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MATHEMATICS FOR X

CHAPTER-WISE ASSIGNMENTS FOR CBSE X

AN INSTITUTE FOR YOUR WARDS PERFECTION 

REAL NUMBERS- AN INTRODUCTION PART-2

KEY CONCEPTS:-

 1. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W.

2. The negative of natural numbers, 0 and the natural number together  constitutes integers denoted by Z.

3. Irrational numbers are the numbers which are non-terminating and non-repeating.

4. Rational and irrational numbers together constitute real numbers  and it is denoted by R.

5. Equivalent rational numbers (or fractions) have same (equal) values when written in the simplest form.

6. Terminating fractions are the fractions which leaves remainder 0 on division.

7.Recurring fractions are the fractions which never leave a remainder 0 on division.

8. There are infinitely many rational nu mbers between any two rational numbers.

9. If Prime factors of the denominator are 2 or 5 or both only. Then the number is  terminating else repeating/recurring.

 

KEY CONCEPTS:-

10. Two numbers p & q are said to be co-prime if, numbers p & q have no common factors other than 1.

11. decimal expansion of rational number is either terminating or non-terminating recurring

12. The decimal expansion of an irrational number is non-terminating, non-recurring.

13. Real numbers satisfy the commutative, associate and distributive law of addition and multiplication.

 14. Commutative law of addition: If a and b are two real numbers then, a + b = b + a

15. Commutative law of multiplication: If a and b are two real numbers then, a. b = b. a

16. Associative law of addition: If a, b and c are real numbers then, a + (b + c) = (a + b) + c

17. Associative law of multiplication: If a, b and c are real numbers then, a. (b. c) = (a. b). c

18. Distributive of multiplication with respect to addition: If a, b and c are real numbers then, a. (b+ c) = a. b + a. c.

 

PREPARED BY- RAJESH KUMAR GIRI

CALL FOR QUICK RESPONSE- 91-8527307169/91-9968042935

 

AN INSTITUTE FOR YOUR WARDS PERFECTION 

REAL NUMBERS- MCQ

MULTIPLE CHOICE QUESTIONS- REAL NUMBERS

  1. Which of the following numbers has terminating decimal expansion?
    1. 37 / 45
    2. 21 / 2356
    3. 17 / 49
    4. 89 / 2232
  1. The [HCF x LCM] for the numbers 50 and 20 is
    1. 10
    2. 100
    3. 1000
    4. 50
  1. Which of the following number has terminating decimal expansion?
    1. 37/45
    2. 21/ 235 6
    3. 17/49
    4. 89/2232
  1. Euclid’s division lemma states that for two positive integers a asbd b. there exist unique integers q and r such that a = bq+r, where r must satisfy?
    1. 1 < r < b
    2. 0 < r <=b
    3. 0 <=r < b
    4. 0 < r < b
  1. The decimal expansion of the number 31/ 22.5 will terminate after
    1. One Decimal Place
    2. Two Decimal Place
    3. Three Decimal Place
    4. More than 3 Decimal Place
  1. that HCF (2520, 6600) =40, LCM (2520, 6600) =252 x k, then the value of k is:
    1. 1650
    2. 1600
    3. 165
    4. 1625
  1. If p, q are two co – prime numbers.HCM (p, q) is:
    1. p
    2. q
    3. pq
    4. 1
  1. The decimal expansion of the rational number 23/22.5 will terminate after
    1. One Decimal Place
    2. Two Decimal Place
    3. Three Decimal Place
    4. More than 3 Decimal Place
  1. n 2 - 1 is divisible by 8, if n is
    1. 1
    2. p
    3. q
    4. pq

 

  1. If p, q are two prime number, then LCM (p, q) is:
    1. 1
    2. p
    3. q
    4. pq
  1. If d= HCF (48, 72) the value of d is:
    1. 24
    2. 48
    3. 12
    4. 72
  1. The decimal expansion of the rational number 11/2^3 5^2 will terminate after:
    1. One Decimal Place
    2. Two Decimal Place
    3. Three Decimal Place
    4. More than 3 Decimal Place
  1. If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the values of m is:
    1. 4
    2. 2
    3. 3
    4. 1
  1. If d= LCM (36, 198), then the value of s is:
    1. 396
    2. 198
    3. 36
    4. 1
 15.Given that HCF (26, 91) = 13, then LCM (26, 91) is:
    1. 2344
    2. 182
    3. 91
    4. 364

PREPARED BY- RAJESH KUMAR GIRI

CALL FOR QUICK RESPONSE- 91-8527307169/91-9968042935

 

 



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