Math Expanded Form Worksheets for Grade 4 - Kidpid - Free Printable

To find the expanded form of a number, we look at the value of each digit based on its position (place value).

Here is the step-by-step breakdown for each number:

1. 57323
* The 5 is in the ten-thousands place: $50,000$
* The 7 is in the thousands place: $7,000$
* The 3 is in the hundreds place: $300$
* The 2 is in the tens place: $20$
* The 3 is in the ones place: $3$
* Result: $50000 + 7000 + 300 + 20 + 3$

2. 67529
* The 6 is in the ten-thousands place: $60,000$
* The 7 is in the thousands place: $7,000$
* The 5 is in the hundreds place: $500$
* The 2 is in the tens place: $20$
* The 9 is in the ones place: $9$
* Result: $60000 + 7000 + 500 + 20 + 9$

3. 72349
* The 7 is in the ten-thousands place: $70,000$
* The 2 is in the thousands place: $2,000$
* The 3 is in the hundreds place: $300$
* The 4 is in the tens place: $40$
* The 9 is in the ones place: $9$
* Result: $70000 + 2000 + 300 + 40 + 9$

4. 98324
* The 9 is in the ten-thousands place: $90,000$
* The 8 is in the thousands place: $8,000$
* The 3 is in the hundreds place: $300$
* The 2 is in the tens place: $20$
* The 4 is in the ones place: $4$
* Result: $90000 + 8000 + 300 + 20 + 4$

5. 23802
* The 2 is in the ten-thousands place: $20,000$
* The 3 is in the thousands place: $3,000$
* The 8 is in the hundreds place: $800$
* The 0 is in the tens place: Since it is zero, we skip it or write $+ 0$. Following the example style which lists all non-zero values, we usually skip zeros, but let's look at the example $21214$. It listed every place. However, standard expanded form often omits the zero term. Let's look at the example again: $20000 + 1000 + 200 + 10 + 4$. All digits were non-zero. For $23802$, the tens digit is 0. Usually, you just omit that part. So: $20,000 + 3,000 + 800 + 2$.
* Result: $20000 + 3000 + 800 + 2$

6. 42992
* The 4 is in the ten-thousands place: $40,000$
* The 2 is in the thousands place: $2,000$
* The 9 is in the hundreds place: $900$
* The 9 is in the tens place: $90$
* The 2 is in the ones place: $2$
* Result: $40000 + 2000 + 900 + 90 + 2$

7. 52392
* The 5 is in the ten-thousands place: $50,000$
* The 2 is in the thousands place: $2,000$
* The 3 is in the hundreds place: $300$
* The 9 is in the tens place: $90$
* The 2 is in the ones place: $2$
* Result: $50000 + 2000 + 300 + 90 + 2$

8. 86490
* The 8 is in the ten-thousands place: $80,000$
* The 6 is in the thousands place: $6,000$
* The 4 is in the hundreds place: $400$
* The 9 is in the tens place: $90$
* The 0 is in the ones place: We skip this.
* Result: $80000 + 6000 + 400 + 90$

Final Answer:
57323: $50000 + 7000 + 300 + 20 + 3$
67529: $60000 + 7000 + 500 + 20 + 9$
72349: $70000 + 2000 + 300 + 40 + 9$
98324: $90000 + 8000 + 300 + 20 + 4$
23802: $20000 + 3000 + 800 + 2$
42992: $40000 + 2000 + 900 + 90 + 2$
52392: $50000 + 2000 + 300 + 90 + 2$
86490: $80000 + 6000 + 400 + 90$