Dividing Decimals - 3 Examples

🔑 Key Concepts

  • When dividing a decimal by a whole number, bring the decimal point straight up into the quotient.
  • When dividing by a decimal, move the decimal point in both numbers the same number of places so the divisor becomes a whole number.
  • Whole numbers can be written as decimals, such as \(54 = 54.0\), when needed.
  • Continue dividing by place value and add zeros to the dividend when necessary.
  • Check your answer by multiplying the quotient by the divisor.

✏️ Dividing Decimal 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 the whole-number part from the fractional part of a decimal.
  • Equivalent Division Problem: a new division problem made by moving the decimal the same number of places in both the dividend and divisor.

💡 Main Idea

Dividing decimals follows the same long division structure students already know from whole numbers, but place value becomes especially important. When the divisor is a whole number, the decimal point goes straight up into the quotient. When the divisor is a decimal, move the decimal in both numbers the same number of places so the divisor becomes a whole number before dividing.

📚 What You Should Already Know

Before working with decimal division, students should be comfortable with basic division facts, long division with whole numbers, and decimal place value. It also helps to understand that whole numbers can be written as decimals and that moving the decimal point the same number of places in both numbers creates an equivalent division problem.

🚀 What Comes Next

After practicing decimal division, students can move into decimal word problems, operations with rational numbers, and real-world applications involving money, measurement, and rates. These skills also support later work with proportions, unit rates, and algebraic reasoning.

🧩 Embed This Video in Your LMS

Teachers can embed this YouTube video directly into Canvas, Google Classroom, Schoology, or another learning platform. Click below to show the embed code.