Measurement Conversion

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Measurement Conversion · Grade 5 · Worksheet 1

1. Emma is helping her dad build a new fence around their rectangular backyard. The yard measures 15.5 meters long and 12.8 meters wide. They need to buy fence posts that are placed every 2.5 meters along the entire perimeter. How many fence posts do they need to buy? Answer: 23 Solution: Perimeter = 2 × (length + width) Perimeter = 2 × (15.5 + 12.8) Perimeter = 2 × 28.3 Perimeter = 56.6 meters Calculate how many sections of 2.5 meters fit in the perimeter Number of sections = Perimeter ÷ spacing Number of sections = 56.6 ÷ 2.5 Number of sections = 22.64 Since you can't have a…
   Full step-by-step solution

   Step 1: Calculate the perimeter of the rectangular yard Perimeter = 2 × (length + width) Perimeter = 2 × (15.5 + 12.8) Perimeter = 2 × 28.3 Perimeter = 56.6 meters Step 2: Calculate how many sections of 2.5 meters fit in the perimeter Number of sections = Perimeter ÷ spacing Number of sections = 56.6 ÷ 2.5 Number of sections = 22.64 Step 3: Since you can't have a fraction of a section, and posts are placed at the beginning and end of each section, round up to the nearest whole number Number of posts needed = 23 Step 4: Verify the calculation With 23 posts, there would be 22 sections of 2.5 meters each 22 × 2.5 = 55 meters Since the perimeter is 56.6 meters, the last section would be 1.6 meters, which is less than 2.5 meters, so this spacing works. The answer is 23 fence posts.

2. 2.5 × 3.6 = ? Answer: 9 Solution: Multiply 25 × 36 25 × 36 = 900 Count the total decimal places in the original numbers 2.5 has 1 decimal place 3.6 has 1 decimal place Total decimal places = 1 + 1 = 2 900 becomes 9.00 9.00 = 9 The answer is 9.
   Full step-by-step solution

   Step 1: Multiply 25 × 36 25 × 36 = 900 Step 2: Count the total decimal places in the original numbers 2.5 has 1 decimal place 3.6 has 1 decimal place Total decimal places = 1 + 1 = 2 Step 3: Place the decimal point in the product 900 becomes 9.00 Step 4: Simplify the answer 9.00 = 9 The answer is 9.

3. 7 yards 2 feet = __ feet Answer: 23 Solution: Recall that 1 yard = 3 feet. Convert 7 yards to feet: 7 × 3 = 21 feet. Add the extra 2 feet: 21 + 2 = 23 feet.
   Full step-by-step solution

   Step 1: Recall that 1 yard = 3 feet. Step 2: Convert 7 yards to feet: 7 × 3 = 21 feet. Step 3: Add the extra 2 feet: 21 + 2 = 23 feet. The answer is 23.

4. Emma is helping her science class set up a saltwater aquarium. They need to add 3.75 liters of saltwater to the tank, but their measuring container only shows milliliters. How many milliliters of saltwater should Emma measure out for the aquarium? Answer: 3750 milliliters Solution: When converting between liters and milliliters, it's helpful to know that 1 liter equals 1000 milliliters. This conversion works because the metric system is based on powers of 10.
   Full step-by-step solution

   When converting between liters and milliliters, it's helpful to know that 1 liter equals 1000 milliliters. This conversion works because the metric system is based on powers of 10. For example, if you had 2.5 liters of juice, you would multiply by 1000 to find how many milliliters that equals.

5. 4 yards 2 feet = __ feet Answer: 14 Solution: Recall that 1 yard = 3 feet. Convert 4 yards to feet: 4 × 3 = 12 feet. Add the extra 2 feet: 12 + 2 = 14 feet.
   Full step-by-step solution

   Step 1: Recall that 1 yard = 3 feet. Step 2: Convert 4 yards to feet: 4 × 3 = 12 feet. Step 3: Add the extra 2 feet: 12 + 2 = 14 feet. The answer is 14.

6. 2.75 × 4.8 = ? Answer: 13.2 Solution: Multiply 2.75 × 4.8 as if they were whole numbers: 275 × 48 275 × 40 = 11,000 275 × 8 = 2,200 Add the partial products: 11,000 + 2,200 = 13,200 Count the decimal places: 2.75 has 2 decimal places, 4.8 has 1 decimal place, so total of 3 decimal places Place the decimal point in 13,200 to get…
   Full step-by-step solution

   Step 1: Multiply 2.75 × 4.8 as if they were whole numbers: 275 × 48 Step 2: 275 × 40 = 11,000 Step 3: 275 × 8 = 2,200 Step 4: Add the partial products: 11,000 + 2,200 = 13,200 Step 5: Count the decimal places: 2.75 has 2 decimal places, 4.8 has 1 decimal place, so total of 3 decimal places Step 6: Place the decimal point in 13,200 to get 13.200 Step 7: Simplify: 13.200 = 13.2 The answer is 13.2.

7. 3.5 × 2.4 = ? Answer: 8.4 Solution: Write the numbers as fractions. 3.5 is the same as 35/10. 2.4 is the same as 24/10.
   Full step-by-step solution

   Let's multiply 3.5 × 2.4 step by step. Step 1: Write the numbers as fractions. 3.5 is the same as 35/10. 2.4 is the same as 24/10. Step 2: Multiply the fractions. (35/10) × (24/10) = (35 × 24) / (10 × 10) Step 3: Multiply the numerators. 35 × 24: First, 35 × 20 = 700 Then, 35 × 4 = 140 Add them: 700 + 140 = 840 So, 35 × 24 = 840. Step 4: Multiply the denominators. 10 × 10 = 100. Step 5: Combine numerator and denominator. We have 840 / 100. Step 6: Simplify the fraction. 840 ÷ 100 = 8.40, or 8.4. Final Answer: 8.4