MathematicsNumber Representation & Place ValueAges 9–10

Place Value × 10 Pattern

Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10)

Lesson

Set out your lesson

Compare a nonzero digit in adjacent whole-number places. Explain why its value changes by a factor of ten.

Use the readiness card before Show. Check place names and values. Pause for prerequisite teaching when these are unclear.

Before teaching

Use this short check, then start teaching.

Givens

Use the column names below. Write or say both answers. | Ten thousands | Thousands | Hundreds | Tens | Ones | | --- | --- | --- | --- | --- | | ____ | ____ | ____ | ____ | ____ | R1. In 2,047, what value does the digit 4 represent? R2. Write 38 as tens and ones.

R1. Value of 4:

R2. Tens: ____; ones:

Printer, credit, and teaching notes

Credit

Original Gakuva place-value teaching and charts. Canonical target: Marble Skill Taxonomy v1, Generative Spark, Inc., commit 96a7933754af672e1bfdbf7ecb05c325860c6e0d. Database: ODbL-1.0. Content: CC-BY-SA-4.0.

No Printer

Copy the five column headings onto plain paper. Draw one empty row for each supplied number. Write or say the requested explanation. Record adult reading or transcription separately.

Check the actual response before Show. Record help rather than assuming readiness.

Use plain paper and a pencil. Open one learner card at a time. Keep adult keys separate. Read the unit reference aloud if needed.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view.

How this lesson works

Complete five-place charts make the column units and unchanged digit visible. Empty charts support paper responses. No digital interaction is needed.

Next: Show

Adult extras

Teaching limits and safe use

These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.

These examples use whole-number places, not decimals.
A zero digit still represents zero. Do not calculate a ratio by dividing zero by zero.
The unit reference remains available. These tasks do not measure recall without a reference.
Record spoken reasoning and actual written placement separately.

Record the actual response and support. These activities do not establish mastery.

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Entire curriculum

1858 concepts · 9 subjects

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Teaching approaches

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Compare a nonzero digit in adjacent whole-number places. Explain why its value changes by a factor of ten.

Family records and proof options

Keep a record of your learning

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

View learner plans ($12/mo per learner) See sample family archive

Learning resources

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

Illustrative Mathematics · Practice link — not the full lesson

Kipton's Scale

Open practice(new tab)

Before you open · source notes

A scale story supports noticing ×10 place-value patterns. Not every long-division step.

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 to say what happens to a digit’s value when the number is multiplied by 10.

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. “Kipton's Scale.” 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

Explain that the 3 in 3,000 is ten times the 3 in 300
Complete: 700 ÷ 70 = __ and explain using place-value reasoning
State how many times greater the value of the 5 in 50,000 is than the 5 in 5,000

“Can your child explain that in 700, the 7 is worth 10 times more than in 70 — because moving one place to the left multiplies the value by 10?”

Curriculum record

Type: Conceptual
Subject: Mathematics
Domain: Number Representation & Place Value
Age range: Ages 9–10

Standards

acara-v9:AC9M4N05ccss-math:4.NBT.1the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G4-B2.3