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CBSE Notes Class 10 2020 : Mathematics (Vidhyalakshmi School, North Arcot) Real Numbers

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David Vishnu
Vidhyalakshmi School, North Arcot

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VIDHYALAKSHMI SCHOOL [CBSE] CLASS: X MATHEMATICS TOPIC: Real Numbers 1. Express 140 as a product of its prime factors 2. Find the LCM and HCF of 12, 15 and 21 by the prime factorization method. 3. Find the LCM and HCF of 6 and 20 by the prime factorization method. 4. State whether 13 will have a terminating decimal expansion or a non-terminating repeating 3125 decimal. 5. State whether 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 17 will have a terminating decimal expansion or a non-terminating repeating 8 decimal. Find the LCM and HCF of 26 and 91 and verify that LCM HCF = product of the two numbers. Use Euclid s division algorithm to find the HCF of 135 and 225 Use Euclid s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m. How many irrational numbers lie between 2 and 3 ? Write any two of them. Explain why 7 11 13 + 13 and 7 6 5 4 3 2 1 + 5 are composite numbers. Check whether 6n can end with the digit 0, for any natural number n. State fundamental theorem of Arithmetic. Using it check whether there is any value of n for which 5n ends with the digit zero. Show that 12n cannot end with the digit 0 or 5 for any natural number n. If the HCF of 210 and 55 is expressible in the form 210 5 + 55y then find y. Prove that 3 is irrational. Show that 5 3 is irrational Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? Express 156 as a product of its prime factors. Express 23150 as product of its prime factors. Is it unique? Solve 18 x 50 . What type of number is it, rational or irrational? Find the LCM and HCF of 17, 23 and 29 by the prime factorization method. Find the HCF and LCM of 12, 36 and 160, using the prime factorization method. 24. State whether 6 will have a terminating decimal expansion or a non-terminating repeating 15 decimal. 25. State whether decimal. 35 will have a terminating decimal expansion or a non-terminating repeating 50

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Additional Info : Class 10 Real Numbers 2018 : Mathematics (Vidhyalakshmi School, North Arcot)

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