Real Numbers

3. All rational and irrational numbers are called ____ numbers.
6. integers clue
7. If p is a prime and p divides a2,then p ____ divides a, where a is a positive integer.
9. Numbers that cannot be written as the ratio of two integers.
12. recurring decimal clue
15. A _____ decimal that has a limited number of digits.
16. multiple comon multiple clue
18. The ____ common multiple is the smallest number that is a common multiple of two or more numbers.

1. The largest common factor of two or more numbers is called the ____ common factor.
2. A ____ number has atleast one more factor other than the number itself and 1.
3. ratinaol number clue
4. This is based on Euclid's division lemma. According to this the HCF of any two positive integers a and b with a>b.This is Called Euclid's division ____.
5. decimal clue
8. ____ is the decomposition of a number into the product of other factors,which when multipled together give the original number.
10. Every composite can be expressed as a product of primes,and this factorization is unique, apart from the order in which the prime factors occurs. This is called The ____ theorm of arithmetic.
11. a lemma is a proven statement used for proving another statement.
13. terminating non terminating clue
14. A ____ number has exactly 2 factors,the number itself and 1.
17. Given positive integers a and b, there exist a whole numbers q and r satisfying a=bq+r is called Euclid's Division _______.