Write Expressions

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Answer Key & Explanations

Write Expressions · Grade 5 · Worksheet 3

1. (6.4 × 7) + (87.5 ÷ 5) = ? Answer: 62.3 Solution: Calculate the multiplication inside the first parentheses: 6.4 × 7 = 44.8 Calculate the division inside the second parentheses: 87.5 ÷ 5 = 17.5 Add the results from Step 1 and Step 2: 44.8 + 17.5 = 62.3 The answer is 62.3.
   Full step-by-step solution

   Step 1: Calculate the multiplication inside the first parentheses: 6.4 × 7 = 44.8 Step 2: Calculate the division inside the second parentheses: 87.5 ÷ 5 = 17.5 Step 3: Add the results from Step 1 and Step 2: 44.8 + 17.5 = 62.3 The answer is 62.3.

2. Liam is building a rectangular garden bed that is 3.5 meters long and 2.25 meters wide. He wants to put a decorative border around the entire garden. What is the total distance around the garden bed that Liam needs to border? Answer: 11.5 meters Solution: To find the total distance around the garden bed, we need to calculate the perimeter of the rectangle. Recall the formula for the perimeter of a rectangle. Perimeter = 2 × (length + width) Identify the given measurements.
   Full step-by-step solution

   To find the total distance around the garden bed, we need to calculate the perimeter of the rectangle. Step 1: Recall the formula for the perimeter of a rectangle. Perimeter = 2 × (length + width) Step 2: Identify the given measurements. Length = 3.5 meters Width = 2.25 meters Step 3: Add the length and the width. 3.5 + 2.25 = 5.75 meters Step 4: Multiply the sum by 2. 2 × 5.75 = 11.5 meters Step 5: State the final answer. The total distance around the garden bed that Liam needs to border is 11.5 meters.

3. (6.25 × 8) + (42.3 ÷ 9) = ? Answer: 54.7 Solution: Calculate the multiplication inside the first parentheses: 6.25 × 8 = 50 Calculate the division inside the second parentheses: 42.3 ÷ 9 = 4.7 Add the results from Step 1 and Step 2: 50 + 4.7 = 54.7 The answer is 54.7.
   Full step-by-step solution

   Step 1: Calculate the multiplication inside the first parentheses: 6.25 × 8 = 50 Step 2: Calculate the division inside the second parentheses: 42.3 ÷ 9 = 4.7 Step 3: Add the results from Step 1 and Step 2: 50 + 4.7 = 54.7 The answer is 54.7.

4. Write an expression: 8 more than 7 times 9 Answer: (7 × 9) + 8 Solution: Identify the multiplication part: '7 times 9' means 7 × 9. Identify the addition part: '8 more than' means add 8 to the result. Write the expression with parentheses to show multiplication first: (7 × 9) + 8.
   Full step-by-step solution

   Step 1: Identify the multiplication part: '7 times 9' means 7 × 9. Step 2: Identify the addition part: '8 more than' means add 8 to the result. Step 3: Write the expression with parentheses to show multiplication first: (7 × 9) + 8. The expression is (7 × 9) + 8.

5. Write an expression: 14 more than 9 times 23. Answer: (9 × 23) + 14 Solution: Identify the multiplication part: '9 times 23' means 9 × 23. Identify the addition part: '14 more than' means add 14 to the result. Write the expression with parentheses to show multiplication first: (9 × 23) + 14.
   Full step-by-step solution

   Step 1: Identify the multiplication part: '9 times 23' means 9 × 23. Step 2: Identify the addition part: '14 more than' means add 14 to the result. Step 3: Write the expression with parentheses to show multiplication first: (9 × 23) + 14. The expression is (9 × 23) + 14.

6. Write an expression: 18 more than 7 times 23. Answer: (7 × 23) + 18 Solution: Identify the multiplication part: '7 times 23' means 7 × 23. Identify the addition part: '18 more than' means add 18 to the result of the multiplication.
   Full step-by-step solution

   Step 1: Identify the multiplication part: '7 times 23' means 7 × 23. Step 2: Identify the addition part: '18 more than' means add 18 to the result of the multiplication. Step 3: Write the expression with parentheses to show multiplication first: (7 × 23) + 18. The expression is (7 × 23) + 18.

7. Write an expression: 11 more than 13 times 17 Answer: (13 × 17) + 11 Solution: Identify the multiplication part: '13 times 17' means 13 × 17. Identify the addition part: '11 more than' means add 11 to the result. Write the expression with parentheses to show multiplication first: (13 × 17) + 11.
   Full step-by-step solution

   Step 1: Identify the multiplication part: '13 times 17' means 13 × 17. Step 2: Identify the addition part: '11 more than' means add 11 to the result. Step 3: Write the expression with parentheses to show multiplication first: (13 × 17) + 11. The expression is (13 × 17) + 11.

8. A rectangular garden is divided into 4 equal square sections. Each square section has a side length of 12 meters. What is the total area of the entire garden? Answer: 576 Solution: Find the area of one square section. Area of a square = side × side = 12 m × 12 m = 144 square meters. Since there are 4 equal sections, multiply the area of one section by 4: 144 × 4.
   Full step-by-step solution

   Step 1: Find the area of one square section. Area of a square = side × side = 12 m × 12 m = 144 square meters. Step 2: Since there are 4 equal sections, multiply the area of one section by 4: 144 × 4. Step 3: Calculate 144 × 4 = 576. Step 4: The total area of the entire garden is 576 square meters. The answer is 576.