Multiply Decimals — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can multiply decimals and place the decimal point correctly in the product.

Language Objective: I can explain my work using the words product, decimal point, estimate, and decimal places.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1The answer to a multiplication problem is the .
2The dot that separates whole numbers from parts of a whole is the .
3Finding an answer that is close but not exact, to check if a product is reasonable, is to .
4The value a digit has based on its position is its .
5To place the point in a product, I count the total number of in both factors.

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

explain

When you multiplied 4.5 × 12.60, how did you decide where to put the decimal point in the product?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Product — The answer when you multiply.Producto — La respuesta cuando multiplicas. Decimal point — The dot that splits the whole number from the part after it.Punto decimal — El punto que separa el número entero de la parte que sigue. Estimate — A close answer you get by rounding first.Estimar — Una respuesta cercana que obtienes al redondear primero. Place value — What a digit is worth based on where it sits in a number.Valor posicional — Lo que vale un dígito según el lugar que ocupa en el número. Decimal places — How many digits come after the decimal point.Cifras decimales — Cuántos dígitos hay después del punto decimal.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

I counted ___ decimal places in the factors.Conté ___ lugares decimales en los factores.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: Rounding the factors gives a reasonable estimate of the product.

Evidence: Students round to about 5 × $13 = $65 (or 4 × $13) to predict the cost is in the $50-$65 range, naming 4.5 and 12.60 as the factors.

Reasoning: This evidence connects the definition of product to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

I counted ___ decimal places in the factors.Conté ___ lugares decimales en los factores.
So my product has ___ decimal places, giving $___.Entonces mi producto tiene ___ lugares decimales, dando $___.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.