Numbers to 10 Million - Worksheet Digital - Free Printable
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Step-by-step solution for: Numbers to 10 Million - Worksheet Digital
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Show Answer Key & Explanations
Step-by-step solution for: Numbers to 10 Million - Worksheet Digital
To write a number in expanded form, we break it down by the value of each digit. We look at what place each digit is in (millions, hundred thousands, ten thousands, thousands, hundreds, tens, or ones) and write that value out. If there is a zero in a place, we skip it because it has no value to add.
Here is the step-by-step breakdown for each number on your worksheet:
1. 3,002,932
* 3 is in the millions place: $3,000,000$
* 0s in hundred thousands and ten thousands: skip
* 2 is in the thousands place: $2,000$
* 9 is in the hundreds place: $900$
* 3 is in the tens place: $30$
* 2 is in the ones place: $2$
* Result: $3,000,000 + 2,000 + 900 + 30 + 2$
2. 1,703,200
* 1 is in the millions place: $1,000,000$
* 7 is in the hundred thousands place: $700,000$
* 0 in ten thousands: skip
* 3 is in the thousands place: $3,000$
* 2 is in the hundreds place: $200$
* 0s in tens and ones: skip
* Result: $1,000,000 + 700,000 + 3,000 + 200$
3. 6,203,921
* 6 is in the millions place: $6,000,000$
* 2 is in the hundred thousands place: $200,000$
* 0 in ten thousands: skip
* 3 is in the thousands place: $3,000$
* 9 is in the hundreds place: $900$
* 2 is in the tens place: $20$
* 1 is in the ones place: $1$
* Result: $6,000,000 + 200,000 + 3,000 + 900 + 20 + 1$
4. 7,802,400
* 7 is in the millions place: $7,000,000$
* 8 is in the hundred thousands place: $800,000$
* 0 in ten thousands: skip
* 2 is in the thousands place: $2,000$
* 4 is in the hundreds place: $400$
* 0s in tens and ones: skip
* Result: $7,000,000 + 800,000 + 2,000 + 400$
5. 9,209,998
* 9 is in the millions place: $9,000,000$
* 2 is in the hundred thousands place: $200,000$
* 0 in ten thousands: skip
* 9 is in the thousands place: $9,000$
* 9 is in the hundreds place: $900$
* 9 is in the tens place: $90$
* 8 is in the ones place: $8$
* Result: $9,000,000 + 200,000 + 9,000 + 900 + 90 + 8$
6. 1,450,546
* 1 is in the millions place: $1,000,000$
* 4 is in the hundred thousands place: $400,000$
* 5 is in the ten thousands place: $50,000$
* 0 in thousands: skip
* 5 is in the hundreds place: $500$
* 4 is in the tens place: $40$
* 6 is in the ones place: $6$
* Result: $1,000,000 + 400,000 + 50,000 + 500 + 40 + 6$
7. 4,096,341
* 4 is in the millions place: $4,000,000$
* 0 in hundred thousands: skip
* 9 is in the ten thousands place: $90,000$
* 6 is in the thousands place: $6,000$
* 3 is in the hundreds place: $300$
* 4 is in the tens place: $40$
* 1 is in the ones place: $1$
* Result: $4,000,000 + 90,000 + 6,000 + 300 + 40 + 1$
8. 2,758,300
* 2 is in the millions place: $2,000,000$
* 7 is in the hundred thousands place: $700,000$
* 5 is in the ten thousands place: $50,000$
* 8 is in the thousands place: $8,000$
* 3 is in the hundreds place: $300$
* 0s in tens and ones: skip
* Result: $2,000,000 + 700,000 + 50,000 + 8,000 + 300$
9. 6,079,221
* 6 is in the millions place: $6,000,000$
* 0 in hundred thousands: skip
* 7 is in the ten thousands place: $70,000$
* 9 is in the thousands place: $9,000$
* 2 is in the hundreds place: $200$
* 2 is in the tens place: $20$
* 1 is in the ones place: $1$
* Result: $6,000,000 + 70,000 + 9,000 + 200 + 20 + 1$
10. 3,129,365
* 3 is in the millions place: $3,000,000$
* 1 is in the hundred thousands place: $100,000$
* 2 is in the ten thousands place: $20,000$
* 9 is in the thousands place: $9,000$
* 3 is in the hundreds place: $300$
* 6 is in the tens place: $60$
* 5 is in the ones place: $5$
