Decimal Division

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Decimal Division · Grade 5 · Worksheet 2

1. Emma is baking cookies for a school bake sale. She has 3.75 kilograms of chocolate chips to distribute equally among 15 cookie batches. How many kilograms of chocolate chips should she use for each batch? Answer: 0.25 Solution: Step 1: Identify the total amount of chocolate chips: 3.75 kg Step 2: Identify the number of batches: 15 Step 3: Divide the total chocolate chips by the number of batches: 3.75 ÷ 15 Step 4: Perform the division: 3.75 ÷ 15 = 0.25 Step 5: Verify: 0.25 kg per batch × 15 batches = 3.75 kg total The…
   Full step-by-step solution

   Step 1: Identify the total amount of chocolate chips: 3.75 kg Step 2: Identify the number of batches: 15 Step 3: Divide the total chocolate chips by the number of batches: 3.75 ÷ 15 Step 4: Perform the division: 3.75 ÷ 15 = 0.25 Step 5: Verify: 0.25 kg per batch × 15 batches = 3.75 kg total The answer is 0.25 kilograms.

2. Emma is drawing a rectangular playground on a coordinate grid. The corners of the playground are at (0, 0), (10, 0), (10, 8), and (0, 8). Each unit on the grid represents 1.5 meters. Emma wants to divide the playground into 5 equal rectangular sections by drawing 4 equally spaced vertical lines from top to bottom. What is the width of each section in meters? Answer: 3 Solution: Find the width of the playground in grid units. The left side is at x = 0 and the right side is at x = 10. Width in grid units = 10 - 0 = 10 units.
   Full step-by-step solution

   Step 1: Find the width of the playground in grid units. The left side is at x = 0 and the right side is at x = 10. Width in grid units = 10 - 0 = 10 units. Step 2: Convert the width to meters. Each unit represents 1.5 meters. Total width in meters = 10 x 1.5 = 15 meters. Step 3: Find the width of each section. The playground is divided into 5 equal sections. Width of each section = 15 meters ÷ 5 = 3 meters. The width of each section is 3 meters.

3. Emma is baking cookies for a school bake sale. She has 6.75 kilograms of chocolate chips to distribute equally among 15 large cookie batches. How many kilograms of chocolate chips should she use for each batch? Answer: 0.45 Solution: Step 1: Identify the total amount of chocolate chips: 6.75 kilograms Step 2: Identify the number of batches: 15 Step 3: Divide the total chocolate chips by the number of batches: 6.75 ÷ 15 Step 4: Set up the division: 15 × 0.45 = 6.75 Step 5: Verify: 15 × 0.45 = 6.75, which matches our total…
   Full step-by-step solution

   Step 1: Identify the total amount of chocolate chips: 6.75 kilograms Step 2: Identify the number of batches: 15 Step 3: Divide the total chocolate chips by the number of batches: 6.75 ÷ 15 Step 4: Set up the division: 15 × 0.45 = 6.75 Step 5: Verify: 15 × 0.45 = 6.75, which matches our total Step 6: Therefore, each batch gets 0.45 kilograms of chocolate chips The answer is 0.45.

4. Noah is helping his family prepare care packages for a local shelter. He has 8.4 kilograms of rice to divide equally among 7 bags. How many kilograms of rice should Noah put in each bag? Answer: 1.2 Solution: Identify the total amount of rice: 8.4 kilograms Identify the number of bags: 7 To find the amount per bag, divide the total rice by the number of bags: 8.4 ÷ 7 Perform the division: 8.4 ÷ 7 = 1.2 Check the calculation: 7 × 1.2 = 8.4, which confirms our answer.
   Full step-by-step solution

   Step 1: Identify the total amount of rice: 8.4 kilograms Step 2: Identify the number of bags: 7 Step 3: To find the amount per bag, divide the total rice by the number of bags: 8.4 ÷ 7 Step 4: Perform the division: 8.4 ÷ 7 = 1.2 Step 5: Check the calculation: 7 × 1.2 = 8.4, which confirms our answer. The answer is 1.2 kilograms.

