Adding and subtracting (age 8+)
Add and subtract numbers with up to four digits using formal written methods of columnar addition and subtraction
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1858 concepts · 9 subjects
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Set out four-digit addition and subtraction in place-value columns. Explain each exchange and check with the inverse operation.
Set out four-digit addition and subtraction in place-value columns. Explain each exchange and check with the inverse operation.
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Illustrative Mathematics · Practice link — not the full lesson
Valid Equalities?
Before you open · source notes
True/false equalities support adding and subtracting with the equal sign. Not every algebra equation.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to mark one equality true or false and explain both sides.
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. “Valid Equalities?.” 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
- Set out and solve a columnar addition with up to four-digit numbers
- Set out and solve a columnar subtraction with exchange across multiple columns
- Check the answer using estimation or inverse operations
“Can your child line up a sum like '3,842 + 1,765' or '4,301 − 2,658' in columns and work through it correctly — carrying and borrowing across multiple columns?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Addition & Subtraction
- Age range
- Ages 8–10
Standards