The three digits of a three-digit number
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
Lesson
Set out your lesson
Represent and partition three-digit numbers, including an empty tens place.
Before teaching
Readiness
Show one hundred as ten tens. Show 42 as tens and ones. Response: __________________
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Represent and partition three-digit numbers, including an empty tens place.
Represent and partition three-digit numbers, including an empty tens place.
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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
Looking at Numbers Every Which Way
Before you open · source notes
A three-digit number is shown with hundreds, tens, and ones in several matching representations. This supports reading the three digits, not every comparison skill.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk for the value of each digit in one example. Matching cards alone do not prove independent place-value writing.
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 2026-11-11 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. “Looking at Numbers Every Which Way.” 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
- State the value of each digit in a three-digit number (e.g. in 362, the 3 represents 3 hundreds)
- Partition a three-digit number into hundreds, tens, and ones (e.g. 485 = 400 + 80 + 5)
- Explain why 706 has 7 hundreds, 0 tens, and 6 ones
“If your child sees the number 348, can they tell you there are 3 hundreds, 4 tens, and 8 ones — rather than just reading the digits as 'three four eight'?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 7–9
Standards