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Hundreds, tens, ones

Expanded form · Elementary · 20 problems, easy to harder

▶ Watch the first one solved

How we do it

  1. Show it with blocks
  2. Put the digits in the chart
  3. Find the value of each digit
  4. Write it as a sum
  5. Check

The steps for Write 352 in expanded form. Every solution names its steps, so you always know what comes next.

Worked examples

Write 352 in expanded form Easy

The question

Question: write 352 in expanded form.

Write 352 in expanded form

1 Show it with blocks

352 is 3 hundreds, 5 tens, 2 ones.

2 Put the digits in the chart

Each digit has a place.

3 Find the value of each digit

The 3 is 3 hundreds.

That is 300.

The 5 is 5 tens.

That is 50.

The 2 is 2 ones.

That is 2.

4 Write it as a sum

Expanded form means we write the value of each digit, with + between them.

352 = 300 + 50 + 2

5 Check

We add them back: 300 and 50 and 2 make 352.

Yes!

It works.

300 + 50 + 2 = 352

Let's look back.

First: show it with blocks.

Then: put the digits in the chart.

Then: find the value of each digit.

Then: write it as a sum.

Last: check.

Answer
352 = 300 + 50 + 2

▶ Watch it solved

Write 506 in expanded form Medium

The question

Question: write 506 in expanded form.

Write 506 in expanded form

1 Show it with blocks

506 is 5 hundreds, 6 ones.

2 Put the digits in the chart

Each digit has a place.

3 Find the value of each digit

The 5 is 5 hundreds.

That is 500.

The 6 is 6 ones.

That is 6.

The 0 means no tens.

We leave it out of the sum.

4 Write it as a sum

Expanded form means we write the value of each digit, with + between them.

506 = 500 + 6

5 Check

We add them back: 500 and 6 make 506.

Yes!

It works.

500 + 6 = 506

Let's look back.

First: show it with blocks.

Then: put the digits in the chart.

Then: find the value of each digit.

Then: write it as a sum.

Last: check.

Answer
506 = 500 + 6

▶ Watch it solved

Write 4,305 in expanded form Harder

The question

Question: write 4,305 in expanded form.

Write 4,305 in expanded form

1 Put the digits in the chart

Each digit has a place.

2 Find the value of each digit

The 4 is 4 thousands.

That is 4,000.

The 3 is 3 hundreds.

That is 300.

The 5 is 5 ones.

That is 5.

The 0 means no tens.

We leave it out of the sum.

3 Write it as a sum

Expanded form means we write the value of each digit, with + between them.

4,305 = 4,000 + 300 + 5

4 Check

We add them back: 4,000 and 300 and 5 make 4,305.

Yes!

It works.

4,000 + 300 + 5 = 4,305

Let's look back.

First: put the digits in the chart.

Then: find the value of each digit.

Then: write it as a sum.

Last: check.

Answer
4,305 = 4,000 + 300 + 5

▶ Watch it solved

Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. write 352 in expanded form
    Answer
    352 = 300 + 50 + 2
  2. write 147 in expanded form
    Answer
    147 = 100 + 40 + 7
  3. write 263 in expanded form
    Answer
    263 = 200 + 60 + 3
  4. 300 + 40 + 7
    Answer
    = 347
  5. 500 + 20 + 9
    Answer
    = 529
  6. 800 + 60 + 1
    Answer
    = 861

Medium

  1. write 506 in expanded form
    Answer
    506 = 500 + 6
  2. write 740 in expanded form
    Answer
    740 = 700 + 40
  3. write 918 in expanded form
    Answer
    918 = 900 + 10 + 8
  4. write 381 in expanded form
    Answer
    381 = 300 + 80 + 1
  5. 400 + 6
    Answer
    = 406
  6. 900 + 30
    Answer
    = 930
  7. 600 + 50 + 8
    Answer
    = 658
  8. 200 + 7
    Answer
    = 207

Harder

  1. write 4,305 in expanded form
    Answer
    4,305 = 4,000 + 300 + 5
  2. write 2,468 in expanded form
    Answer
    2,468 = 2,000 + 400 + 60 + 8
  3. write 7,090 in expanded form
    Answer
    7,090 = 7,000 + 90
  4. 3000 + 400 + 20 + 1
    Answer
    = 3,421
  5. 5000 + 60 + 3
    Answer
    = 5,063
  6. 1000 + 200 + 30 + 4
    Answer
    = 1,234