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.
ScanSolve AI Answer
QUESTION 1 a) 2.5, -12.4, -3.1 Step 1: Arrange the numbers in ascending order (smallest to largest). -12.4, -3.1, 2.5 Step 2: Arrange the numbers in descending order (largest to smallest). 2.5, -3.1, -12.4 b) -9.5, -8.9, -10, -9.7 Step 1: Arrange the numbers in ascending order. -10, -9.7, -9.5, -8.9 Step 2: Arrange the numbers in descending order. -8.9, -9.5, -9.7, -10 c) 3(1)/(2), -2(1)/(4), 1, -1(1)/(2) Step 1: Convert to decimal form for easier comparison: 3.5, -2.25, 1, -1.5. Arrange in ascending order. -2(1)/(4), -1(1)/(2), 1, 3(1)/(2) Step 2: Arrange in descending order. 3(1)/(2), 1, -1(1)/(2), -2(1)/(4) d) -1, -1.7, -12, 9.0 Step 1: Arrange the numbers in ascending order. -12, -1.7, -1, 9.0 Step 2: Arrange the numbers in descending order. 9.0, -1, -1.7, -12 QUESTION 2 The minimum overnight temperatures for one week at Mt. Wilhelm were 2^ C, 5^ C, 3^ C, 5^ C, 3^ C, 2^ C, 1^ C. Step 1: Sum all the temperatures. Sum = 2 + 5 + 3 + 5 + 3 + 2 + 1 = 21^ C Step 2: Divide the sum by the number of temperatures (7 days in a week). Average temperature = (21^ C)/(7) = 3^ C QUESTION 3 A lift is at the third basement floor (3 floors below ground level), and moves up 14 levels. Step 1: Determine the starting level. "3 floors below ground level" can be represented as -3. Step 2: Calculate the final level after moving up 14 levels. Final level = -3 + 14 = 11 The lift ends up on the 11th floor. Step 3: Represent this on a number line. Imagine a number line with 0 as ground level. Mark -3 as the starting point. Draw an arrow starting from -3 and extending 14 units to the right (upwards) to reach 11. 3 done, 2 left today. You're making progress.