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Order of Operations

Grade 5 · Mathematics · Worksheet 2

  1. (816 + 184) × 3 - 250 ÷ 5 = ? Answer: ______________
  2. (125 + 75) ÷ (8 × 5) = ? Answer: ______________
  3. A rectangular prism-shaped fish tank has a length of 12 cm, a width of 8 cm, and a height of 10 cm. What is the volume of the fish tank in cubic centimeters?
    Answer: ______________
  4. (720 + 280) ÷ 5 × 3 - 150 = ? Answer: ______________
  5. Kaia is drawing a pattern of alternating triangles and squares. She draws a triangle with a base of 7 cm and a height of 5 cm, and a square with a side length of 7 cm. She then adds the perimeter of the triangle (all three sides are equal to the base) to the area of the square. What is the value of the expression (7 + 7 + 7) + (7 × 7)?
    Answer: ______________
  6. (48 ÷ 6) × (15 - 7) + 3² = ? Answer: ______________
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Answer Key & Explanations

Order of Operations · Grade 5 · Worksheet 2

  1. (816 + 184) × 3 - 250 ÷ 5 = ? Answer: 2950 Solution: Solve inside the parentheses: 816 + 184 = 1000 The expression becomes: 1000 × 3 - 250 ÷ 5 Perform multiplication and division from left to right: 1000 × 3 = 3000 and 250 ÷ 5 = 50 The expression becomes: 3000 - 50 Perform subtraction: 3000 - 50 = 2950 The answer is 2950.
    Full step-by-step solution

    Step 1: Solve inside the parentheses: 816 + 184 = 1000 Step 2: The expression becomes: 1000 × 3 - 250 ÷ 5 Step 3: Perform multiplication and division from left to right: 1000 × 3 = 3000 and 250 ÷ 5 = 50 Step 4: The expression becomes: 3000 - 50 Step 5: Perform subtraction: 3000 - 50 = 2950 The answer is 2950.

  2. (125 + 75) ÷ (8 × 5) = ? Answer: 5 Solution: Calculate inside the first parentheses: 125 + 75 = 200 Calculate inside the second parentheses: 8 × 5 = 40 Divide the results: 200 ÷ 40 = 5 The answer is 5.
    Full step-by-step solution

    Step 1: Calculate inside the first parentheses: 125 + 75 = 200 Step 2: Calculate inside the second parentheses: 8 × 5 = 40 Step 3: Divide the results: 200 ÷ 40 = 5 The answer is 5.

  3. A rectangular prism-shaped fish tank has a length of 12 cm, a width of 8 cm, and a height of 10 cm. What is the volume of the fish tank in cubic centimeters? Answer: 960 Solution: To find the volume of a rectangular prism, we use the formula: Volume = length × width × height Identify the given dimensions. Length = 12 cm Width = 8 cm Height = 10 cm Substitute the given numbers into the formula.
    Full step-by-step solution

    To find the volume of a rectangular prism, we use the formula: Volume = length × width × height Step 1: Identify the given dimensions. Length = 12 cm Width = 8 cm Height = 10 cm Step 2: Substitute the given numbers into the formula. Volume = 12 × 8 × 10 Step 3: Perform the multiplication step by step. First, multiply the length and the width: 12 × 8 = 96 Step 4: Multiply the result by the height. 96 × 10 = 960 Step 5: State the final answer with the correct units. The volume of the fish tank is 960 cubic centimeters. Therefore, the correct answer is 960.

  4. (720 + 280) ÷ 5 × 3 - 150 = ? Answer: 450 Solution: Solve inside the parentheses: 720 + 280 = 1000 The expression becomes: 1000 ÷ 5 × 3 - 150 Perform division and multiplication from left to right: 1000 ÷ 5 = 200, then 200 × 3 = 600 The expression becomes: 600 - 150 Perform subtraction: 600 - 150 = 450 The answer is 450.
    Full step-by-step solution

    Step 1: Solve inside the parentheses: 720 + 280 = 1000 Step 2: The expression becomes: 1000 ÷ 5 × 3 - 150 Step 3: Perform division and multiplication from left to right: 1000 ÷ 5 = 200, then 200 × 3 = 600 Step 4: The expression becomes: 600 - 150 Step 5: Perform subtraction: 600 - 150 = 450 The answer is 450.

  5. Kaia is drawing a pattern of alternating triangles and squares. She draws a triangle with a base of 7 cm and a height of 5 cm, and a square with a side length of 7 cm. She then adds the perimeter of the triangle (all three sides are equal to the base) to the area of the square. What is the value of the expression (7 + 7 + 7) + (7 × 7)? Answer: 70 Solution: Calculate the perimeter of the triangle. Since all three sides are equal to the base (7 cm), the perimeter is 7 + 7 + 7 = 21. Calculate the area of the square.
    Full step-by-step solution

    Step 1: Calculate the perimeter of the triangle. Since all three sides are equal to the base (7 cm), the perimeter is 7 + 7 + 7 = 21. Step 2: Calculate the area of the square. Area = side × side = 7 × 7 = 49. Step 3: Add the two results together: 21 + 49 = 70. The answer is 70.

  6. (48 ÷ 6) × (15 - 7) + 3² = ? Answer: 73 Solution: Solve inside the first parentheses: 48 ÷ 6 = 8 Solve inside the second parentheses: 15 - 7 = 8 Calculate the exponent: 3² = 9 Multiply the results from steps 1 and 2: 8 × 8 = 64 Add the result from step 4 to the result from step 3: 64 + 9 = 73 The answer is 73.
    Full step-by-step solution

    Step 1: Solve inside the first parentheses: 48 ÷ 6 = 8 Step 2: Solve inside the second parentheses: 15 - 7 = 8 Step 3: Calculate the exponent: 3² = 9 Step 4: Multiply the results from steps 1 and 2: 8 × 8 = 64 Step 5: Add the result from step 4 to the result from step 3: 64 + 9 = 73 The answer is 73.