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MathematicsNumber Representation & Place ValueAges 10–11

Reading Decimal Places

Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)

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Teaching Table

Set out your lesson

State digit values to three decimal places and explain the factor of ten between adjacent places.

Activity

Ask the learner to read 1.205 and name its zero place: one and two hundred five thousandths; zero hundredths. If unclear, revisit the preceding reading and writing lesson. Ask what dividing one tenth into ten equal parts gives: hundredths.

Policy

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.

  • Positive three-decimal-place examples only. The adjacent-place statement applies to unit sizes; different digit counts must also be considered. No general fluency is measured.

Record the actual response and assistance. These tasks do not establish mastery.

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Teaching approaches

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Selected Default Gakuva

State digit values to three decimal places and explain the factor of ten between adjacent places.

State digit values to three decimal places and explain the factor of ten between adjacent places.

Family records and proof options

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Learning resources

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Check understanding

  • State the value of each digit in 2.635 (2 ones, 6 tenths, 3 hundredths, 5 thousandths)
  • Explain the relationship between adjacent decimal places (each place is ten times smaller)
  • Write a number given digit values (e.g. 4 ones, 0 tenths, 7 hundredths, 3 thousandths = 4.073)
“In the number 4.378, can your child tell you that the 7 represents 7 hundredths — not 7 tenths or 7 thousandths?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Number Representation & Place Value
Age range
Ages 10–11

Standards

uk-nc-2013:Ma6/2.3g