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
Part (i): (-3) + (-2) Step 1: Rule for adding two negative numbers. Sum of two negatives is negative of the sum of absolute values. a + b = -( |a| + |b| ) where a < 0 and b < 0. Step 2: Substitute values. (-3) + (-2) = -(3 + 2) Step 3: Simplify inside parentheses. 3 + 2 = 5 -(5) = -5 -5 Part (ii): (+5) + (-7) Step 1: Rule for adding positive and negative. If absolute value of negative is larger, result is negative of the difference. a + b = -(|b| - |a|) where |b| > |a| > 0. Step 2: Substitute values. 5 + (-7) = -(7 - 5) Step 3: Simplify inside parentheses. 7 - 5 = 2 -(2) = -2 -2