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MathematicsNumber Representation & Place ValueAges 8–13

Comparing Large Numbers

Order and compare numbers beyond 1000

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1858 concepts · 9 subjects

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Comparing Large 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.

Materials: Counters or paper models for the idea; Pencil for recording. Adult models one concrete example of the idea. Child completes three concrete examples and says a reason each time. Done: three correct examples with a spoken reason each. Stop after the fresh check; keep optional challenge for another day.

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Comparing Large Numbers practice

Practice key ideas from Comparing Large 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

Using Pictures to Explain Number Comparisons

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Before you open · source notes

Picture explanations support comparing large numbers. Not every fraction comparison.

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 compare two large numbers and explain with place-value language.

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. “Using Pictures to Explain Number Comparisons.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.

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Check understanding

  • Compare two four-digit numbers using >, <, and = by examining digits from the highest place value
  • Order a set of numbers up to 10,000 from smallest to largest
  • Justify the ordering using place-value reasoning
“Can your child put a set of four-digit numbers like 4,321, 1,876, and 9,045 in order from smallest to largest — comparing them digit by digit?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Number Representation & Place Value
Age range
Ages 8–13

Standards

acara-v9:AC9M3N01the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G4-B1.2the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G4-C2.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-C2.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-C2.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-C2.4uk-nc-2013:Ma/KS2/Y4/NPV/5