Density Property of Real Numbers Worksheets

Density Property of Real Numbers Worksheets

  • 1. How many real numbers do you think exist between given two real numbers say: 2 and 3?
    1. Two (2)
    2. Three (3)
    3. Ten ( 10 )
    4. None of the above
  • 2. If we say that there exist infinite number of real numbers between any given pair of real numbers, and then this property of real numbers is known as?
    1. Commutative property of real numbers
    2. Density property of real numbers
    3. Associative property of real numbers
    4. Closure property of real numbers
  • 3. According to density property of real numbers we mean that?
    1. Real numbers are infinite in number
    2. We cannot count the number of real numbers
    3. Both a and b are correct
    4. Both a and b are wrong
  • 4. If a and c are any two real numbers and we need to find another real number existing between the given numbers a and b, then the formula used to find the real number between the two numbers is?
    1. a + 1 will give another real number between a and b
    2. b – 1 will give another real number between a and b
    3. (a + b) / 2 will give another real number between a and b
    4. None of the above
  • 5. If we have r and s as any two real numbers, then we can say that _ _ _ _ _ _ _ always lies between r and s? (Fill up the most suitable answer in the above given space).
    1. Sum of the two real numbers
    2. Product of the two real numbers
    3. Mean of the two real numbers
    4. None of the above
  • 6. If r1 and r2 are any two real numbers, then there exist infinite numbers between any two given numbers. This statement represents which of the following properties?
    1. Identity property of real numbers
    2. Associative property of real numbers
    3. Closure property of real numbers
    4. Density property of real numbers
  • 7. Find the number of real numbers between the two given real numbers 2.5 and 2.6
    1. Only 1 number exist between two real numbers
    2. No number exist between these two real numbers
    3. Infinite number of real numbers
    4. All the above options are incorrect
  • 8. Find the number of real numbers between the two given real numbers 3/7 and 4/7?
    1. Only 1 number exist between two real numbers
    2. No number exist between these two real numbers
    3. Infinite number of real numbers
  • 9. Find the number of real numbers between the two given real numbers 8 and 9?
    1. Only 1 number exist between two real numbers
    2. Infinite number exist between these two real numbers
    3. No number of real numbers
    4. All the above options are incorrect
  • 10. Which of the following represents the density property of real numbers?
    1. The real numbers are limited
    2. The real numbers are uncountable and their exist infinite numbers between any two real numbers
    3. Real numbers are countable
    4. All of these do not satisfy the Density property
  • 11. If r1 and r2 are any two real numbers, then there exist infinite numbers between any two given numbers. This statement represents which of the following properties?
    1. Identity property of real numbers
    2. Associative property of real numbers
    3. Closure property of real numbers
    4. Density property of real numbers
Math Topics
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