Finding A Total Price When Given A Unit Price And Weight

🔑 Key Concepts

  • Unit price tells the cost for one pound, one item, or one unit.
  • To find total cost, multiply the unit price by the number of pounds purchased.
  • When multiplying decimals, first multiply as whole numbers.
  • Count the total number of decimal places in both factors to place the decimal in the product.
  • Money answers may sometimes need to be rounded, depending on the situation.

✏️ Worked Examples — Multiplying Unit Price by Pounds

🧠 Math Vocabulary

  • Unit Price: the cost for one unit, such as one pound.
  • Factor: a number being multiplied.
  • Product: the answer to a multiplication problem.
  • Decimal: a number that includes a decimal point to show parts of a whole.
  • Total Cost: the full amount paid after multiplying price per unit by quantity.

💡 Main Idea

This lesson shows how decimal multiplication can be used to find total cost when the unit price is known. In real-world shopping situations, students often know the price per pound and need to determine how much a purchase will cost for a given weight. Multiplying the unit price by the number of pounds provides the total amount.

📚 What You Should Already Know

Before working on this lesson, students should be comfortable multiplying whole numbers, understanding place value in decimals, and identifying a unit price. It also helps to understand that the total number of decimal places in the factors determines where the decimal goes in the product.

🚀 What Comes Next

After finding total cost using decimal multiplication, students can move into multi-step shopping problems, comparing prices across different quantities, and rounding answers to the nearest whole dollar when appropriate. This also connects naturally to unit rate, proportional reasoning, and other real-world applications of decimals.

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