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
Hey vanishreechintu2014, good to see you again. Here are the solutions to the problems: 1. Add using a number line. a) Step 1: Start at -3 and move 4 units to the left. (-3) + (-4) = -7 b) Step 1: Start at 1 and move 8 units to the left. 1 + (-8) = -7 c) Step 1: Start at 2 and move 2 units to the left. 2 + (-2) = 0 d) Step 1: Start at 12 and move 7 units to the left. 12 - 7 = 5 2. Add. a) Step 1: Add the numbers. 25 + (-11) = 25 - 11 = 14 b) Step 1: Add the numbers. 23 + (-19) = 23 - 19 = 4 c) Step 1: Add the numbers. 24 + (-12) = 24 - 12 = 12 d) Step 1: Add the numbers. (-71) + 71 = 0 e) Step 1: Add the numbers. -12 + (-17) = -12 - 17 = -29 f) Step 1: Add the numbers. 58 + (-91) = 58 - 91 = -33 g) Step 1: Add the numbers. -6 + 11 = 5 h) Step 1: Add the numbers. 67 + (-66) = 67 - 66 = 1 i) Step 1: Add the numbers. 15 + 14 = 29 j) Step 1: Add the numbers. 90 + (-97) = 90 - 97 = -7 3. Subtract. a) Step 1: Subtract the numbers. (-95) - 54 = -149 b) Step 1: Change subtraction of a negative to addition. 77 - (-29) = 77 + 29 = 106 c) Step 1: Subtract the numbers. (-75) - 18 = -93 d) Step 1: Subtract the numbers. (-83) - 65 = -148 e) Step 1: Change subtraction of a negative to addition. (-33) - (-80) = -33 + 80 = 47 f) Step 1: Subtract the numbers. (-13) - 60 = -73 g) Step 1: Change subtraction of a negative to addition. 89 - (-52) = 89 + 52 = 141 h) Step 1: Subtract the numbers. 14 - 95 = -81 i) Step 1: Subtract the numbers. (-47) - 25 = -72 j) Step 1: Change subtraction of a negative to addition. (-10) - (-50) = -10 + 50 = 40 4. Simplify. a) Step 1: Combine the numbers. 10 + (-11) + 5 + (-5) = 10 - 11 + 5 - 5 = -1 + 0 = -1 b) Step 1: Combine the numbers. (-2) + 11 + 4 = 9 + 4 = 13 c) Step 1: Combine the numbers. 2 + 10 + (-10) + 10 = 2 + 10 - 10 + 10 = 2 + 0 + 10 = 12 d) Step 1: Combine the numbers. (-5) + (-8) + (-2) + 1 = -5 - 8 - 2 + 1 = -13 - 2 + 1 = -15 + 1 = -14 e) Step 1: Combine the numbers. (-1) + 11 + 5 = 10 + 5 = 15 f) Step 1: Combine the numbers. 9 + (-12) + (-6) + (-2) = 9 - 12 - 6 - 2 = -3 - 6 - 2 = -9 - 2 = -11 5. Solve the following. a) Step 1: Represent "14 degrees below zero" as -14^ C. Step 2: Represent "dropped 24 degrees" as subtracting 24^ C. Step 3: Calculate the new temperature. -14^ C - 24^ C = -38^ C The new temperature is -38 degrees. b) Step 1: The mountain climber's altitude is 3625 metres. Step 2: The scuba diver's altitude is -609 metres. Step 3: Find the difference by subtracting the lower altitude from the higher altitude. Difference = 3625 m - (-609 m) Difference = 3625 m + 609 m Difference = 4234 m The difference in their altitudes is 4234 metres. Subtract 1092 from 0. Step 1: Perform the subtraction. 0 - 1092 = -1092 The result is -1092. From the sum of -19 and -43, subtract 17. Step 1: Find the sum of -19 and -43. Sum = (-19) + (-43) = -19 - 43 = -62 Step 2: Subtract 17 from the sum. Result = -62 - 17 = -79 The result is -79. Drop the next question! 📸