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MathematicsAddition & SubtractionAges 9–12

Fluent addition and subtraction (age 9+)

Fluently add and subtract whole numbers with more than four digits using the standard columnar algorithm

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Extend column addition and subtraction to five and six digits, including three addends and exchanges through zeros.

Extend column addition and subtraction to five and six digits, including three addends and exchanges through zeros.

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Illustrative Mathematics · Practice link — not the full lesson

Making a ten

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Before you open · source notes

Making a ten supports fluent addition and subtraction. Not every multi-digit long subtraction.

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 remake an addition as a ten-plus fact and finish it.

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. “Making a ten.” 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

  • Calculate 34,567 + 28,945 using columnar addition
  • Calculate 500,000 − 234,178 using columnar subtraction with multiple exchanges
  • Add three five-digit numbers in a single column layout
“Can your child accurately add or subtract large numbers — like '23,846 + 14,579' — using the column method, carrying and borrowing correctly however many columns it takes?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Addition & Subtraction
Age range
Ages 9–12

Standards

ccss-math:4.NBT.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-B2.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B2.4uk-nc-2013:Ma5/2.2a