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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Here are the solutions to the problems. Question 3: Solve the following multiplication problems: c) Step 1: Convert the fraction to a decimal or vice versa. -(1)/(4) = -0.25 Step 2: Multiply the numbers from left to right. (-0.25) × (-0.25) × (50) Step 3: Multiply the first two terms. A negative multiplied by a negative is a positive. (0.0625) × (50) Step 4: Simplify. 3.125 The product is 3.125. d) Step 1: Multiply the first two numbers. (0.24) × (1.3) = 0.312 Step 2: Multiply the result by the third number. A positive multiplied by a negative is a negative. (0.312) × (-3) = -0.936 The product is -0.936. Question 4: Divide the following directed numbers: a) Step 1: Divide the numbers. A negative divided by a negative is a positive. (-300) ÷ (-6) = 50 The solution is 50. b) Step 1: To divide by a fraction, multiply by its reciprocal. (-(1)/(2)) ÷ ((1)/(4)) = (-(1)/(2)) × ((4)/(1)) Step 2: Multiply the fractions. -(1 × 4)/(2 × 1) = -(4)/(2) Step 3: Simplify. -2 The solution is -2. c) Step 1: Perform the first division. A positive divided by a negative is a negative. (0.5) ÷ (-0.25) = -2 Step 2: Perform the second division. A negative divided by a negative is a positive. (-2) ÷ (-0.2) = 10 The solution is 10. d) Step 1: Perform the first division. To divide by a fraction, multiply by its reciprocal. (200) ÷ ((1)/(4)) = 200 × (4)/(1) = 800 Step 2: Perform the second division. Convert the decimal to a fraction for easier division. 0.2 = (2)/(10) = (1)/(5) (800) ÷ ((1)/(5)) = 800 × (5)/(1) Step 3: Multiply. 800 × 5 = 4000 The solution is 4000. That's 2 down. 3 left today — send the next one.