Find each of the following products: a) 3 × (-1) b) (-1) × 225 c) (-21) × (-30) d) (-316) × (-1) e) (-15) × 0 × (-18) f) (-12) × (-11) × (10) g) 9 × (-3) × (-6) h) (-18) × (-5) × (-4)

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Asked on May 12, 2026Mathematics

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.

Accepted Answer · 2026-05-12T13:57:51.130Z

Here are the solutions to the problems. 1. Find each of the following products: a) 3 × (-1) 3 × (-1) = -3 The product of a positive and a negative integer is negative. -3 b) (-1) × 225 (-1) × 225 = -225 The product of a negative and a positive integer is negative. -225 c) (-21) × (-30) (-21) × (-30) = 630 The product of two negative integers is positive. 630 d) (-316) × (-1) (-316) × (-1) = 316 The product of two negative integers is positive. 316 e) (-15) × 0 × (-18) (-15) × 0 × (-18) = 0 Any number multiplied by zero is zero. 0 f) (-12) × (-11) × (10) Step 1: Multiply the first two numbers. (-12) × (-11) = 132 Step 2: Multiply the result by the third number. 132 × 10 = 1320 1320 g) 9 × (-3) × (-6) Step 1: Multiply the first two numbers. 9 × (-3) = -27 Step 2: Multiply the result by the third number. (-27) × (-6) = 162 162 h) (-18) × (-5) × (-4) Step 1: Multiply the first two numbers. (-18) × (-5) = 90 Step 2: Multiply the result by the third number. 90 × (-4) = -360 -360 i) (-1) × (-2) × (-3) × 4 Step 1: Multiply the first two numbers. (-1) × (-2) = 2 Step 2: Multiply the result by the third number. 2 × (-3) = -6 Step 3: Multiply the result by the fourth number. (-6) × 4 = -24 -24 j) (-3) × (-6) × (-2) × (-1) Step 1: Multiply the first two numbers. (-3) × (-6) = 18 Step 2: Multiply the result by the third number. 18 × (-2) = -36 Step 3: Multiply the result by the fourth number. (-36) × (-1) = 36 36 2. Verify the following: a) 18 × [7 + (-3)] = [18 × 7] + [18 × (-3)] Step 1: Evaluate the Left Hand Side (LHS). 18 × [7 + (-3)] = 18 × [7 - 3] = 18 × 4 = 72 Step 2: Evaluate the Right Hand Side (RHS). [18 × 7] + [18 × (-3)] = 126 + (-54) = 126 - 54 = 72 Step 3: Compare LHS and RHS. 72 = 72 The equation is verified. b) (-21) × [(-4) + (-6)] = [(-21) × (-4)] + [(-21) × (-6)] Step 1: Evaluate the Left Hand Side (LHS). (-21) × [(-4) + (-6)] = (-21) × [-10] = 210 Step 2: Evaluate the Right Hand Side (RHS). [(-21) × (-4)] + [(-21) × (-6)] = 84 + 126 = 210 Step 3: Compare LHS and RHS. 210 = 210 The equation is verified. Send me the next one 📸

Accepted Answer · 2026-05-12T13:57:51.130Z

Here are the solutions to the problems. 1. Find each of the following products: a) 3 × (-1) 3 × (-1) = -3 The product of a positive and a negative integer is negative. -3 b) (-1) × 225 (-1) × 225 = -225 The product of a negative and a positive integer is negative. -225 c) (-21) × (-30) (-21) × (-30) = 630 The product of two negative integers is positive. 630 d) (-316) × (-1) (-316) × (-1) = 316 The product of two negative integers is positive. 316 e) (-15) × 0 × (-18) (-15) × 0 × (-18) = 0 Any number multiplied by zero is zero. 0 f) (-12) × (-11) × (10) Step 1: Multiply the first two numbers. (-12) × (-11) = 132 Step 2: Multiply the result by the third number. 132 × 10 = 1320 1320 g) 9 × (-3) × (-6) Step 1: Multiply the first two numbers. 9 × (-3) = -27 Step 2: Multiply the result by the third number. (-27) × (-6) = 162 162 h) (-18) × (-5) × (-4) Step 1: Multiply the first two numbers. (-18) × (-5) = 90 Step 2: Multiply the result by the third number. 90 × (-4) = -360 -360 i) (-1) × (-2) × (-3) × 4 Step 1: Multiply the first two numbers. (-1) × (-2) = 2 Step 2: Multiply the result by the third number. 2 × (-3) = -6 Step 3: Multiply the result by the fourth number. (-6) × 4 = -24 -24 j) (-3) × (-6) × (-2) × (-1) Step 1: Multiply the first two numbers. (-3) × (-6) = 18 Step 2: Multiply the result by the third number. 18 × (-2) = -36 Step 3: Multiply the result by the fourth number. (-36) × (-1) = 36 36 2. Verify the following: a) 18 × [7 + (-3)] = [18 × 7] + [18 × (-3)] Step 1: Evaluate the Left Hand Side (LHS). 18 × [7 + (-3)] = 18 × [7 - 3] = 18 × 4 = 72 Step 2: Evaluate the Right Hand Side (RHS). [18 × 7] + [18 × (-3)] = 126 + (-54) = 126 - 54 = 72 Step 3: Compare LHS and RHS. 72 = 72 The equation is verified. b) (-21) × [(-4) + (-6)] = [(-21) × (-4)] + [(-21) × (-6)] Step 1: Evaluate the Left Hand Side (LHS). (-21) × [(-4) + (-6)] = (-21) × [-10] = 210 Step 2: Evaluate the Right Hand Side (RHS). [(-21) × (-4)] + [(-21) × (-6)] = 84 + 126 = 210 Step 3: Compare LHS and RHS. 210 = 210 The equation is verified. Send me the next one 📸

Find each of the following products: a) 3 × (-1) b) (-1) × 225 c) (-21) × (-30) d) (-316) × (-1) e) (-15) × 0 × (-18) f) (-12) × (-11) × (10) g) 9 × (-3) × (-6) h) (-18) × (-5) × (-4)

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Find each of the following products: a) 3 × (-1) b) (-1) × 225 c) (-21) × (-30) d) (-316) × (-1) e) (-15) × 0 × (-18) f) (-12) × (-11) × (10) g) 9 × (-3) × (-6) h) (-18) × (-5) × (-4)

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