Solved in the same order as the textbook — Exercise Set by Exercise Set.
Exercise 6.2
Q1. Consider the same result: which statement about the prime factors of 8 is correct for a rational number with denominator 8 in lowest form?
○ It cannot be represented as a fraction
○ It must be irrational
○ Its decimal expansion is non-terminating recurring
✓ Its decimal expansion terminates
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. Consider the same result: which of the following is irrational?
○ 3/1
○ 3
○ Ö9
✓ Ö3
Solution: The square root of a prime number is irrational. — Examisthan.com
Q3. Consider the same result: using Euclid's division algorithm, what is the remainder when 51 is divided by 15?
○ 9
○ 5
○ 7
✓ 6
Solution: Since 51 = 15 × 3 + 6, the remainder is 6. — Examisthan.com
Q4. Consider the same result: what is the HCF of 24 and 26?
○ 1
✓ 2
○ 312
○ 4
Solution: The greatest common divisor of 24 and 26 is 2. — Examisthan.com
Q5. Consider the same result: what is the LCM of 24 and 26?
○ 624
○ 310
✓ 312
○ 314
Solution: Using LCM × HCF = product for two positive integers, the LCM is 312. — Examisthan.com