Expanded Form Math Worksheets

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Sheet type

Problems

Answer key

20 problems. 3-digit numbers in expanded form. Sheet 98PUOF, with its answer key.

3-digit numbers in expanded form

Name Date Score / 20

Write each number in expanded form. A place that holds zero has no part.

1.886 = ________ + ________ + ________
2.367 = ________ + ________ + ________
3.612 = ________ + ________ + ________
4.829 = ________ + ________ + ________
5.884 = ________ + ________ + ________
6.773 = ________ + ________ + ________
7.816 = ________ + ________ + ________
8.567 = ________ + ________ + ________
9.729 = ________ + ________ + ________
10.797 = ________ + ________ + ________
11.585 = ________ + ________ + ________
12.487 = ________ + ________ + ________
13.538 = ________ + ________ + ________
14.817 = ________ + ________ + ________
15.857 = ________ + ________ + ________
16.393 = ________ + ________ + ________
17.175 = ________ + ________ + ________
18.673 = ________ + ________ + ________
19.899 = ________ + ________ + ________
20.186 = ________ + ________ + ________

Sheet 98PUOF · Made at homeroomtools.com

Answer key. 3-digit numbers in expanded form

1.886 = 800 + 80 + 6
2.367 = 300 + 60 + 7
3.612 = 600 + 10 + 2
4.829 = 800 + 20 + 9
5.884 = 800 + 80 + 4
6.773 = 700 + 70 + 3
7.816 = 800 + 10 + 6
8.567 = 500 + 60 + 7
9.729 = 700 + 20 + 9
10.797 = 700 + 90 + 7
11.585 = 500 + 80 + 5
12.487 = 400 + 80 + 7
13.538 = 500 + 30 + 8
14.817 = 800 + 10 + 7
15.857 = 800 + 50 + 7
16.393 = 300 + 90 + 3
17.175 = 100 + 70 + 5
18.673 = 600 + 70 + 3
19.899 = 800 + 90 + 9
20.186 = 100 + 80 + 6

Sheet 98PUOF · Made at homeroomtools.com

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How it works

Expanded form math worksheets for every number size: 4,308 = 4,000 + 300 + 8. Pick a sheet type, from 2-digit to 6-digit numbers, in both directions, then print on Letter or A4 with the answer key.

Read the full guide

What expanded form means

The Common Core glossary says a number is in expanded form when it is written as a sum of single-digit multiples of powers of ten, and gives 643 = 600 + 40 + 3. A place that holds zero adds no part, so 4,038 = 4,000 + 30 + 8.

Which sheet to print first

Start with 3-digit numbers in expanded form, which has no zeros and a blank for every part. Next print 3-digit numbers with a zero: 406 and 460, then 3-digit expanded form with the parts out of order. Repeat the same three steps with 4-digit numbers.

A pupil who writes 4 + 3 + 8 for 4,308 is naming digits. Print 4-digit expanded form with a missing part.
Sheets with zeros print one long blank per row, so the blanks never show how many parts to write.
Reading 40,072 aloud as forty thousand seventy-two names its three parts in order.

Questions and answers

What grade is expanded form taught in?

The Common Core names it in grade 2, for numbers to 1000, and again in grade 4 for multi-digit numbers, but not in grade 3. Texas starts in grade 1, up to 120, and says expanded notation from grade 3 on.

How do you write a number with a zero in expanded form?

Skip the place that holds zero. 4,308 = 4,000 + 300 + 8 has no tens part, and 50,608 = 50,000 + 600 + 8 skips two places. Going back to the number, write a 0 for every place that has no part.

What is the difference between standard form, expanded form and word form?

Standard form is the numeral, 7,120. Expanded form is the sum of its parts, 7,000 + 100 + 20. Word form is the name, seven thousand one hundred twenty. The sheets here go between the first two.

What is expanded form with multiplication?

