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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You're on a roll — Here are the solutions to the questions: 1. Plot -2.8 on the numberline. Working out: To plot -2.8, locate -2 on the number line. Then, move 0.8 units to the left. Since each small tick mark represents 0.2 units, moving 0.8 units to the left means moving 0.8 / 0.2 = 4 tick marks to the left from -2. Answer: A point should be placed on the number line at the fourth tick mark to the left of -2. Number line with point at -2.8: ----4-------3-------2-------1------0------1------2------3---→ The point for -2.8 is between -3 and -2, four small ticks to the left of -2. It is also one small tick to the right of -3. See diagram below for plotted point (Since I cannot draw on the image, I will describe the location for plotting.) The point for -2.8 is located between -3 and -2. It is 0.2 units to the right of -3 (or 0.8 units to the left of -2). 2. What number does the arrow point to on the number line? Working out: The arrow is located between -2 and -1. There are 5 small intervals between -2 and -1. This means each small interval represents (1)/(5) = 0.2 units. The arrow points to the second small tick mark to the right of -2. So, the value is -2 + (2 × 0.2) = -2 + 0.4 = -1.6. Answer: -1.6 3. Write the next three multiples of 17. 17, 34, 51, 68, 85, ___, ___, ___ Working out: To find the next multiples, we add 17 to the previous multiple. The last given multiple is 85. Next multiple 1: 85 + 17 = 102 Next multiple 2: 102 + 17 = 119 Next multiple 3: 119 + 17 = 136 Answer: 102, 119, 136 Send me the next one 📸