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Mth – REAL NUMBERS

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Question 1 of 20 0% read

1. Which of the following is a rational number between 2 and 3?

A √5
B 2.5
C π
D √7

2. The statement 5 × (7 + 3) = (5 × 7) + (5 × 3) illustrates which property?

A Associative Property
B Commutative Property
C Identity Property
D Distributive Property

3. Which of the following is a rational number?

A π
B √2
C 0.75
D √3

4. What is the multiplicative identity for real numbers?

A 0
B 1
C -1
D 10

5. Which property is used in 7 × (8 × 9) = (7 × 8) × 9?

A Commutative
B Associative
C Distributive
D Identity

6. Simplify: a⁵ × a⁻².

A
B a⁷
C a⁻¹⁰
D a³/²

7. Simplify: (3x²y³)²

A 9x⁴y⁶
B 6x⁴y⁶
C 9x²y⁵
D 3x⁴y⁶

8. What is the value of 2⁰?

A 1
B 0
C 2
D Undefined

9. Simplify: (x³)⁴.

A x⁷
B x¹²
C x⁶⁴
D x⁸

10. Which of the following is an irrational number?

A 2.5
B √4
C 0.333...
D √5

11. The sum of two irrational numbers is:

A Sometimes rational, sometimes irrational
B Always irrational
C Always rational
D Always an integer

12. The closure property for addition states that:

A The sum of two real numbers is a real number
B The sum of two real numbers is always positive
C The sum of two real numbers is always negative
D The sum of two real numbers is always zero

13. What is the additive identity for real numbers?

A 0
B 1
C -1
D 10

14. Which of the following numbers is an irrational number?

A √7
B 0.333...
C 22/7
D √16

15. The simplified form of (2a³b²)(3a²b⁵) is:

A 5a⁵b⁷
B 6a⁶b¹⁰
C 5a⁶b¹⁰
D 6a⁵b⁷

16. The property a + b = b + a is called:

A Associative property of addition
B Distributive property
C Additive identity
D Commutative property of addition

17. The value of (2^-1)^-3 is:

A 8
B 1/8
C -6
D -8

18. The property used in the equation 7 × (5 + 3) = (7 × 5) + (7 × 3) is:

A Associative Property
B Commutative Property
C Distributive Property
D Identity Property

19. The recurring decimal 0.555... can be expressed in the form p/q as:

A 1/2
B 5/10
C 5/99
D 5/9

20. The distributive property of multiplication over addition is:

A a × (b + c) = a × b + a × c
B a + (b + c) = (a + b) + c
C a × b = b × a
D a × 1 = a

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