Each part is written as a digit times the value of its place: 4,308 = 4 × 1,000 + 3 × 100 + 8 × 1. The Common Core prints expanded form this way in grade 5, for decimals. The sheets here print the plain sum, 4,000 + 300 + 8.

All 24 sheet types

2-digit numbers: tens and ones 2

2-digit expanded form back to the number 60 + 8 = 68. Pupils add a tens part and a ones part and write the number. Every row gives the tens first, which makes this the gentlest sheet on the page. The 3-digit group has a sheet with the parts out of order.
2-digit numbers in expanded form 47 = 40 + 7. Every row has two blanks, one for the tens part and one for the ones part. Numbers that end in zero are left out, because 40 has a single part. Texas asks for expanded and standard forms up to 120 in grade 1, under 1.2(C).

3-digit numbers: hundreds, tens and ones 5

3-digit expanded form back to the number 700 + 30 + 4 = 734. Every row gives the parts in order, largest first, and the pupil writes the number. Nearly half the rows have only two parts, such as 900 + 6 = 906, where the tens digit has to be written as 0.

Show all 24 sheet types (21 more)

3-digit numbers: hundreds, tens and ones, continued

3-digit expanded form with a missing part In 600 + ? + 9 for the number 649 the missing part is 40, because 600 + 40 + 9 = 649. The blank can be the hundreds, the tens or the ones. Nearly half the rows are numbers with a zero, such as 400 + ? for 406, and have only two parts. A pupil who writes 4 for 40 has named the digit and not its value.
3-digit expanded form with the parts out of order 30 + 7 + 200 = 237. The first half of the sheet keeps the usual order as a warm-up. The second half mixes the parts, so the pupil has to look at the size of each part and not at where it sits in the row.
3-digit numbers in expanded form 582 = 500 + 80 + 2. Every row has three blanks, and no number has a zero, so every place has a part. Common Core 2.NBT.3 asks second graders to read and write numbers to 1000 in numerals, number names and expanded form.
3-digit numbers with a zero: 406 and 460 406 = 400 + 6 and 460 = 400 + 60. Every number on this sheet has a zero, and a place that holds zero has no part. Each row has one long blank, so the blanks do not give away how many parts to write.

4-digit numbers: thousands 5

4-digit expanded form back to the number 3,000 + 500 + 40 + 1 = 3,541. The parts are in order, largest first. About half the rows skip a place, such as 8,000 + 20 + 6 = 8,026, and the pupil has to put a 0 in the hundreds place.
4-digit expanded form with a missing part In 7,000 + ? + 60 + 3 for the number 7,463 the missing part is 400, because 7,000 + 400 + 60 + 3 = 7,463. Any of the four parts can be the blank, and the answer is a value such as 400, never the digit 4.
4-digit expanded form with the parts out of order 9 + 2,000 + 700 + 50 = 2,759. The second half of the sheet mixes the parts. A pupil who writes 9,275 has copied the digits from left to right, and that is the habit this sheet is built to catch.
4-digit numbers in expanded form 6,275 = 6,000 + 200 + 70 + 5. Every row has four blanks and no number has a zero. In the Common Core, expanded form comes back in grade 4 under 4.NBT.2. Texas third graders take numbers up to 100,000 apart under 3.2(A).
4-digit numbers with zeros: 4,308 and 4,038 4,308 = 4,000 + 300 + 8 and 4,038 = 4,000 + 30 + 8. Every number has one or two zeros, and a zero adds no part. One long blank on each row hides how many parts there are. Pairs like these show that the place of a digit matters, not only the digit.

