Dividing Decimals - Word Problem

🔑 Key Concepts

  • Division word problems often use key words like each, shared equally, or per group.
  • When dividing a decimal by a whole number, bring the decimal point straight up into the quotient.
  • When dividing by a decimal, make the divisor a whole number by moving the decimal in both numbers the same number of places.
  • Whole numbers can be written as decimals, such as \(12 = 12.0\), when needed.
  • 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 becomes much easier when students understand how place value works. If the divisor is a whole number, the decimal point goes straight up into the quotient. If the divisor is a decimal, move the decimal in both numbers the same number of places so the divisor becomes a whole number, then divide using the standard algorithm.

📚 What You Should Already Know

Before dividing decimals, 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 multiplying or dividing by powers of ten changes the position of the decimal point.

🚀 What Comes Next

After practicing decimal division, students can move into multi-step decimal word problems, operations with rational numbers, and real-world applications involving money, measurement, and rates. This skill also supports 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.