Divide Decimals Using an Algorithm

6.NOS.3 · Unit 2 · Lesson 7

Name   Period

Objectives / Objetivos

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

Language Objective: I can explain my work using the words dividend, divisor, quotient, and equivalent division.

Key Idea / Idea clave

Decimal Division Algorithm. 1. Make the divisor a whole number: slide its decimal point to the right. 2. Slide the dividend's decimal point to the right the same number of places. 3. Write the answer's decimal point in the column directly above the dividend's point, then divide as whole numbers using Divide → Multiply → Subtract → Bring Down.

I Notice / Observo

  • What total amount is being divided?
  • What is the size of each pod?

I Wonder / Me pregunto

  • How do you divide when the divisor is a decimal?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Divide Decimals
Dividir decimales		Find a quotient with decimals by sliding both decimal points right until the divisor is a whole number.
Hallar un cociente con decimales deslizando ambos puntos decimales a la derecha hasta que el divisor sea un número entero.
Dividend
Dividendo		The total number being divided into equal groups (the number inside the division bracket).
El número total que se divide en grupos iguales (el número dentro de la galera de división).
Divisor
Divisor		The number of equal groups you are dividing into (the number outside the division bracket).
El número de grupos iguales en que divides (el número fuera de la galera de división).
Quotient
Cociente		The answer when you divide.
La respuesta cuando divides.
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.
Los pasos para dividir decimales: desliza el punto decimal del divisor a la derecha hasta que sea un número entero, desliza el punto del dividendo a la derecha el mismo número de lugares y luego divide.
Equivalent division
División equivalente		Multiplying both numbers by 10 or 100 gives the same answer.
Multiplicar ambos números por 10 o 100 da la misma respuesta.

Practice Preview / Vista previa de práctica

  1. What is 14.4 ÷ 1.2?
    1. 12
    2. 1.2
    3. 120
    4. 0.12
  2. Solve each decimal division problem.
  3. Match each decimal division to its quotient.
  4. Find Derek's Mistake
    1. Step 1: Problem — 7.2 ÷ 0.45
    2. Step 2: Multiply divisor by 10 — 0.45 × 10 = 4.5
    3. Step 3: Multiply dividend by 10 — 7.2 × 10 = 72
    4. Step 4: Divide — 72 ÷ 4.5 = 16

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: