Math Problem Statement

Trong các cách viết sau, cách viết nào là đúng?

Solution

The image presents a question in Vietnamese, asking for the correct representation of a number in a set notation.

Let's break down the options:

  1. −2,2 ∈ Z: This option is asking if -2.2 is an integer (Z represents the set of integers). This is incorrect because -2.2 is a decimal number, not an integer.

  2. −3/5 ∈ Q: This option is asking if -3/5 is a rational number (Q represents the set of rational numbers). This is correct because -3/5 is a fraction and therefore a rational number.

  3. −1/2 ∈ N: This option is asking if -1/2 is a natural number (N represents the set of natural numbers). This is incorrect because natural numbers are non-negative integers, and -1/2 is a negative fraction.

Therefore, the correct answer is the second option: −3/5 ∈ Q.

Would you like more clarification or examples about these sets? Here are some related questions to explore:

  1. What are the main differences between integers, rational numbers, and natural numbers?
  2. Can you explain what the set of rational numbers consists of?
  3. How do you determine whether a number is a natural number, integer, or rational number?
  4. What are some examples of irrational numbers that cannot be written as fractions?
  5. How do negative numbers interact with these sets?

Tip: Remember that rational numbers can be written as fractions (p/q), where both p and q are integers, and q ≠ 0.