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
Here are the solutions for questions 6 and 7. 6. Let's make mathematical expressions and simplify. a) 5 is subtracted from the sum of 8 and 7. Step 1: Write the expression. (8 + 7) - 5 Step 2: Simplify the expression. 15 - 5 = 10 10 b) 7 is added to the product of 5 and 6. Step 1: Write the expression. (5 × 6) + 7 Step 2: Simplify the expression. 30 + 7 = 37 37 c) 9 is subtracted from the product of 7 and 3. Step 1: Write the expression. (7 × 3) - 9 Step 2: Simplify the expression. 21 - 9 = 12 12 d) 8 is added to the quotient of 36 divided by 4. Step 1: Write the expression. (36 ÷ 4) + 8 Step 2: Simplify the expression. 9 + 8 = 17 17 e) The product of 7 and the quotient of 40 divided by 5. Step 1: Write the expression. 7 × (40 ÷ 5) Step 2: Simplify the expression. 7 × 8 = 56 56 7. Let's simplify these mixed operations. a) 27 ÷ 3 × 4 + 12 - 5 Step 1: Perform division. 9 × 4 + 12 - 5 Step 2: Perform multiplication. 36 + 12 - 5 Step 3: Perform addition. 48 - 5 Step 4: Perform subtraction. 43 43 b) 48 ÷ 8 × 7 + 5 - 10 Step 1: Perform division. 6 × 7 + 5 - 10 Step 2: Perform multiplication. 42 + 5 - 10 Step 3: Perform addition. 47 - 10 Step 4: Perform subtraction. 37 37 c) 10 × 9 + 63 ÷ 7 - 20 Step 1: Perform multiplication. 90 + 63 ÷ 7 - 20 Step 2: Perform division. 90 + 9 - 20 Step 3: Perform addition. 99 - 20 Step 4: Perform subtraction. 79 79 d) 40 + 4 × 3 - 32 ÷ 8 Step 1: Perform multiplication. 40 + 12 - 32 ÷ 8 Step 2: Perform division. 40 + 12 - 4 Step 3: Perform addition. 52 - 4 Step 4: Perform subtraction. 48 48 e) 35 - 12 + 6 × 36 ÷ 4 Step 1: Perform multiplication. 35 - 12 + 216 ÷ 4 Step 2: Perform division. 35 - 12 + 54 Step 3: Perform subtraction. 23 + 54 Step 4: Perform addition. 77 77 f) 8 × 5 - 15 + 10 × 27 ÷ 9 Step 1: Perform multiplications from left to right. 40 - 15 + 270 ÷ 9 Step 2: Perform division. 40 - 15 + 30 Step 3: Perform subtraction. 25 + 30 Step 4: Perform addition. 55 55 g) 3 + 8 × 72 ÷ 8 - 10 - 5 Step 1: Perform multiplication. 3 + 576 ÷ 8 - 10 - 5 Step 2: Perform division. 3 + 72 - 10 - 5 Step 3: Perform addition. 75 - 10 - 5 Step 4: Perform subtractions from left to right. 65 - 5 Step 5: Perform subtraction. 60 60 h) 15 - 6 + 7 × 63 ÷ 9 - 4 Step 1: Perform multiplication. 15 - 6 + 441 ÷ 9 - 4 Step 2: Perform division. 15 - 6 + 49 - 4 Step 3: Perform subtraction. 9 + 49 - 4 Step 4: Perform addition. 58 - 4 Step 5: Perform subtraction. 54 54 That's 2 down. 3 left today — send the next one.