SW 1. 2 and 32 [1]2.6 and 54 [3]3.68 and 3 [4] 4.10 and 40 [5] 5.2 and 2 [2] 6. -4 and 8 [3] 7.-16 and -8 [3] 8.1/3 and 11/3 [4] 9. a and b [1] 10. x+y and 4x-2y [2]
Answer (1)
Answer:The provided question seems to be asking for the greatest common divisor (GCD) or the highest common factor (HCF) of the given pairs of numbers. Let's find the GCD for each pair: 1. 2 and 32: The GCD is 2. [1] is correct.2. 6 and 54: The GCD is 6. [3] is incorrect. The correct answer should be 6.3. 68 and 3: The GCD is 1. [4] is incorrect. The correct answer should be 1.4. 10 and 40: The GCD is 10. [5] is incorrect. The correct answer should be 10.5. 2 and 2: The GCD is 2. [2] is correct.6. -4 and 8: The GCD is 4. [3] is incorrect. The correct answer should be 4. (We ignore the negative sign when finding the GCD).7. -16 and -8: The GCD is 8. [3] is incorrect. The correct answer should be 8. (We ignore the negative sign when finding the GCD).8. 1/3 and 11/3: The GCD is 1/3. [4] is incorrect. The correct answer should be 1/3.9. a and b: The GCD is 1, assuming 'a' and 'b' are coprime (meaning they share no common factors other than 1). [1] is correct if a and b are coprime.10. x+y and 4x-2y: This requires factoring. We can factor out a 2 from the second expression: 2(2x-y). Without knowing the values of x and y, we cannot determine the GCD. [2] is incorrect unless we have more information. The GCD could be 1, or it could be a common factor of (x+y) and (2x-y). Step-by-step explanation:In summary: The bracketed numbers are only correct for items 1 and 5. The rest require correction. Item 10 cannot be solved without further information.
