Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 2, Lesson 7: Divide Decimals Using an Algorithm

Standard 6.NOS.3

What students are learning Qué aprenden

Key idea: To divide by a decimal, move its decimal point to the right until it is a whole number. Move the decimal point in the number you are dividing the same number of places. Then divide like whole numbers, and put the decimal point in the answer right above the new decimal point.Idea clave: Para dividir entre un decimal, mueve su punto decimal a la derecha hasta que sea un número entero. Mueve el punto decimal del número que estás dividiendo la misma cantidad de lugares. Luego divide como con números enteros y pon el punto decimal de la respuesta justo arriba del nuevo punto decimal.

Words to know Palabras clave

Divide Decimals Dividir decimales
Slide both decimal points right, then divide.
Desliza ambos puntos decimales a la derecha y luego divide.
Dividend Dividendo
The number you split up.
El número que se reparte en grupos.
Divisor Divisor
The number you divide by.
El número entre el que divides.
Quotient Cociente
The answer when you divide.
La respuesta de dividir.
Decimal Division Algorithm Algoritmo de división decimal
Slide both decimal points right the same amount. Then divide.
Mueve ambos puntos decimales a la derecha igual cantidad de lugares. Luego divide.
Equivalent division División equivalente
Multiply both numbers by 10 or 100. The answer is the same.
Multiplica ambos números por 10 o 100. La respuesta es igual.
Annex a zero Agregar un cero
Put a zero at the end of a decimal. The value stays.
Escribe un cero al final del decimal. El valor no cambia.
Algorithm Algoritmo
A set of steps you follow the same way every time.
Pasos que sigues de la misma manera cada vez.
Power of ten Potencia de diez
Ten, one hundred, one thousand, and so on.
Diez, cien, mil, y así sucesivamente.

Sentence starters Frases para empezar

I know ___ because ___.

First, I ___. Then, I ___.

The answer is ___, so ___.

How we did it in class today Cómo lo hicimos hoy en clase

  1. I want 18.9 ÷ 6.3. The divisor is 6.3, and long division needs a whole-number divisor.
  2. STEP 0 — MOVE THE POINT: I move the decimal point 1 place right in the divisor, so 6.3 becomes 63.
  3. I slide the decimal point 1 place to the right in the dividend too, so 18.9 becomes 189. Both points slid the same 1 place, so the answer does not change. The problem is now 189 ÷ 63.
  4. Now I write it the tall way — 63 into 189 — with the answer going on top of the bar and the answer's decimal point in the column directly above the dividend's point. Then I repeat the same four steps I always use: DIVIDE, MULTIPLY, SUBTRACT, BRING DOWN.
  5. DIVIDE: 63 does not fit into 1 or 18, so my first working number is 189. How many 63s fit into 189? Three. I write 3 above the 9.
  6. MULTIPLY: 3 × 63 = 189. I write it underneath.
  7. SUBTRACT: 189 − 189 = 0.
  8. BRING DOWN: there are no digits left to bring down, so the cycle is finished and the remainder is 0. 18.9 ÷ 6.3 = 3.
  9. I check by multiplying: 6.3 × 3 = 18.9. Correct — 18.9 ÷ 6.3 = 3.

Play with today's math Jueguen con las matemáticas

Long Division Calculator — Type any division problem and work it one step at a time. It checks each step and says what to fix.

Calculadora de división larga — Escriba cualquier problema de división y resuélvalo paso a paso. Revisa cada paso y le dice qué corregir.

Works on a phone, a tablet, or a computer. Nothing to install, nothing to sign in to.

Try this together Inténtenlo juntos

Pick one question to talk about. You don't need to do them all!

Match each decimal division to its quotient.

7.2 ÷ 0.8

Check the answer

The answer is: 9

Take-home sheet Hoja para llevar a casa

Lesson 2.7: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 2.7: Imprimir la hoja (PDF) · Respuestas y notas para conversar (PDF) · Editarla (Word)

If they get stuck... Si se traban...

Watch out for this: A common mistake in Divide Decimals is moving the decimal point in the divisor but forgetting to move it the same number of places in the dividend. For example, in 6.4 ÷ 0.8 a student changes 0.8 to 8 but leaves the dividend as 6.4, then divides 6.4 ÷ 8 = 0.8 instead of moving both points to get 64 ÷ 8 = 8. A second version of this mistake happens when the divisor has two decimal places, like 0.12: students move both points only 1 place instead of 2, turning 9.6 ÷ 0.12 into 96 ÷ 1.2 instead of the correct 960 ÷ 12. Count the divisor's decimal places first, then move BOTH points that same number of places.

Try asking: "Can you show me how you got that? Did we miss a step?"
Pregunte: «¿Puedes mostrarme cómo lo hiciste? ¿Nos saltamos algún paso?» Hablar de las matemáticas en voz alta ayuda mucho.

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