حقیقی اور مخلوط اعداد

نویں جماعت · ریاضی · 6 سوالات

نام: ____________________ تاریخ: ____________

Which of these is an irrational number?
- A The square root of 2
- B 4
- C 3/4
- D 0.5
What is i squared, where i is the imaginary unit?
- A 0
- B -1
- C i
- D 1
What is (2 + 3i) + (4 - i)?
- A 2 + 2i
- B 8 + 3i
- C 6 + 4i
- D 6 + 2i
What is the conjugate of 3 + 4i?
- A -3 + 4i
- B 3 - 4i
- C -3 - 4i
- D 4 + 3i
Which property is shown by a + b = b + a?
- A Commutative
- B Associative
- C Identity
- D Distributive
What is the additive identity of real numbers?
- A 0
- B Infinity
- C -1
- D 1

جوابی کلید

1. A, 2. B, 3. D, 4. B, 5. A, 6. A

The square root of 2 cannot be written as a ratio of two integers.
By definition i2 = -1.
Add real parts: 2 + 4 = 6. Add imaginary parts: 3 - 1 = 2.
The conjugate changes the sign of the imaginary part.
Changing the order of addition does not change the result: the commutative property.
Adding 0 to any number leaves it unchanged.