MathematicsFractionsAges 9–12

Converting tenths to hundredths

Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 + 4/100 = 34/100)

Lesson

Set out your lesson

Rename tenths as hundredths and add the resulting equal-sized fractional units.

Before teaching

Use this short check, then start teaching.

Activity

Ask for the meaning of one square on a 100-square grid and an equivalent form of 2/5. Revisit mt_doX1BhmFgk or mt_ebPelt-qAl if these are uncertain. This activity check is inferred, not a change to canonical edges. Source availability is not learner mastery.

Policy

Check learner readiness directly; prerequisite availability is not attainment.

Printer, credit, and teaching notes

Check learner readiness directly; prerequisite availability is not attainment.

Instructions

Screen or supplied sheets, pencil and scrap paper are sufficient; no printer, cutting or purchase is required. Read Setup and Show first; use Together with help, then put worked pages, matching cards and adult keys aside for Try. All story quantities are fictional: no cooking, eating, cutting, buying or collection of personal data. Draw any needed counters; no small objects are required. Read text aloud or let the learner point, draw or explain orally. Adult scribing is supported mathematical work, not independent handwriting. Record any hints actually used; never invent a response.

Teaching Procedure

Read the worked model aloud. Ask the learner to identify the whole and equal-part unit. In Together, let them attempt before offering the listed hint. Ask why a method preserves value. If the readiness skill is uncertain, pause and return to the named prerequisite; do not drill unsupported errors. Use fresh Try contexts without the key; after the attempt compare the method as well as the answer.

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

Next: Show

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Rename tenths as hundredths and add the resulting equal-sized fractional units.

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Learning resources

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

Illustrative Mathematics · Practice link — not the full lesson

Tenths and Hundredths

Open practice(new tab)

Before you open · source notes

Place-value tenths and hundredths support converting tenths to hundredths. Not every thousandths rename.

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 rename one tenth as hundredths and say why the value matches.

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. “Tenths and Hundredths.” 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

Rewrite 7/10 as 70/100
Calculate 3/10 + 4/100 = 34/100
Explain why 5/10 = 50/100 using a hundredths grid

“If your child needs to add 3/10 and 17/100, can they rewrite 3/10 as hundredths first — and then add the two fractions together?”

Curriculum record

Type: Procedural
Subject: Mathematics
Domain: Fractions
Age range: Ages 9–12

Standards

ccss-math:4.NF.5the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-B1.7the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B1.6