Decimal place value
Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy
Share and support
Teaching Table
Set out your lesson
Round positive decimals and whole numbers to a stated place. Use rounding to estimate a product.
Ask the learner to name tenths, hundredths and thousandths in 4.582. Expect 5 tenths, 8 hundredths, 2 thousandths. Ask for 63 rounded to the nearest ten: 60. If unclear, revisit the named reading and rounding prerequisites. Explain that a fourth decimal digit names ten-thousandths.
Check readiness directly. Prerequisite availability is not attainment.
Use these linked lessons over several short sessions. Start with the readiness check; if it is not secure, revisit the named prerequisites rather than treating source availability as learner readiness. Use Show, Guided, then Try. Read the active sheet on screen and answer on plain paper or by typing. No printer, cutting, purchase or internet is needed. The adult may read the exact prompt. Record any hints, scribing or calculation help. Oral explanations do not show independent reading or handwriting. Use extra space and time as needed; pause or split the lesson. Keep this adult guide and all keys private. Share only the active learner sheet. Before Try, put Show, Guided work and notes aside. Keep the Try givens available, including a unit table if supplied. Give no answer or target step during the first attempt. If help is needed, give it and mark the attempt supported. Review keys after the attempt. Record the actual response and help; do not invent success or infer mastery from one attempt. These are fictional paper or oral mathematics tasks. No personal information, public sharing, purchase, real transaction, physical experiment or real measurement is required.
Record the actual response and assistance. These tasks do not establish mastery.
Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.
Teaching limits and safe use
These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.
Selected positive numbers and stated places only, not rounding at every possible place. Try includes a fresh exact-halfway example using the taught rounding convention and a fresh carry across the ones boundary. Those rule types were taught; the operands are new. Estimates do not provide error bounds.
Record the actual response and assistance. These tasks do not establish mastery.
Compare teaching approaches
Teaching approaches
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1 approach
Round positive decimals and whole numbers to a stated place. Use rounding to estimate a product.
Round positive decimals and whole numbers to a stated place. Use rounding to estimate a product.
Family records and proof options
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Learning resources
External links for extra practice. They do not replace Gakuva’s teaching approach.
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The teaching approach appears above.
Check understanding
- Round 3.4567 to 2 decimal places (3.46)
- Round 7,654,321 to the nearest 100,000 (7,700,000)
- Use rounding to estimate 4.83 × 2.17 ≈ 5 × 2 = 10
“Can your child round a decimal like 3.748 to one decimal place (3.7) or two decimal places (3.75) — and explain which digit they look at to decide?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 10–11