Simplify the following expressions: a) 6 - 4 + 3, b) 15 - 4 imes 2, c) 10 + 16 / 8, d) 7 x 2 + (8 - 3). And a) (-45 / (3 - 12)) + 6, b) 20 - 5 x 2 + (-21) / 3.

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Asked on March 29, 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 · 2026-03-29T11:13:50.468Z

Here are the solutions to the practice problems: 1. Simplify. a) 6 - 4 + 3 Step 1: Perform subtraction from left to right. 6 - 4 = 2 Step 2: Perform addition. 2 + 3 = 5 The simplified expression is 5. b) 15 - 4 × 2 Step 1: Perform multiplication. 4 × 2 = 8 Step 2: Perform subtraction. 15 - 8 = 7 The simplified expression is 7. c) 10 + 16 ÷ 8 Step 1: Perform division. 16 ÷ 8 = 2 Step 2: Perform addition. 10 + 2 = 12 The simplified expression is 12. d) 7 × 2 + (8 - 3) Step 1: Perform the operation inside the parentheses. 8 - 3 = 5 Step 2: Perform multiplication. 7 × 2 = 14 Step 3: Perform addition. 14 + 5 = 19 The simplified expression is 19. 2. Simplify. a) (-45 ÷ (3 - 12)) + 6 Step 1: Perform the operation inside the innermost parentheses. 3 - 12 = -9 Step 2: Perform division. -45 ÷ (-9) = 5 Step 3: Perform addition. 5 + 6 = 11 The simplified expression is 11. b) 20 - 5 × 2 + (-21) ÷ 3 Step 1: Perform multiplication. 5 × 2 = 10 Step 2: Perform division. (-21) ÷ 3 = -7 Step 3: Rewrite the expression with the results. 20 - 10 + (-7) Step 4: Perform subtraction from left to right. 20 - 10 = 10 Step 5: Perform addition. 10 + (-7) = 3 The simplified expression is 3. c) -4 × [1 - (10 - 13)] Step 1: Perform the operation inside the innermost parentheses. 10 - 13 = -3 Step 2: Substitute the result back into the brackets. -4 × [1 - (-3)] Step 3: Simplify inside the brackets. 1 - (-3) = 1 + 3 = 4 Step 4: Perform multiplication. -4 × 4 = -16 The simplified expression is -16. d) 20 - \32 ÷ (16 ÷ 1 + 3)\ ÷ 2 + (-10) Step 1: Perform the innermost division. 16 ÷ 1 = 16 Step 2: Perform the addition inside the parentheses. 16 + 3 = 19 Step 3: Perform the division inside the curly braces. 32 ÷ 19 = (32)/(19) Step 4: Rewrite the expression. 20 - (32)/(19) ÷ 2 + (-10) Step 5: Perform the division. (32)/(19) ÷ 2 = (32)/(19) × (1)/(2) = (16)/(19) Step 6: Rewrite the expression. 20 - (16)/(19) - 10 Step 7: Perform subtraction from left to right. 20 - (16)/(19) = (380)/(19) - (16)/(19) = (364)/(19) Step 8: Perform the final subtraction. (364)/(19) - 10 = (364)/(19) - (190)/(19) = (174)/(19) The simplified expression is (174)/(19). e) (80 + 16) ÷ 8 × 9 + (-10) Step 1: Perform the operation inside the parentheses. 80 + 16 = 96 Step 2: Rewrite the expression. 96 ÷ 8 × 9 + (-10) Step 3: Perform division from left to right. 96 ÷ 8 = 12 Step 4: Perform multiplication. 12 × 9 = 108 Step 5: Perform addition. 108

Accepted Answer · 2026-03-29T11:13:50.468Z

Here are the solutions to the practice problems: 1. Simplify. a) 6 - 4 + 3 Step 1: Perform subtraction from left to right. 6 - 4 = 2 Step 2: Perform addition. 2 + 3 = 5 The simplified expression is 5. b) 15 - 4 × 2 Step 1: Perform multiplication. 4 × 2 = 8 Step 2: Perform subtraction. 15 - 8 = 7 The simplified expression is 7. c) 10 + 16 ÷ 8 Step 1: Perform division. 16 ÷ 8 = 2 Step 2: Perform addition. 10 + 2 = 12 The simplified expression is 12. d) 7 × 2 + (8 - 3) Step 1: Perform the operation inside the parentheses. 8 - 3 = 5 Step 2: Perform multiplication. 7 × 2 = 14 Step 3: Perform addition. 14 + 5 = 19 The simplified expression is 19. 2. Simplify. a) (-45 ÷ (3 - 12)) + 6 Step 1: Perform the operation inside the innermost parentheses. 3 - 12 = -9 Step 2: Perform division. -45 ÷ (-9) = 5 Step 3: Perform addition. 5 + 6 = 11 The simplified expression is 11. b) 20 - 5 × 2 + (-21) ÷ 3 Step 1: Perform multiplication. 5 × 2 = 10 Step 2: Perform division. (-21) ÷ 3 = -7 Step 3: Rewrite the expression with the results. 20 - 10 + (-7) Step 4: Perform subtraction from left to right. 20 - 10 = 10 Step 5: Perform addition. 10 + (-7) = 3 The simplified expression is 3. c) -4 × [1 - (10 - 13)] Step 1: Perform the operation inside the innermost parentheses. 10 - 13 = -3 Step 2: Substitute the result back into the brackets. -4 × [1 - (-3)] Step 3: Simplify inside the brackets. 1 - (-3) = 1 + 3 = 4 Step 4: Perform multiplication. -4 × 4 = -16 The simplified expression is -16. d) 20 - \32 ÷ (16 ÷ 1 + 3)\ ÷ 2 + (-10) Step 1: Perform the innermost division. 16 ÷ 1 = 16 Step 2: Perform the addition inside the parentheses. 16 + 3 = 19 Step 3: Perform the division inside the curly braces. 32 ÷ 19 = (32)/(19) Step 4: Rewrite the expression. 20 - (32)/(19) ÷ 2 + (-10) Step 5: Perform the division. (32)/(19) ÷ 2 = (32)/(19) × (1)/(2) = (16)/(19) Step 6: Rewrite the expression. 20 - (16)/(19) - 10 Step 7: Perform subtraction from left to right. 20 - (16)/(19) = (380)/(19) - (16)/(19) = (364)/(19) Step 8: Perform the final subtraction. (364)/(19) - 10 = (364)/(19) - (190)/(19) = (174)/(19) The simplified expression is (174)/(19). e) (80 + 16) ÷ 8 × 9 + (-10) Step 1: Perform the operation inside the parentheses. 80 + 16 = 96 Step 2: Rewrite the expression. 96 ÷ 8 × 9 + (-10) Step 3: Perform division from left to right. 96 ÷ 8 = 12 Step 4: Perform multiplication. 12 × 9 = 108 Step 5: Perform addition. 108

Simplify the following expressions: a) 6 - 4 + 3, b) 15 - 4 imes 2, c) 10 + 16 / 8, d) 7 x 2 + (8 - 3). And a) (-45 / (3 - 12)) + 6, b) 20 - 5 x 2 + (-21) / 3.

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Simplify the following expressions: a) 6 - 4 + 3, b) 15 - 4 imes 2, c) 10 + 16 / 8, d) 7 x 2 + (8 - 3). And a) (-45 / (3 - 12)) + 6, b) 20 - 5 x 2 + (-21) / 3.

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