* Result: $3,000,000 + 100,000 + 20,000 + 9,000 + 300 + 60 + 5$
11. 4,567,072
* 4 is in the millions place: $4,000,000$
* 5 is in the hundred thousands place: $500,000$
* 6 is in the ten thousands place: $60,000$
* 7 is in the thousands place: $7,000$
* 0 in hundreds: skip
* 7 is in the tens place: $70$
* 2 is in the ones place: $2$
* Result: $4,000,000 + 500,000 + 60,000 + 7,000 + 70 + 2$
12. 1,267,560
* 1 is in the millions place: $1,000,000$
* 2 is in the hundred thousands place: $200,000$
* 6 is in the ten thousands place: $60,000$
* 7 is in the thousands place: $7,000$
* 5 is in the hundreds place: $500$
* 6 is in the tens place: $60$
* 0 in ones: skip
* Result: $1,000,000 + 200,000 + 60,000 + 7,000 + 500 + 60$
13. 2,930,456
* 2 is in the millions place: $2,000,000$
* 9 is in the hundred thousands place: $900,000$
* 3 is in the ten thousands place: $30,000$
* 0 in thousands: skip
* 4 is in the hundreds place: $400$
* 5 is in the tens place: $50$
* 6 is in the ones place: $6$
* Result: $2,000,000 + 900,000 + 30,000 + 400 + 50 + 6$
14. 2,315,109
* 2 is in the millions place: $2,000,000$
* 3 is in the hundred thousands place: $300,000$
* 1 is in the ten thousands place: $10,000$
* 5 is in the thousands place: $5,000$
* 1 is in the hundreds place: $100$
* 0 in tens: skip
* 9 is in the ones place: $9$
* Result: $2,000,000 + 300,000 + 10,000 + 5,000 + 100 + 9$
Final Answer:
3,002,932: $3,000,000 + 2,000 + 900 + 30 + 2$
1,703,200: $1,000,000 + 700,000 + 3,000 + 200$
6,203,921: $6,000,000 + 200,000 + 3,000 + 900 + 20 + 1$
7,802,400: $7,000,000 + 800,000 + 2,000 + 400$
9,209,998: $9,000,000 + 200,000 + 9,000 + 900 + 90 + 8$
1,450,546: $1,000,000 + 400,000 + 50,000 + 500 + 40 + 6$
4,096,341: $4,000,000 + 90,000 + 6,000 + 300 + 40 + 1$
2,758,300: $2,000,000 + 700,000 + 50,000 + 8,000 + 300$
6,079,221: $6,000,000 + 70,000 + 9,000 + 200 + 20 + 1$
3,129,365: $3,000,000 + 100,000 + 20,000 + 9,000 + 300 + 60 + 5$
4,567,072: $4,000,000 + 500,000 + 60,000 + 7,000 + 70 + 2$
1,267,560: $1,000,000 + 200,000 + 60,000 + 7,000 + 500 + 60$
2,930,456: $2,000,000 + 900,000 + 30,000 + 400 + 50 + 6$
2,315,109: $2,000,000 + 300,000 + 10,000 + 5,000 + 100 + 9$
Here is the step-by-step breakdown for each number on your worksheet:
1. 3,002,932
* 3 is in the millions place: $3,000,000$
* 0s in hundred thousands and ten thousands: skip
* 2 is in the thousands place: $2,000$
* 9 is in the hundreds place: $900$
* 3 is in the tens place: $30$
* 2 is in the ones place: $2$
* Result: $3,000,000 + 2,000 + 900 + 30 + 2$
2. 1,703,200
* 1 is in the millions place: $1,000,000$
* 7 is in the hundred thousands place: $700,000$
* 0 in ten thousands: skip
* 3 is in the thousands place: $3,000$
* 2 is in the hundreds place: $200$
* 0s in tens and ones: skip
* Result: $1,000,000 + 700,000 + 3,000 + 200$
3. 6,203,921
* 6 is in the millions place: $6,000,000$
* 2 is in the hundred thousands place: $200,000$
* 0 in ten thousands: skip
* 3 is in the thousands place: $3,000$
* 9 is in the hundreds place: $900$
* 2 is in the tens place: $20$
* 1 is in the ones place: $1$
* Result: $6,000,000 + 200,000 + 3,000 + 900 + 20 + 1$
4. 7,802,400
* 7 is in the millions place: $7,000,000$
* 8 is in the hundred thousands place: $800,000$
* 0 in ten thousands: skip
* 2 is in the thousands place: $2,000$
* 4 is in the hundreds place: $400$
* 0s in tens and ones: skip
* Result: $7,000,000 + 800,000 + 2,000 + 400$
5. 9,209,998
* 9 is in the millions place: $9,000,000$
* 2 is in the hundred thousands place: $200,000$
* 0 in ten thousands: skip
* 9 is in the thousands place: $9,000$
* 9 is in the hundreds place: $900$
* 9 is in the tens place: $90$
* 8 is in the ones place: $8$
* Result: $9,000,000 + 200,000 + 9,000 + 900 + 90 + 8$
6. 1,450,546
* 1 is in the millions place: $1,000,000$
