FreeMathWorksheet
Worksheet · TN-MATH-SAT-50504 · v2.3

Place Value in Decimals — Full Practice

A single-focus worksheet on place value in decimals for SAT Math. Nothing else from decimals is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

MixedInternational Baccalaureate50 min64 marksNo answers on sheet

Every stage of the ladder at full length.

Grade

SAT

Subject

Math

Topic

Decimals

Subtopic

Place Value in Decimals

Curriculum

International Baccalaureate

Difficulty

Mixed

Time

50 min

Questions

37

Total marks

64

Worksheet ID

TN-MATH-SAT-50504

Version

v2.3

Format

A4 · US Letter

Preview & download

Print-ready · high-resolution PDF · minimal ink
FreeMathWorksheet

Full Practice

TN-MATH-SAT-50504 · v2.3

Place Value in Decimals

SAT · Math · Decimals · International Baccalaureate

Grade

SAT

Subject

Math

Topic

Decimals

Subtopic

Place Value in Decimals

Curriculum

International Baccalaureate

Difficulty

Mixed

Time

50 minutes

Total marks

64

Student name

Teacher name

Date

Learning objectives

  • Recognise place value in decimals accurately in math contexts.
  • Explain the underlying rule of place value in decimals in the student's own words.
  • Apply place value in decimals to multi-step and unfamiliar problems.
  • Justify a chosen method and identify errors in another student's work.

Skills assessed

  • Fluency and recall
  • Method and setting out
  • Reasoning and justification
  • Problem solving in context
  • Self-assessment

Instructions

  1. Write your name, your teacher's name and the date in the header.
  2. Answer every question in the space provided. Continue on the back if needed.
  3. Show all working — method marks are awarded even when the final answer is wrong.
  4. Aim to finish in about 50 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 5 marks

Answer quickly. These check you are ready for the topic.

  1. 1.Circle one fact you already know about place value in decimals.

    [1]

  2. 2.State one fact you already know about place value in decimals.

    [1]

  3. 3.Write down one fact you already know about place value in decimals.

    [1]

  4. 4.Name one fact you already know about place value in decimals.

    [1]

  5. 5.State one fact you already know about place value in decimals.

    [1]

FreeMathWorksheet · TN-MATH-SAT-50504 · v2.3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 1 of 5

FreeMathWorksheet · SAT Math

Place Value in Decimals

Recall

Bloom: Remember · 5 marks

Complete from memory. No calculator, no notes.

  1. 1.Define the key term used in place value in decimals described here: item 1.

    [1]

  2. 2.Complete the key term used in place value in decimals described here: item 2.

    [1]

  3. 3.List the key term used in place value in decimals described here: item 3.

    [1]

  4. 4.Label the key term used in place value in decimals described here: item 4.

    [1]

  5. 5.Complete the key term used in place value in decimals described here: item 5.

    [1]

Basic Practice

Bloom: Understand · 6 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for place value in decimals.

    [1]

  2. 2.Match part 2 using the rule for place value in decimals.

    [1]

  3. 3.Identify part 3 using the rule for place value in decimals.

    [1]

  4. 4.Identify part 4 using the rule for place value in decimals.

    [1]

  5. 5.Match part 5 using the rule for place value in decimals.

    [1]

  6. 6.Complete part 6 using the rule for place value in decimals.

    [1]

FreeMathWorksheet · TN-MATH-SAT-50504 · v2.3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 2 of 5

FreeMathWorksheet · SAT Math

Place Value in Decimals

Guided Practice

Bloom: Understand · 10 marks

The first step is given. Finish the reasoning.

  1. 1.Continue the working for part 1. Step 1 has been started for you.

    [2]

  2. 2.Using the first step given, finish part 2. Step 1 has been started for you.

    [2]

  3. 3.Using the first step given, finish part 3. Step 1 has been started for you.

    [2]

  4. 4.Using the first step given, finish part 4. Step 1 has been started for you.

    [2]

  5. 5.Continue the working for part 5. Step 1 has been started for you.

    [2]

Independent Practice

Bloom: Apply · 12 marks

No scaffolding. Set out your full method.

  1. 1.Calculate part 1 on place value in decimals without help.

    [2]

  2. 2.Determine part 2 on place value in decimals without help.

    [2]

  3. 3.Solve part 3 on place value in decimals without help.

