decimals (e.g., √2, π).
Choosing options:
- A addresses "terminating" but gives no additional context.
- B addresses "repeating".
- C classifies "rational".
- D classifies "irrational".
- Classifying a number as rational or irrational:
- A (Rational because it equals 22/7): 22/7 is a fraction, hence a rational number.
- B (Rational because it equals 3.14): 3.14 can be represented as a fraction (314/100), hence rational.
- C (Irrational because it has its own symbol): For example, π (pi) is irrational, but this statement is vague without context.
- D (Irrational because it doesn't equal a terminating or repeating decimal): This is correct as it describes irrational numbers appropriately.
Conclusion:
If the "given number" is a well-known irrational number like π, then the best choice would be:
- For classification: D (irrational)
- If identifying from A, B, C, or D that relates to general numbers, it would depend on which specific number you have in mind. If it's an approximation of π, 3.14 could be considered rational (option B).
Please provide more context if you have a specific number in mind!
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