Solved in the same order as the textbook — Exercise Set by Exercise Set.
Exercise 6.2
Q1. In this case, which statement about the prime factors of 12 is correct for a rational number with denominator 12 in lowest form?
✓ Its decimal expansion terminates
○ Its decimal expansion is non-terminating recurring
○ It cannot be represented as a fraction
○ It must be irrational
Solution: A rational number has a terminating decimal expansion when the denominator in lowest form has no prime factors other than 2 and 5. — Examisthan.com
Q2. In this case, which of the following is irrational?
○ 5
✓ Ö5
○ Ö25
○ 5/1
Solution: The square root of a prime number is irrational. — Examisthan.com
Q3. In this case, using Euclid's division algorithm, what is the remainder when 100 is divided by 29?
○ 12
○ 14
✓ 13
○ 16
Solution: Since 100 = 29 × 3 + 13, the remainder is 13. — Examisthan.com
Q4. In this case, what is the HCF of 66 and 54?
✓ 6
○ 594
○ 8
○ 4
Solution: The greatest common divisor of 66 and 54 is 6. — Examisthan.com
Q5. In this case, what is the LCM of 66 and 54?
○ 588
○ 600
○ 3564
✓ 594
Solution: Using LCM × HCF = product for two positive integers, the LCM is 594. — Examisthan.com