Comparing Decimals
Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <
Lesson
Set out your lesson
Compare decimals by matching place values, not by counting digits.
Before teaching
Use this short check, then start teaching.
Learner readiness not observed. Ask which is larger: 0.3 or 0.5, and what one hundredth means. If either is unclear, revisit comparing two-place decimals before the three-place tasks.
Check learner readiness separately; the existence of a prerequisite lesson is not evidence of attainment.
Share and support
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.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Comparing Decimals on the Number Line
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 openAsk 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