5. Mere is designing a rectangular garden on a coordinate grid. The garden has corners at (3, 2), (12, 2), (12, 7), and (3, 7). Each unit on the grid represents 0.8 meters. Mere wants to divide the garden into 5 equal rectangular sections by drawing 4 equally spaced vertical lines. What is the width of each section in meters? Answer: 1.44 Solution: Find the width of the garden in grid units. The x-coordinates go from 3 to 12, so the width is 12 - 3 = 9 units. Convert grid units to meters.
   Full step-by-step solution

   Step 1: Find the width of the garden in grid units. The x-coordinates go from 3 to 12, so the width is 12 - 3 = 9 units. Step 2: Convert grid units to meters. Each unit represents 0.8 meters, so the total width in meters is 9 × 0.8 = 7.2 meters. Step 3: Determine the number of sections. Four equally spaced vertical lines divide the garden into 5 equal rectangular sections. Step 4: Divide the total width by the number of sections to find the width of each section: 7.2 ÷ 5 = 1.44 meters. The width of each section is 1.44 meters.

6. Matiu is helping to build a community garden path. He has a roll of edging material that is 22.4 meters long. He needs to cut it into 7 equal pieces to border each garden bed. How many meters long will each piece of edging material be? Answer: 3.2 Solution: Identify the total length of edging material: 22.4 meters. Identify the number of equal pieces needed: 7 pieces. To find the length of each piece, divide the total length by the number of pieces: 22.4 ÷ 7.
   Full step-by-step solution

   Step 1: Identify the total length of edging material: 22.4 meters. Step 2: Identify the number of equal pieces needed: 7 pieces. Step 3: To find the length of each piece, divide the total length by the number of pieces: 22.4 ÷ 7. Step 4: Perform the division. First, divide the whole number part: 22 ÷ 7 = 3 (since 7 × 3 = 21), with a remainder of 1. Step 5: Bring down the decimal point and the tenths digit (4) to make 14 tenths. Step 6: Divide 14 tenths by 7: 14 ÷ 7 = 2 tenths. Step 7: So, 22.4 ÷ 7 = 3.2. Step 8: Check by multiplying: 7 × 3.2 = 22.4, which matches the total. Each piece of edging material will be 3.2 meters long.

7. A rectangular mural is painted on a wall with corners at coordinates (3, 4), (15, 4), (15, 10), and (3, 10) on a grid. Each unit on the grid represents 1.5 feet. The mural is divided into 9 equal vertical sections, each painted a different color. What is the width of each vertical section in feet? Answer: 2.0 Solution: Find the width of the mural in grid units. The left side is at x = 3 and the right side is at x = 15. Width = 15 - 3 = 12 units.
   Full step-by-step solution

   Step 1: Find the width of the mural in grid units. The left side is at x = 3 and the right side is at x = 15. Width = 15 - 3 = 12 units. Step 2: Convert grid units to feet. Each unit represents 1.5 feet, so total width = 12 × 1.5 = 18 feet. Step 3: Divide the total width by the number of vertical sections to find the width of each section. Width per section = 18 ÷ 9 = 2.0 feet. The answer is 2.0.

8. 12.96 ÷ 4 = ? Answer: 3.24 Solution: Step 1: Write the division problem: 12.96 ÷ 4 Step 2: Divide the whole number part first: 12 ÷ 4 = 3 Step 3: Bring down the decimal point to the quotient Step 4: Divide the decimal part: 96 ÷ 4 = 24 Step 5: Combine the results: 3.24 Step 6: Verify: 3.24 × 4 = 12.96 The answer is 3.24.
   Full step-by-step solution

   Step 1: Write the division problem: 12.96 ÷ 4 Step 2: Divide the whole number part first: 12 ÷ 4 = 3 Step 3: Bring down the decimal point to the quotient Step 4: Divide the decimal part: 96 ÷ 4 = 24 Step 5: Combine the results: 3.24 Step 6: Verify: 3.24 × 4 = 12.96 The answer is 3.24.