    [2]

  4. 4.Determine part 4 on place value in decimals without help.

    [2]

  5. 5.Determine part 5 on place value in decimals without help.

    [2]

  6. 6.Determine part 6 on place value in decimals without help.

    [2]

FreeMathWorksheet · TN-MATH-SAT-50504 · v2.3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 3 of 5

FreeMathWorksheet · SAT Math

Place Value in Decimals

Challenge Questions

Bloom: Analyse · 12 marks

Harder items. Attempt every one, even partially.

  1. 1.Find and justify the statement in part 1 about place value in decimals.

    [3]

  2. 2.Deduce the statement in part 2 about place value in decimals.

    [3]

  3. 3.Show that the statement in part 3 about place value in decimals.

    [3]

  4. 4.Find and justify the statement in part 4 about place value in decimals.

    [3]

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

  1. 1.In context, work out a real math situation that depends on place value in decimals.

    [3]

  2. 2.In context, work out a real math situation that depends on place value in decimals.

    [3]

FreeMathWorksheet · TN-MATH-SAT-50504 · v2.3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 4 of 5

FreeMathWorksheet · SAT Math

Place Value in Decimals

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Explain why a student's method for place value in decimals is or is not efficient.

    [4]

  2. 2.Evaluate whether a student's method for place value in decimals is or is not efficient.

    [4]

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

  1. 1.Record how confident you feel with place value in decimals and what you will practise next.

    [—]

  2. 2.Reflect on how confident you feel with place value in decimals and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-SAT-50504 · v2.3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 5 of 5

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to SAT, and every rung stays on place value in decimals only.

  1. 01Warm-up

    Answer quickly. These check you are ready for the topic.

    Remember5 questions5 marks

  2. 02Recall

    Complete from memory. No calculator, no notes.

    Remember5 questions5 marks

  3. 03Basic Practice

    Work through each item. Show the step you used.

    Understand6 questions6 marks

  4. 04Guided Practice

    The first step is given. Finish the reasoning.

    Understand5 questions10 marks

  5. 05Independent Practice

    No scaffolding. Set out your full method.

    Apply6 questions12 marks

  6. 06Challenge Questions

    Harder items. Attempt every one, even partially.

    Analyse4 questions12 marks

  7. 07Real-life Application

    Use the skill in context. State units in your answer.

    Apply2 questions6 marks

  8. 08Critical Thinking

    Explain your reasoning in full sentences.

    Evaluate2 questions8 marks

  9. 09Reflection

    Not marked. Answer honestly — this guides your next worksheet.

    Create2 questions0 marks

Answer key & solutions

Every worksheet auto-generates a complete key with step-by-step solutions, the marking scheme and teacher notes. It prints as separate pages so the student copy stays clean.

Teacher notes

  • Set the warm-up as a five-minute starter; it diagnoses readiness for place value in decimals before you teach.
  • Guided practice is the pivot point — circulate here rather than during independent practice.
  • Mark the reasoning questions with the marking scheme bands, not raw totals, so progress is comparable across variants.
  • Students who band Emerging should repeat the Easy variant of this same subtopic before moving on within Decimals.

Common student mistakes

  • Confusing place value in decimals with a neighbouring idea in decimals.

Teaching tips

  • Model one worked example of place value in decimals under a visualiser before handing the sheet out.
  • Ask students to predict which question they will find hardest, then check the prediction afterwards.
  • Pair Developing students with Secure students for the guided practice block only.
  • Use the answer key as a self-marking station rather than collecting the sheets in.

Extension activities

  • Challenge worksheet on place value in decimals with justification-only questions.
  • Design your own place value in decimals question and write the mark scheme for it.
  • Link place value in decimals to the next subtopic in Decimals and explain the connection.
  • Ten-minute timed practice to convert accuracy into fluency.

Switch version

Same subtopic · same objectives · different job

Frequently asked

What exactly is in the download?
A 37-question, 64-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-SAT-50504, version v2.3 and a QR code back to this page.
Does it print correctly on US Letter?
Yes. Switch paper size in the download panel — margins and typography are identical, so nothing reflows or clips.
Is the answer key included?
The student copy prints clean. Toggle answers on to append the answer key, marking scheme and teacher pack.

Related resources

Tutoring

Work through place value in decimals with a tutor after marking this sheet.

Book a tutor