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: 1. Calculate the following: a) Step 1: Multiply the numbers. A negative number multiplied by a positive number results in a negative number. -4 × 6 = -24 The result is -24. b) Step 1: Divide the numbers. A negative number divided by a negative number results in a positive number. (-120) ÷ (-20) = 6 The result is 6. c) Step 1: Multiply the numbers. A positive number multiplied by a negative number results in a negative number. 20 × (-3) = -60 The result is -60. d) Step 1: Multiply the numbers. A negative number multiplied by a negative number results in a positive number. -9 × (-12) = 108 The result is 108. e) Step 1: Divide the numbers. A negative number divided by a negative number results in a positive number. (-36) ÷ (-6) = 6 The result is 6. f) Step 1: Multiply the numbers. A positive number multiplied by a negative number results in a negative number. 14 × (-2) = -28 The result is -28. g) Step 1: Divide the numbers. A negative number divided by a negative number results in a positive number. -24 ÷ (-8) = 3 The result is 3. h) Step 1: Divide the numbers. A negative number divided by a positive number results in a negative number. -100 ÷ 20 = -5 The result is -5. 2. Calculate: a) Step 1: Multiply the numbers. 12 × 8 = 96 The result is 96. b) Step 1: Multiply the numbers. A positive number multiplied by a negative number results in a negative number. 12 × -8 = -96 The result is -96. c) Step 1: Multiply the numbers. A negative number multiplied by a positive number results in a negative number. -12 × 8 = -96 The result is -96. d) Step 1: Multiply the numbers. A negative number multiplied by a negative number results in a positive number. -12 × -8 = 96 The result is 96. 3. Calculate: a) Step 1: Divide the numbers. 24 ÷ 6 = 4 The result is 4. b) Step 1: Divide the numbers. A positive number divided by a negative number results in a negative number. 24 ÷ -6 = -4 The result is -4. c) Step 1: Divide the numbers. A negative number divided by a positive number results in a negative number. -24 ÷ 6 = -4 The result is -4. d) Step 1: Divide the numbers. A negative number divided by a negative number results in a positive number. -24 ÷ -6 = 4 The result is 4. 4. Calculate: a) Step 1: Multiply the numbers. Any number multiplied by zero is zero. -25 × 0 = 0 The result is 0. b) Step 1: Multiply the numbers. Any number multiplied by one is itself. -12 × 1 = -12 The result is -12. c) Step 1: Multiply the numbers from left to right. 4 × 3 × 2 = 12 × 2 Step 2: Complete the multiplication. 12 × 2 = 24 The result is 24. d) Step 1: Multiply the numbers from left to right. A negative number multiplied by a positive number is negative. -4 × 3 × 2 = -12 × 2 Step 2: Complete the multiplication. -12 × 2 = -24 The result is -24. e) Step 1: Multiply the numbers from left to right. A positive number multiplied by a negative number is negative. 4 × -3 × 2 = -12 × 2 Step 2: Complete the multiplication. -12 × 2 = -24 The result is -24. f) Step 1: Multiply the numbers from left to right. A negative number multiplied by a positive number is negative. -4 × 3 × -2 = -12 × -2 Step 2: Complete the multiplication. A negative number multiplied by a negative number is positive. -12 × -2 = 24 The result is 24. That's 2 down. 3 left today — send the next one.