* 4 is in the hundred thousands place: $400,000$
* 5 is in the ten thousands place: $50,000$
* 0 in thousands: skip
* 5 is in the hundreds place: $500$
* 4 is in the tens place: $40$
* 6 is in the ones place: $6$
* Result: $1,000,000 + 400,000 + 50,000 + 500 + 40 + 6$
7. 4,096,341
* 4 is in the millions place: $4,000,000$
* 0 in hundred thousands: skip
* 9 is in the ten thousands place: $90,000$
* 6 is in the thousands place: $6,000$
* 3 is in the hundreds place: $300$
* 4 is in the tens place: $40$
* 1 is in the ones place: $1$
* Result: $4,000,000 + 90,000 + 6,000 + 300 + 40 + 1$
8. 2,758,300
* 2 is in the millions place: $2,000,000$
* 7 is in the hundred thousands place: $700,000$
* 5 is in the ten thousands place: $50,000$
* 8 is in the thousands place: $8,000$
* 3 is in the hundreds place: $300$
* 0s in tens and ones: skip
* Result: $2,000,000 + 700,000 + 50,000 + 8,000 + 300$
9. 6,079,221
* 6 is in the millions place: $6,000,000$
* 0 in hundred thousands: skip
* 7 is in the ten thousands place: $70,000$
* 9 is in the thousands place: $9,000$
* 2 is in the hundreds place: $200$
* 2 is in the tens place: $20$
* 1 is in the ones place: $1$
* Result: $6,000,000 + 70,000 + 9,000 + 200 + 20 + 1$
10. 3,129,365
* 3 is in the millions place: $3,000,000$
* 1 is in the hundred thousands place: $100,000$
* 2 is in the ten thousands place: $20,000$
* 9 is in the thousands place: $9,000$
* 3 is in the hundreds place: $300$
* 6 is in the tens place: $60$
* 5 is in the ones place: $5$
* Result: $3,000,000 + 100,000 + 20,000 + 9,000 + 300 + 60 + 5$
11. 4,567,072
* 4 is in the millions place: $4,000,000$
* 5 is in the hundred thousands place: $500,000$
* 6 is in the ten thousands place: $60,000$
* 7 is in the thousands place: $7,000$
* 0 in hundreds: skip
* 7 is in the tens place: $70$
* 2 is in the ones place: $2$
* Result: $4,000,000 + 500,000 + 60,000 + 7,000 + 70 + 2$
12. 1,267,560
* 1 is in the millions place: $1,000,000$
* 2 is in the hundred thousands place: $200,000$
* 6 is in the ten thousands place: $60,000$
* 7 is in the thousands place: $7,000$
* 5 is in the hundreds place: $500$
* 6 is in the tens place: $60$
* 0 in ones: skip
* Result: $1,000,000 + 200,000 + 60,000 + 7,000 + 500 + 60$
13. 2,930,456
* 2 is in the millions place: $2,000,000$
* 9 is in the hundred thousands place: $900,000$
* 3 is in the ten thousands place: $30,000$
* 0 in thousands: skip
* 4 is in the hundreds place: $400$
* 5 is in the tens place: $50$
* 6 is in the ones place: $6$
* Result: $2,000,000 + 900,000 + 30,000 + 400 + 50 + 6$
14. 2,315,109
* 2 is in the millions place: $2,000,000$
* 3 is in the hundred thousands place: $300,000$
* 1 is in the ten thousands place: $10,000$
* 5 is in the thousands place: $5,000$
* 1 is in the hundreds place: $100$
* 0 in tens: skip
* 9 is in the ones place: $9$
* Result: $2,000,000 + 300,000 + 10,000 + 5,000 + 100 + 9$
Final Answer:
3,002,932: $3,000,000 + 2,000 + 900 + 30 + 2$
1,703,200: $1,000,000 + 700,000 + 3,000 + 200$
6,203,921: $6,000,000 + 200,000 + 3,000 + 900 + 20 + 1$
7,802,400: $7,000,000 + 800,000 + 2,000 + 400$
9,209,998: $9,000,000 + 200,000 + 9,000 + 900 + 90 + 8$
1,450,546: $1,000,000 + 400,000 + 50,000 + 500 + 40 + 6$
4,096,341: $4,000,000 + 90,000 + 6,000 + 300 + 40 + 1$
2,758,300: $2,000,000 + 700,000 + 50,000 + 8,000 + 300$
6,079,221: $6,000,000 + 70,000 + 9,000 + 200 + 20 + 1$
3,129,365: $3,000,000 + 100,000 + 20,000 + 9,000 + 300 + 60 + 5$
4,567,072: $4,000,000 + 500,000 + 60,000 + 7,000 + 70 + 2$
1,267,560: $1,000,000 + 200,000 + 60,000 + 7,000 + 500 + 60$
2,930,456: $2,000,000 + 900,000 + 30,000 + 400 + 50 + 6$
2,315,109: $2,000,000 + 300,000 + 10,000 + 5,000 + 100 + 9$
Parent Tip: Review the logic above to help your child master the concept of place value millions worksheet.