Order of Operations

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Order of Operations · Grade 5 · Worksheet 1

1. (48 ÷ 6) × (15 - 7) + 25 = ? Answer: 89 Solution: Solve inside the first parentheses: 48 ÷ 6 = 8 Solve inside the second parentheses: 15 - 7 = 8 Multiply the results: 8 × 8 = 64 Add 25 to the product: 64 + 25 = 89 The answer is 89.
   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: Multiply the results: 8 × 8 = 64 Step 4: Add 25 to the product: 64 + 25 = 89 The answer is 89.

2. Emma is baking cookies for a school fundraiser. She needs to make 5 batches of chocolate chip cookies and 3 batches of oatmeal raisin cookies. Each batch requires 0.75 cups of sugar. How many cups of sugar does Emma need in total? Answer: 6 Solution: Find the total number of batches Emma is making: 5 batches + 3 batches = 8 batches Multiply the number of batches by the sugar needed per batch: 8 × 0.75 Calculate 8 × 0.75 = 6 Emma needs 6 cups of sugar in total.
   Full step-by-step solution

   Step 1: Find the total number of batches Emma is making: 5 batches + 3 batches = 8 batches Step 2: Multiply the number of batches by the sugar needed per batch: 8 × 0.75 Step 3: Calculate 8 × 0.75 = 6 Emma needs 6 cups of sugar in total.

3. A rectangular garden is divided into 4 equal sections. The entire garden measures 12 meters long by 8 meters wide. If you walk along the outside edge of the garden, what is the total distance you walk in meters? Answer: 40 Solution: The garden is a rectangle measuring 12 meters by 8 meters. The distance around the outside edge is the perimeter of the rectangle. The formula for the perimeter of a rectangle is P = 2 × (length + width).
   Full step-by-step solution

   Step 1: The garden is a rectangle measuring 12 meters by 8 meters. Step 2: The distance around the outside edge is the perimeter of the rectangle. Step 3: The formula for the perimeter of a rectangle is P = 2 × (length + width). Step 4: Substitute the values: P = 2 × (12 + 8). Step 5: Calculate inside the parentheses: 12 + 8 = 20. Step 6: Multiply by 2: 2 × 20 = 40. Step 7: The total distance walked is 40 meters.

4. Liam is building a rectangular garden bed that measures 3.5 meters long and 2.25 meters wide. He wants to put a decorative fence around the entire perimeter. How many meters of fencing does Liam need to buy? Answer: 11.5 Solution: To find the total length of fencing needed, we need to calculate the perimeter of the rectangular garden bed. Recall the formula for the perimeter of a rectangle. The perimeter P is given by P = 2 * (length + width).
   Full step-by-step solution

   To find the total length of fencing needed, we need to calculate the perimeter of the rectangular garden bed. Step 1: Recall the formula for the perimeter of a rectangle. The perimeter P is given by P = 2 * (length + width). Step 2: Identify the given measurements. Length = 3.5 meters Width = 2.25 meters Step 3: Substitute the values into the formula. P = 2 * (3.5 + 2.25) Step 4: Perform the addition inside the parentheses. 3.5 + 2.25 = 5.75 Step 5: Multiply the result by 2. P = 2 * 5.75 = 11.5 Step 6: State the final answer. Liam needs to buy 11.5 meters of fencing.

5. (900 - 150) × 4 + 600 ÷ 3 = ? Answer: 3200 Solution: Solve inside the parentheses: 900 - 150 = 750 The expression becomes: 750 × 4 + 600 ÷ 3 Perform multiplication and division from left to right: 750 × 4 = 3000 and 600 ÷ 3 = 200 The expression becomes: 3000 + 200 Perform addition: 3000 + 200 = 3200 The answer is 3200.
   Full step-by-step solution

   Step 1: Solve inside the parentheses: 900 - 150 = 750 Step 2: The expression becomes: 750 × 4 + 600 ÷ 3 Step 3: Perform multiplication and division from left to right: 750 × 4 = 3000 and 600 ÷ 3 = 200 Step 4: The expression becomes: 3000 + 200 Step 5: Perform addition: 3000 + 200 = 3200 The answer is 3200.

6. Matiu is helping his family pack boxes for a moving sale. He puts 8 toys in each of 6 boxes, and then his mother adds 4 more toys to each box. Later, they remove 12 toys from the total to keep for themselves. How many toys are in the boxes now? Answer: 60 Solution: First, calculate the total number of toys after packing and adding. There are 6 boxes, and each box gets 8 toys, then 4 more. So each box has 8 + 4 = 12 toys.
   Full step-by-step solution

   Step 1: First, calculate the total number of toys after packing and adding. There are 6 boxes, and each box gets 8 toys, then 4 more. So each box has 8 + 4 = 12 toys. Total so far: 6 × 12 = 72 toys. Step 2: Then remove 12 toys: 72 - 12 = 60 toys. The answer is 60.

7. Matiu is packing gift bags for a school fair. He puts 8 stickers and 6 pencils into each bag. He makes 4 bags in the morning and then 3 more bags in the afternoon. Matiu uses the expression (8 + 6) × (4 + 3) to find the total number of items he packed. How many total items did Matiu pack? Answer: 98 Solution: Calculate inside the first parentheses: 8 + 6 = 14 items per bag. Calculate inside the second parentheses: 4 + 3 = 7 bags total. Multiply the two results: 14 × 7 = 98.
   Full step-by-step solution

   Step 1: Calculate inside the first parentheses: 8 + 6 = 14 items per bag. Step 2: Calculate inside the second parentheses: 4 + 3 = 7 bags total. Step 3: Multiply the two results: 14 × 7 = 98. The answer is 98 total items.