Finding Average When The Total Is Given

🔑 Key Concepts

  • Dividing decimals often begins by making the divisor a whole number.
  • To make the divisor whole, move the decimal point in the divisor to the right.
  • Whatever you do to the divisor, you must do the same thing to the dividend.
  • Once the divisor is a whole number, divide as you would with standard long division.
  • Unit price problems use division to find the cost for one item, one pound, one ounce, or one unit.

✏️ Worked Examples

🧠 Math Vocabulary

  • Dividend: the number being divided.
  • Divisor: the number you are dividing by.
  • Quotient: the answer to a division problem.
  • Decimal point: the symbol that separates whole numbers from fractional parts.
  • Unit price: the cost of one item or one unit.

💡 Main Idea

Dividing decimals becomes much easier when the divisor is a whole number. If the divisor has a decimal, move its decimal point to the right until it becomes whole, and move the decimal point in the dividend the same number of places. This process is especially useful when finding unit price, because it helps you determine the cost for one unit in a clear and organized way.

📚 What You Should Already Know

Before working on decimal division, students should be comfortable with basic long division, place value, and moving decimal points. It also helps to understand that multiplying both the dividend and divisor by the same power of 10 does not change the value of the quotient.

🚀 What Comes Next

After learning to divide decimals, students can apply the same ideas to multi-step word problems, shopping comparisons, and rate problems involving money, measurement, and real-world unit price situations. This skill also connects to proportional reasoning and solving problems with rational numbers.

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