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Unit 2: Fraction Detective Agency Lesson 2-7 6.NOS.3

Divide Decimals Using an Algorithm

I can divide with decimals by making the divisor a whole number first.

Speaking and writing goal: I can explain my work using the words dividend, divisor, quotient, and equivalent division.

What Your Child Is Learning

In this lesson, students practice how to divide with decimals by making the divisor a whole number first. They learn to show their thinking with numbers, pictures, words, or a model. The goal is not just getting an answer. Students should be able to explain why the answer makes sense.

Why This Matters

This skill supports everyday problem solving with money, measurements, games, planning, and checking whether an answer is reasonable.

What It May Look Like In Class

Your child may use the interactive lesson, guided notes, examples from the board, partner talk, and short practice problems. They may be asked to solve, draw a model, label important numbers, and explain their reasoning in a sentence.

How You Can Help At Home

You do not need to teach a new method. Ask your child to read the problem out loud, circle the important numbers, and explain what they tried first. Helpful questions include: What do you know? What are you trying to find? Does your answer make sense?

Apoyo para familias en español

Qué está aprendiendo su hijo/a

En esta lección, su hijo/a practica usar números con cuidado y explicar sus pasos. Puede usar dibujos, números, palabras o modelos para mostrar su pensamiento. Lo más importante es que pueda explicar por qué su respuesta tiene sentido.

Por qué es importante

Esta habilidad ayuda con dinero, medidas, juegos, planificación y con revisar si una respuesta es razonable.

Cómo puede ayudar en casa

No necesita ser experto/a en matemáticas. Pídale a su hijo/a que lea el problema en voz alta, marque los números importantes y explique su primer paso. Puede preguntar: ¿Qué sabes? ¿Qué necesitas encontrar? ¿Tu respuesta tiene sentido?

Key Vocabulary

Divide Decimals Dividir decimales

Find a quotient with decimals by sliding both decimal points right until the divisor is a whole number.

Example: 6.4 ÷ 0.8 rewritten as 64 ÷ 8

Dividend Dividendo

The total number being divided into equal groups (the number inside the division bracket).

Example: The 8.4 in 8.4 ÷ 2.1 (the total amount inside the bracket)

Divisor Divisor

The number of equal groups you are dividing into (the number outside the division bracket).

Example: The 2.1 in 8.4 ÷ 2.1 (the number outside the bracket)

Quotient Cociente

The answer when you divide.

Example: The 42 in 252 ÷ 6 = 42

Decimal Division Algorithm Algoritmo de división decimal

The steps for dividing decimals: slide the divisor's decimal point right until the divisor is a whole number, slide the dividend's point right the same number of places, then divide.

Example: 0.12)1.44 rewritten as 12)144

Equivalent division División equivalente

Multiplying both numbers by 10 or 100 gives the same answer.

Example: 64 ÷ 8 in place of 6.4 ÷ 0.8

Try It Together

Pick one or two problems. Let your child explain the first step before opening the answer.

  1. Estimate first, then solve: 48 / 6.
    Show answer

    Estimate about 50 / 5 = 10; exact answer 8

  2. Explain one way to check an answer.
    Show answer

    Use the opposite operation, a model, or estimation.

  3. Write a number story for 12 x 3.
    Show answer

    Answers vary; for example, 12 rows of 3 chairs.

  4. What should you do if an answer seems too big or too small?
    Show answer

    Re-read the problem and check with an estimate.