5-digit and 6-digit numbers 7

5-digit expanded form back to the number 70,000 + 2,000 + 900 + 10 + 4 = 72,914. More than half the rows skip a place or two, such as 50,000 + 600 + 8 = 50,608, where two zeros have to be written. The parts stay in order, largest first.
5-digit expanded form with a missing part In 30,000 + ? + 200 + 50 + 9 for the number 36,259 the missing part is 6,000, because 30,000 + 6,000 + 200 + 50 + 9 = 36,259. A pupil who writes 600 or 60,000 knows the digit and has misjudged its place.
5-digit numbers in expanded form 48,375 = 40,000 + 8,000 + 300 + 70 + 5. Every row has five blanks and no number has a zero. The comma helps: the 48 in front of it splits as 40,000 + 8,000 = 48,000, and the last three digits split as any 3-digit number does.
5-digit numbers with zeros: 40,072 and 47,002 40,072 = 40,000 + 70 + 2 and 47,002 = 40,000 + 7,000 + 2. Every number has at least one zero, and no part is written for a place that holds zero. Reading the number aloud helps: forty thousand seventy-two names the three parts in order.
6-digit expanded form back to the number, with zeros to write 700,000 + 20,000 + 400 + 9 = 720,409. Every number on the sheet has at least one zero, so the pupil must write a 0 for each place that has no part. Here those are the thousands place and the tens place.
6-digit numbers in expanded form 815,362 = 800,000 + 10,000 + 5,000 + 300 + 60 + 2. Every row has six blanks and no number has a zero. Common Core grade 4 works with whole numbers up to 1,000,000, so 6 digits is as far as 4.NBT.2 goes.
6-digit numbers with zeros: 306,540 and 360,054 306,540 = 300,000 + 6,000 + 500 + 40 and 360,054 = 300,000 + 60,000 + 50 + 4. The same digits make different parts when the zeros move. Each row has one long blank, so the row does not show how many parts to write.

Compare a number with an expanded form 3

Compare a 3-digit number with an expanded form 315 < 300 + 50 + 1, because 300 + 50 + 1 = 351. The pairs are look-alike numbers, so the pupil has to build the expanded side before choosing <, > or =. The key prints the built number beside each answer.
Compare a 4-digit number with an expanded form 6,000 + 40 + 2 < 6,402, because 6,000 + 40 + 2 = 6,042. One side of every pair is a number and the other is an expanded form, and either one can come first. Texas compares numbers up to 100,000 in grade 3, under 3.2(D).
Equal or not? A number and an expanded form 5,000 + 300 + 7 = 5,307, so that pair takes the sign =. Half the pairs on the sheet are equal. The others are near misses, such as 5,000 + 30 + 7 beside 5,307, and take < or >.

Review: both directions and missing parts 2

3-digit expanded form, both directions on one sheet Half the rows go one way, 582 = 500 + 80 + 2, and half come back, 900 + 10 + 4 = 914. The two kinds are mixed down the page, so the pupil has to read each row before writing.
4-digit expanded form: fill in what is missing Three kinds of row share the sheet. One asks for the whole expanded form of a number such as 3,096. One hides a single part, as in 3,000 + ? + 6. One gives every part and leaves a blank in front for the number: 3,096 = 3,000 + 90 + 6.

How this list was compiled: Sheet types, wording and worked examples are own work, written 2026-09-18, and every worked example was computed twice. Every sheet offered on this page was printed on 2026-09-20 and read against its description; the share of rows with a zero that a description gives was counted over 300 printed sheets. What expanded form means and where it is taught were read on 2026-09-19, and again on 2026-09-20, in the full text of the Common Core State Standards for Mathematics (https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf : the glossary entry Expanded form, with its example 643 = 600 + 40 + 3; 1.NBT.2; 2.NBT.3 and 2.NBT.4, to 1000; 4.NBT.2 and the grade 4 note that limits whole numbers to 1,000,000; grade 3 names no expanded form standard) and of the Texas Essential Knowledge and Skills, 19 TAC chapter 111 (https://tea.texas.gov/sites/default/files/ch111a.pdf : 1.2(C) expanded and standard forms up to 120; 2.2(B) and 2.2(D) up to 1,200; 3.2(A) and 3.2(D) up to 100,000, with expanded notation as appropriate; 4.2(B) expanded notation and numerals). The standards are used as a checklist of number sizes and skills only. Licence: own work