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MathematicsFractionsAges 9–13

Comparing Decimals

Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <

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1858 concepts · 9 subjects

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Compare decimals by matching place values, not by counting digits.

Compare decimals by matching place values, not by counting digits.

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Illustrative Mathematics · Practice link — not the full lesson

Comparing Decimals on the Number Line

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Before you open · source notes

Decimals are placed and compared on a number line. Supports comparing decimals, not every fraction-to-decimal conversion.

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

Before you open

Ask which of two decimals is greater and show both on the number line.

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. “Comparing Decimals on the Number Line.” 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

  • Compare 0.45 and 0.405 and explain which is greater
  • Order 3.142, 3.14, 3.2 from smallest to largest
  • Justify that 0.7 = 0.70 = 0.700 using place-value reasoning
“If your child compares 0.45 and 0.54, can they use place value to explain which is bigger — without reaching for a calculator?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Fractions
Age range
Ages 9–13

Standards

acara-v9:AC9M5N01ccss-math:4.NF.7the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-B1.5the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B1.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B1.3uk-nc-2013:Ma5/2.4i