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Money Problems

Grade 4 · Decimals · Worksheet 2

  1. A rectangular swimming pool is drawn on a grid where each square unit represents 1 square meter. The pool has a length of 15.75 meters and a width of 8.5 meters. What is the total area of the pool in square meters?
    Answer: ______________
  2. A rectangular playground is drawn on a grid where each square unit represents 1 square meter. The playground has a length of 15.75 meters and a width of 12.25 meters. What is the total area of the playground in square meters?
    Answer: ______________
  3. Emma is buying art supplies for her class project. She needs a sketchbook that costs $12.75, colored pencils for $8.50, and watercolor paints for $15.25. If she has a $5.00 coupon, how much money will Emma need to pay for all her art supplies? Answer: ______________
  4. $14.85 + $9.65 = ? Answer: ______________
  5. Liam is saving money to buy a new video game that costs $45.75. He already has $28.50 saved from his allowance. For his birthday, his grandmother gives him $15.25. How much more money does Liam need to buy the video game? Answer: ______________
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Answer Key & Explanations

Money Problems · Grade 4 · Worksheet 2

  1. A rectangular swimming pool is drawn on a grid where each square unit represents 1 square meter. The pool has a length of 15.75 meters and a width of 8.5 meters. What is the total area of the pool in square meters? Answer: 133.875 Solution: Recall that the area of a rectangle is length × width Multiply 15.75 × 8.5 First multiply 15.75 × 8 = 126 Then multiply 15.75 × 0.5 = 7.875 Add the partial products: 126 + 7.875 = 133.875 The area is 133.875 square meters
    Full step-by-step solution

    Step 1: Recall that the area of a rectangle is length × width Step 2: Multiply 15.75 × 8.5 Step 3: First multiply 15.75 × 8 = 126 Step 4: Then multiply 15.75 × 0.5 = 7.875 Step 5: Add the partial products: 126 + 7.875 = 133.875 Step 6: The area is 133.875 square meters

  2. A rectangular playground is drawn on a grid where each square unit represents 1 square meter. The playground has a length of 15.75 meters and a width of 12.25 meters. What is the total area of the playground in square meters? Answer: 192.9375 Solution: The area of a rectangle is found by multiplying its length by its width. Multiply 15.75 by 12.25. First, multiply the numbers as if they were whole numbers: 1575 × 1225.
    Full step-by-step solution

    Step 1: The area of a rectangle is found by multiplying its length by its width. Step 2: Multiply 15.75 by 12.25. Step 3: First, multiply the numbers as if they were whole numbers: 1575 × 1225. Step 4: 1575 × 1000 = 1,575,000 Step 5: 1575 × 200 = 315,000 Step 6: 1575 × 20 = 31,500 Step 7: 1575 × 5 = 7,875 Step 8: Add the partial products: 1,575,000 + 315,000 = 1,890,000; 1,890,000 + 31,500 = 1,921,500; 1,921,500 + 7,875 = 1,929,375 Step 9: Since 15.75 has 2 decimal places and 12.25 has 2 decimal places, the product must have 4 decimal places. Step 10: Place the decimal point: 1,929,375 becomes 192.9375 Step 11: The total area is 192.9375 square meters.

  3. Emma is buying art supplies for her class project. She needs a sketchbook that costs $12.75, colored pencils for $8.50, and watercolor paints for $15.25. If she has a $5.00 coupon, how much money will Emma need to pay for all her art supplies? Answer: 31.50 Solution: Add the cost of the sketchbook and colored pencils: $12.75 + $8.50 = $21.25 Add the cost of watercolor paints to the total: $21.25 + $15.25 = $36.50 Subtract the coupon amount from the total: $36.50 - $5.00 = $31.50 Emma will need to pay $31.50 for all her art supplies.
    Full step-by-step solution

    Step 1: Add the cost of the sketchbook and colored pencils: $12.75 + $8.50 = $21.25 Step 2: Add the cost of watercolor paints to the total: $21.25 + $15.25 = $36.50 Step 3: Subtract the coupon amount from the total: $36.50 - $5.00 = $31.50 Emma will need to pay $31.50 for all her art supplies.

  4. $14.85 + $9.65 = ? Answer: 24.50 Solution: Write the numbers vertically, aligning the decimal points: 14.85 + 9.65 Add the hundredths place: 5 + 5 = 10. Write 0 in the hundredths place and carry over 1 to the tenths place.
    Full step-by-step solution

    Step 1: Write the numbers vertically, aligning the decimal points: 14.85 + 9.65 ------- Step 2: Add the hundredths place: 5 + 5 = 10. Write 0 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 8 + 6 + 1 (carried over) = 15. Write 5 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 4 + 9 + 1 (carried over) = 14. Write 4 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 1 (carried over) + 1 = 2. Write 2 in the tens place. Step 6: Bring down the decimal point. The final answer is $24.50.

  5. Liam is saving money to buy a new video game that costs $45.75. He already has $28.50 saved from his allowance. For his birthday, his grandmother gives him $15.25. How much more money does Liam need to buy the video game? Answer: 2.00 Solution: Find the total money Liam has so far. Liam already has $28.50 from his allowance. His grandmother gives him $15.25 for his birthday.
    Full step-by-step solution

    Let's go step-by-step. --- **Step 1: Find the total money Liam has so far.** Liam already has $28.50 from his allowance. His grandmother gives him $15.25 for his birthday. Total money = 28.50 + 15.25 28.50 + 15.25 = 43.75 So Liam has $43.75 now. --- **Step 2: Find how much more money he needs.** The video game costs $45.75. Money needed = Cost of game − Money he has Money needed = 45.75 − 43.75 --- **Step 3: Perform the subtraction.** 45.75 − 43.75 = 2.00 --- **Step 4: Conclusion.** Liam needs $2.00 more to buy the video game. **Final answer:** 2.00