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Expanded and standard form

Split whole numbers into place values, then put them back together.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
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Choose the range of complete numbers. The worksheet alternates between expanding and rebuilding them.

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mathsprig-1
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5993711c
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1 page
Expanded and standard formExpanded and standard form. Practice. Write 3414 in expanded form. Write 5000 + 100 + 3 as one number. Write 7237 in expanded form. Write 4000 + 900 + 40 + 3 as one number. Write 7357 in expanded form. Write 500 + 80 + 3 as one number. Write 1555 in expanded form. Write 6000 + 40 + 3 as one number. Write 8929 in expanded form. Write 2000 + 200 as one number. Write 3922 in expanded form. Write 2000 + 100 + 20 + 5 as one number.Name __________________________Date _______________Expanded and standard formWrite the requested expanded form or ordinary number.Worked exampleWrite 3,406 in expanded form. → 3000 + 400 + 6The nonzero digits contribute 3 × 1000, 4 × 100 and 6 × 1.1.Write 3414 in expanded form.2.Write 5000 + 100 + 3 as onenumber.3.Write 7237 in expanded form.4.Write 4000 + 900 + 40 + 3 as onenumber.5.Write 7357 in expanded form.6.Write 500 + 80 + 3 as one number.7.Write 1555 in expanded form.8.Write 6000 + 40 + 3 as onenumber.9.Write 8929 in expanded form.10.Write 2000 + 200 as one number.11.Write 3922 in expanded form.12.Write 2000 + 100 + 20 + 5 as onenumber.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · 5993711c
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Practice + answer key · 2 pages

Number sense

What you’ll practice

Write a whole number as a sum of place values and convert that sum back to standard form.

Writing 3,406 as 3,000 + 400 + 6 shows what each digit contributes. Practice both directions: break a number into parts and turn a place-value sum back into a number.

How this skill works

Expanded form shows each nonzero digit multiplied by its place value. Zero-value terms may be omitted because adding zero changes nothing.

When rebuilding a number, align each term by its place. Do not concatenate the written terms: 300 + 40 + 2 means 342, not 300402.

Worked example

Write 3,406 in expanded form.
  1. The nonzero digits contribute 3 × 1000, 4 × 100 and 6 × 1.
  2. The tens digit is zero, so its term can be omitted.
  3. 3000 + 400 + 6 = 3406.

Answer: 3000 + 400 + 6

Teaching notes

  • Use one term for each nonzero position.
  • Check by adding the expanded terms back together.
Practice questions
  1. Write 3414 in expanded form.
  2. Write 5000 + 100 + 3 as one number.
  3. Write 7237 in expanded form.
  4. Write 4000 + 900 + 40 + 3 as one number.
  5. Write 7357 in expanded form.
  6. Write 500 + 80 + 3 as one number.
  7. Write 1555 in expanded form.
  8. Write 6000 + 40 + 3 as one number.
  9. Write 8929 in expanded form.
  10. Write 2000 + 200 as one number.
  11. Write 3922 in expanded form.
  12. Write 2000 + 100 + 20 + 5 as one number.
Answers and steps
  1. 3000 + 400 + 10 + 4
    1. Separate the nonzero place values: 3000 + 400 + 10 + 4.
    2. Add the place values: 3000 + 400 + 10 + 4 = 3414.
  2. 5103
    1. Separate the nonzero place values: 5000 + 100 + 3.
    2. Add the place values: 5000 + 100 + 3 = 5103.
  3. 7000 + 200 + 30 + 7
    1. Separate the nonzero place values: 7000 + 200 + 30 + 7.
    2. Add the place values: 7000 + 200 + 30 + 7 = 7237.
  4. 4943
    1. Separate the nonzero place values: 4000 + 900 + 40 + 3.
    2. Add the place values: 4000 + 900 + 40 + 3 = 4943.
  5. 7000 + 300 + 50 + 7
    1. Separate the nonzero place values: 7000 + 300 + 50 + 7.
    2. Add the place values: 7000 + 300 + 50 + 7 = 7357.
  6. 583
    1. Separate the nonzero place values: 500 + 80 + 3.
    2. Add the place values: 500 + 80 + 3 = 583.
  7. 1000 + 500 + 50 + 5
    1. Separate the nonzero place values: 1000 + 500 + 50 + 5.
    2. Add the place values: 1000 + 500 + 50 + 5 = 1555.
  8. 6043
    1. Separate the nonzero place values: 6000 + 40 + 3.
    2. Add the place values: 6000 + 40 + 3 = 6043.
  9. 8000 + 900 + 20 + 9
    1. Separate the nonzero place values: 8000 + 900 + 20 + 9.
    2. Add the place values: 8000 + 900 + 20 + 9 = 8929.
  10. 2200
    1. Separate the nonzero place values: 2000 + 200.
    2. Add the place values: 2000 + 200 = 2200.
  11. 3000 + 900 + 20 + 2
    1. Separate the nonzero place values: 3000 + 900 + 20 + 2.
    2. Add the place values: 3000 + 900 + 20 + 2 = 3922.
  12. 2125
    1. Separate the nonzero place values: 2000 + 100 + 20 + 5.
    2. Add the place values: 2000 + 100 + 20 + 5 = 2125.