Classify the following as odd or even numbers: 131, 108, 365, 329, 5124, 10687. 2. List all prime numbers between 1 and 20. 3. Classify the following as prime or composite numbers: 47, 89, 173, 353, 3

Here are the solutions to the questions. 1. Classify the following as odd or even numbers: 131, 108, 365, 329, 5124, 10687 Odd numbers*: Numbers not divisible by 2. Even numbers*: Numbers divisible by 2. Odd numbers*: 131, 365, 329, 10687 Even numbers*: 108, 5124 2. List all prime numbers between 1 and 20. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The prime numbers between 1 and 20 are: 2, 3, 5, 7, 11, 13, 17, 19 3. Classify the following as prime or composite numbers: 47, 89, 173, 353, 377, 421 A prime number* has exactly two distinct positive divisors: 1 and itself. A composite number* has more than two distinct positive divisors. 47: Prime (divisors: 1, 47) 89: Prime (divisors: 1, 89) 173: Prime (divisors: 1, 173) 353: Prime (divisors: 1, 353) 377: Composite (13 × 29 = 377) 421: Prime (divisors: 1, 421) 4. Differentiate between rational and irrational numbers, giving an example in each case. Rational numbers* are numbers that can be expressed as a fraction (p)/(q), where p and q are integers and q ≠ 0. Their decimal representation either terminates or repeats. Example: (1)/(2) = 0.5, (1)/(3) = 0.333... Irrational numbers* are numbers that cannot be expressed as a simple fraction. Their decimal representation is non-terminating and non-repeating. Example: sqrt(2) ≈ 1.41421356..., ≈ 3.14159265... 5. Determine the reciprocal of the following: The reciprocal of a number x is (1)/(x). i) 4* (1)/(4) = 0.25 ii) 4/5* (1)/(4)5 = (5)/(4) = 1.25 iii) 3 1/2* First, convert the mixed number to an improper fraction: 3 (1)/(2) = (3 × 2 + 1)/(2) = (7)/(2). (1)/(7)2 = (2)/(7) ≈ 0.2857 6. Use reciprocal tables to find the reciprocal of the following numbers: (Assuming a calculator is used to find the values that would be found in a reciprocal table, rounded to 4 decimal places.) i) 3.4* (1)/(3.4) = (10)/(34) = (5)/(17) ≈ 0.2941 ii) 2.43* (1)/(2.43) = (100)/(243) ≈ 0.4115 iii) 2.437* (1)/(2.437) = (1000)/(2437) ≈ 0.4103 7. Determine the reciprocal of 227.4. The reciprocal of 227.4 is (1)/(227.4). (1)/(227.4) = (10)/(2274) = (5)/(1137) ≈ 0.0043975 8. Evaluate: (2)/(5) + (3)/(7) Step 1: Find a common denominator for 5 and 7, which is 5 × 7 = 35. Step 2: Convert each fraction to have the common denominator. (2)/(5) = (2 × 7)/(5 × 7) = (14)/(35) (3)/(7) = (3 × 5)/(7 × 5) = (15)/(35) Step 3: Add the fractions. (14)/(35) + (15)/(35) = (14+15)/(35) = (29)/(35) Send me the next one 📸