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MathematicsMultiplication & DivisionAges 10–13

Multiplying decimals by whole numbers

Multiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6)

Lesson

Set out your lesson

“Multiplying decimals by whole numbers means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”

Bring to the table

  • Place-value grid (ones / tenths)
  • Pencil
Extra for the adult

Worked example. Three tenths on the grid is 0.3.

Optional challenge. For Multiplying decimals by whole numbers, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Multiplying decimals by whole numbers, not mastery.

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Family records and proof options

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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

Practice this concept

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Gakuva activity

Multiplying decimals by whole numbers practice

Practice key ideas from Multiplying decimals by whole numbers.

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

Illustrative Mathematics · Practice link — not the full lesson

To Multiply or not to multiply?

Open practice (new tab)
Before you open · source notes

To Multiply or not to multiply? supports deciding when multiplication applies, including decimal contexts with wholes. Not every addition story.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

Before you open

Ask the learner whether to multiply and find the product with a whole-number factor.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.

Illustrative Mathematics. “To Multiply or not to multiply?.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.

CC BY-NC-SA 4.0 — link only

Check understanding

  • Correctly compute 4.56 × 7 using a written method
  • Use place-value reasoning to explain why 3.2 × 5 = 16.0
  • Model a decimal multiplication using an area diagram or expanded form
“Can your child work out '3.47 × 6' — keeping the decimal point in the right place and carrying correctly through each column?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Multiplication & Division
Age range
Ages 10–13

Standards

acara-v9:AC9M6N06ccss-math:5.NBT.7the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B2.7the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B2.8the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-C2.2the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B2.9the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-C2.2uk-nc-2013:Ma6/2.3h