Worksheet on Expanded Form and Short Form

Worksheet on expanded form and short form helps students understand place value by practicing numbers in expanded form and short form. It includes simple and engaging questions where learners break numbers into thousands, hundreds, tens, and ones, and also combine expanded numbers to form standard numbers. This worksheet builds strong number sense and improves confidence in reading and writing numbers.

What Is Expanded Form in Math?

Expanded form of a number is the sum of the place values of its digits.

Look at the given examples.

145 = 1 hundred + 4 tens + 5 ones = 100 + 40 + 5

182 = 1 hundred + 8 tens + 2 ones = 100 + 80 + 2

105 = 1 hundred + 5 ones = 100 + 5

193 = 1 hundred + 9 tens + 3 ones = 100 + 90 +3

What Is Short Form in Math?

To write the short form of an expanded number, we write the face value of each digit in the correct place.

Look at the given example.

The place value of 1 is 1 hundred. So, we write 1 at the hundreds place.

The place value of 2 is 2 tens. So, we write 2 at the tens place.

The place value of 8 is 8 ones. So, we write 8 at the ones place.

Similarly,

100 + 6 = 106

100 + 80 + 6 = 186

Quick Tip:

We can write a number in three different forms.

1. Write the expanded form of the following numbers.

(a) 167 = 1 hundred + 6 tens + 7 ones = _____ + _____ + _____

(b) 118 = 1 hundred + 1 ten + 8 ones = _____ + _____ + _____

(c) 125 = _____ hundred + _____ tens + _____ ones = 100 + 20 + 5

(d) 156 = _____ hundred + _____ tens + _____ ones = 100 + 50 + 6

(e) _____ = 1 hundred + 4 tens + 4 ones = 100 + 40 + 4

2. Write the short form of the following numbers.

(a) 100 + 6 = _____

(b) 100 + 20 + 9 = _____

(c) 100 + 40 + 4 = _____

(d) 100 + 80 + 7 = _____

(e) 100 + 90 = _____

(f) 100 + 10 + 1 = _____

(g) 100 + 30 + 9 = _____

(h) 100 + 50 + 4 = _____

3. Form the numbers and write in the boxes. One has been done for you.

4. Write the Expanded Form:

(a) 356 = __________________________

(b) 4,209 = __________________________

(c) 7,084 = __________________________

(d) 905 = __________________________

(e) 12,468 = __________________________

5. Write the Short Form:

(i) 600 + 30 + 5 = __________

(ii) 9,000 + 200 + 8 = __________

(iii) 4,000 + 70 + 1 = __________

(iv) 20,000 + 5,000 + 300 + 40 + 6 = __________

(v) 8,000 + 90 = __________

6. Fill in the Blanks:

(a) 5,432 = 5,000 + ______ + ______ + ______

(b) 9,006 = ______ + ______ + ______+ 6

(c) 3,280 = ______ + ______ + ______ + ______

(d) ______ = 7,000 + 400 + 50 + 2

(e) ______ = 1,000 + 300 + 9

7. Word Problems:

Nairiree wrote the number 6,305.
Write it in expanded form.

8. Write the short form of:
    2,000 + 800 + 10 + 4

Answers

1. (a) 100 + 60 + 7

(b) 100 + 10 + 8

(c) 1; 2; 5

(d) 1; 5; 6

(e) 144

2. (a) 106

(b) 129

(c) 144

(d) 187

(e) 190

(f) 111

(g) 139

(h) 154

3. (ii) 370

(iii) 657

(iv) 900

4. (a) 300 + 50 + 6

(b) 4,000 + 200 + 9

(c) 7,000 + 80 + 4

(d) 900 + 5

(e) 10,000 + 2,000 + 400 + 60 + 8

5. (a) 635

(b) 9,208

(c) 4,071

(d) 25,346

(e) 8,090

6. (a) 400; 30; 2

(b) 9,000; 0; 0

(c) 3,000; 200; 80

(d) 7,452

(e) 1,309

7. 6,000 + 300 + 5

8. 2,814

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