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
Here are the solutions to the problems: Section A: Multiple Choice Questions 6. The opposite of a number is its additive inverse. The opposite of -15 is -(-15) = 15. The correct option is C. 7. Step 1: Perform the multiplication first according to the order of operations. 5 × (-3) = -15 Step 2: Perform the addition. -15 + 12 = -3 The correct option is A. 8. Moving to the left on a number line means subtracting. Starting at -2 and moving 8 units to the left means: -2 - 8 = -10 The correct option is B. 9. To find how many degrees the temperature dropped, subtract the final temperature from the initial temperature. Drop = 4^ - (-5^) Step 1: Simplify the expression. 4 - (-5) = 4 + 5 Step 2: Perform the addition. 4 + 5 = 9 The temperature dropped by 9^. The correct option is B. 10. To calculate (-2)^3, multiply -2 by itself three times. (-2)^3 = (-2) × (-2) × (-2) Step 1: Multiply the first two numbers. (-2) × (-2) = 4 Step 2: Multiply the result by the third number. 4 × (-2) = -8 The correct option is A. 3 done, 2 left today. You're making progress.