AN INSTITUTE FOR YOUR WARDS PERFECTION
REAL NUMBERS- AN INTRODUCTION PART-2
KEY CONCEPTS:- 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. 6. Terminating fractions are the fractions which leaves 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.
1. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W.
5. Equivalent rational numbers (or fractions) have same (equal) values when written in the simplest form.
7.Recurring fractions are the fractions which never leave a remainder 0 on division.
KEY CONCEPTS:- 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. 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.
10. Two numbers p & q are said to be co-prime if, numbers p & q have no common factors other than 1.
14. Commutative law of addition: If a and b are two real numbers then, a + b = b + a
PREPARED BY- RAJESH KUMAR GIRI |
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AN INSTITUTE FOR YOUR WARDS PERFECTION
REAL NUMBERS- MCQ
MULTIPLE CHOICE QUESTIONS- REAL NUMBERS
PREPARED BY- RAJESH KUMAR GIRI
15.Given that HCF (26, 91) = 13, then LCM (26, 91) is:
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