This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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7. A tech store offers a 19% discount on a laptop priced at K2,995. Estimate the amount of the discount. Step 1: Round the percentage. 19% is approximately 20%. Step 2: Round the price. K2,995 is approximately K3,000. Step 3: Calculate the estimated discount. 20\% of K3,000 = (20)/(100) × 3,000 = 0.20 × 3,000 = K600 Section C: Estimating a Quantity as a Percentage (6 Marks) 8. In a class of 39 students, 19 are wearing glasses. Estimate the percentage of students wearing glasses. Step 1: Round the number of students wearing glasses. 19 is approximately 20. Step 2: Round the total number of students. 39 is approximately 40. Step 3: Calculate the estimated percentage. (20)/(40) × 100\% = (1)/(2) × 100\% = 50\% 9. A football player scored 9 goals out of 41 attempts. Estimate his scoring rate as a percentage. Step 1: Round the number of goals. 9 is approximately 10. Step 2: Round the total number of attempts. 41 is approximately 40. Step 3: Calculate the estimated scoring rate. (10)/(40) × 100\% = (1)/(4) × 100\% = 25\% Section D: Word Problems on Estimation (10 Marks) 10. A farmer harvests 487 apples from one tree and 512 apples from another. a) Estimate the total number of apples harvested by rounding to the nearest hundred. Step 1: Round the apples from the first tree. 487 rounded to the nearest hundred is 500. Step 2: Round the apples from the second tree. 512 rounded to the nearest hundred is 500. Step 3: Add the rounded numbers to estimate the total. 500 + 500 = 1,000 apples