Place Value Worksheets: 7 Digits - Free Printable

Let's solve the "Ordering Numbers: 7-Digit" worksheet step by step. The goal is to rewrite each list of numbers in order from least to greatest.

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a.

Numbers:
1,221,121 1,212,211 1,221,112 1,212,221 122,221

#### Step-by-step:
- First, note that 122,221 is only 6 digits, while others are 7-digit numbers.
- So, 122,221 is the smallest because it’s less than all 7-digit numbers (which start with 1 million).
- Now compare the 7-digit numbers:
- Look at the first digit: All start with 1, so go to the second digit.
- Compare the hundred thousands place:
- 1,221,121 → 2
- 1,212,211 → 2
- 1,221,112 → 2
- 1,212,221 → 2
- All have 2 in the second digit → move to third digit (ten thousands place).

- Third digit:
- 1,221,121 → 2
- 1,212,211 → 1
- 1,221,112 → 2
- 1,212,221 → 1

So we can split into two groups:
- Group A (third digit = 1): 1,212,211 and 1,212,221
- Group B (third digit = 2): 1,221,121 and 1,221,112

Now compare within each group:

Group A:
- 1,212,211 vs. 1,212,221
- First four digits: 1,212 same
- Fifth digit: 2 vs. 2 → same
- Sixth digit: 1 vs. 2 → 1 < 2
→ So: 1,212,211 < 1,212,221

Group B:
- 1,221,121 vs. 1,221,112
- First five digits: 1,221,1 same
- Sixth digit: 2 vs. 1 → 1 < 2
→ So: 1,221,112 < 1,221,121

Now combine all:
- Smallest: 122,221
- Then: 1,212,211
- Then: 1,212,221
- Then: 1,221,112
- Then: 1,221,121

✔ Answer a:
122,221, 1,212,211, 1,212,221, 1,221,112, 1,221,121

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b.

Numbers:
7,003,330 7,300,330 7,030,330 7,003,033 7,300,033

All are 7-digit numbers starting with 7, so compare next digits.

Look at hundred thousands place (second digit):
- 7,003,330 → 0
- 7,300,330 → 3
- 7,030,330 → 0
- 7,003,033 → 0
- 7,300,033 → 3

So two groups:
- Second digit = 0: 7,003,330; 7,030,330; 7,003,033
- Second digit = 3: 7,300,330; 7,300,033

Group A (second digit = 0):
Compare third digit (ten thousands):
- 7,003,330 → 0
- 7,030,330 → 3
- 7,003,033 → 0

So:
- 7,003,330 and 7,003,033 both have 0 in third digit → compare fourth digit (thousands)
- 7,003,330 → 3
- 7,003,033 → 0 → so 7,003,033 < 7,003,330
- 7,030,330 has 3 in third digit → larger than the other two

So order in Group A:
7,003,033 < 7,003,330 < 7,030,330

Group B (second digit = 3):
- 7,300,330 vs. 7,300,033
- First four digits: 7,300 same
- Fifth digit: 3 vs. 0 → 0 < 3 → so 7,300,033 < 7,300,330

Now combine:
- 7,003,033
- 7,003,330
- 7,030,330
- 7,300,033
- 7,300,330

✔ Answer b:
7,003,033, 7,003,330, 7,030,330, 7,300,033, 7,300,330

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c.

Numbers:
3,995,500 3,995,505 3,995,550 399,995 3,990,955

Note: 399,995 is 6 digits, others are 7-digit → so it's the smallest.

Now compare the 7-digit numbers:
All start with 3, so look at second digit:
- 3,995,500 → 9
- 3,995,505 → 9
- 3,995,550 → 9
- 3,990,955 → 9

All have 9 → move to third digit:
- 3,995,500 → 9
- 3,995,505 → 9
- 3,995,550 → 9
- 3,990,955 → 0 → this one is smaller!

So:
- 3,990,955 has 0 in third digit → smaller than others
- Others have 9 → so they’re larger

Now compare the three with 9 in third digit:
- 3,995,500
- 3,995,505
- 3,995,550

They all start with 3,995 → so compare fifth digit (hundreds):
- 3,995,500 → 5
- 3,995,505 → 5
- 3,995,550 → 5

Same → sixth digit (tens):
- 3,995,500 → 0
- 3,995,505 → 0
- 3,995,550 → 5 → largest

Now compare 3,995,500 and 3,995,505:
- Same up to tens place
- Units digit: 0 vs. 5 → 0 < 5 → so 3,995,500 < 3,995,505

So order:
- 399,995 (smallest)
- 3,990,955
- 3,995,500
- 3,995,505
- 3,995,550

✔ Answer c:
399,995, 3,990,955, 3,995,500, 3,995,505, 3,995,550

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d.

Numbers:
4,688,886 4,668,886 4,668,868 4,688,664 4,688,866

All are 7-digit, start with 4, so compare second digit:
- 4,688,886 → 6
- 4,668,886 → 6
- 4,668,868 → 6
- 4,688,664 → 6
- 4,688,866 → 6

All have 6 → move to third digit:
- 4,688,886 → 8
- 4,668,886 → 6
- 4,668,868 → 6
- 4,688,664 → 8
- 4,688,866 → 8

So:
- Third digit = 6: 4,668,886 and 4,668,868
- Third digit = 8: 4,688,886, 4,688,664, 4,688,866

Group A (third digit = 6):
- 4,668,886 vs. 4,668,868
- First four digits: 4,668 same
- Fifth digit: 8 vs. 8 → same
- Sixth digit: 8 vs. 6 → 6 < 8 → so 4,668,868 < 4,668,886

Group B (third digit = 8):
All start with 4,688 → compare fourth digit:
- 4,688,886 → 8
- 4,688,664 → 6
- 4,688,866 → 8

So:
- 4,688,664 has 6 in fourth digit → smaller
- 4,688,886 and 4,688,866 have 8 → compare further

Now compare 4,688,886 and 4,688,866:
- Same up to fifth digit (8)
- Sixth digit: 8 vs. 6 → 6 < 8 → so 4,688,866 < 4,688,886

So order in Group B:
4,688,664 < 4,688,866 < 4,688,886

Now full order:
- 4,668,868
- 4,668,886
- 4,688,664
- 4,688,866
- 4,688,886

✔ Answer d:
4,668,868, 4,668,886, 4,688,664, 4,688,866, 4,688,886

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✔ Final Answers:

a. 122,221, 1,212,211, 1,212,221, 1,221,112, 1,221,121
b. 7,003,033, 7,003,330, 7,030,330, 7,300,033, 7,300,330
c. 399,995, 3,990,955, 3,995,500, 3,995,505, 3,995,550
d. 4,668,868, 4,668,886, 4,688,664, 4,688,866, 4,688,886

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🔁 Bonus Task:

> In the box below, write five 7-digit numbers. Have a friend rewrite them in order, from least to greatest.

Example:
Write:
4,123,456 7,890,123 2,345,678 5,678,901 1,234,567

Then your friend should order them as:
1,234,567, 2,345,678, 4,123,456, 5,678,901, 7,890,123

(You can pick any 5 7-digit numbers.)

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Let me know if you'd like a printable version or want help checking a friend's answers!