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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Question 4: Divide the following directed numbers a) Step 1: Divide the absolute values. 300 ÷ 6 = 50 Step 2: Determine the sign. A negative number divided by a negative number results in a positive number. (-300) ÷ (-6) = 50 The solution is 50. b) Step 1: Rewrite the division as multiplication by the reciprocal of the second fraction. (-(1)/(2)) ÷ ((1)/(4)) = (-(1)/(2)) × ((4)/(1)) Step 2: Multiply the fractions. -(1 × 4)/(2 × 1) = -(4)/(2) Step 3: Simplify the fraction. -(4)/(2) = -2 The solution is -2. c) Step 1: Perform the first division: (0.5) ÷ (-0.25). 0.5 ÷ (-0.25) = (0.5)/(-0.25) = -2 Step 2: Perform the second division with the result from Step 1: (-2) ÷ (-0.2). (-2) ÷ (-0.2) = (-2)/(-0.2) = 10 The solution is 10. d) Step 1: Perform the division first according to the order of operations. (200) ÷ ((1)/(4)) = 200 × 4 200 × 4 = 800 Step 2: Perform the subtraction. 800 - (0.2) Step 3: Simplify the expression. 800 - 0.2 = 799.8 The solution is 799.8. That's 2 down. 3 left today — send the next one.