This Grade 5 math worksheet challenges students to find the missing numbers when a value is written in expanded form.

Let’s solve each problem step by step. We are breaking numbers into their place values: ten thousands, thousands, hundreds, tens, and ones.

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1. 35544 = 30000 + 5000 + 500 + 40 + ?

We add what we have:
30000 + 5000 = 35000
35000 + 500 = 35500
35500 + 40 = 35540
So, 35544 - 35540 = 4

→ Missing number: 4

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2. 93403 = 90000 + ? + ? + ? + 3

Break down 93403:

- Ten thousands: 90000 → given
- Thousands: 3000 (because 93403 has “3” in thousands place)
- Hundreds: 400 (because “4” is in hundreds place)
- Tens: 0 (because “0” is in tens place — so we write 0 or leave blank? But the box is there — we must put 0 if needed. However, looking at pattern, sometimes they skip zero places? Wait — let’s check the structure.)

Wait — look at the format: all problems show 5 boxes after the equals sign, meaning we need to fill all 5 place values even if some are zero? But in problem 1, they didn’t include a zero for ones until the end — actually, in problem 1, the last box was for ones, which was 4.

In problem 2: 93403

Digits:
Ten thousands: 9 → 90000
Thousands: 3 → 3000
Hundreds: 4 → 400
Tens: 0 → 0
Ones: 3 → 3

But in the equation, it shows:
90000 + ___ + ___ + ___ + 3

That means the last box is ones (already filled as 3), so the three middle blanks are thousands, hundreds, tens.

So:

→ Thousands: 3000
→ Hundreds: 400
→ Tens: 0

But wait — does the worksheet expect us to write 0? Let’s check other examples.

Look at problem 5: 53030 = ___ + 3000 + ___ + ___ + 0

Here, the last box is 0 (ones place). So yes, they do include zeros when needed.

So for 93403:

= 90000 + 3000 + 400 + 0 + 3

But hold on — the tens digit is 0, so we should write 0 in that box.

However, let me double-check with another example.

Problem 8: 65002 = 60000 + 5000 + ___ + ___ + 2

Digits: 6 (ten thousands), 5 (thousands), 0 (hundreds), 0 (tens), 2 (ones)

So missing: hundreds = 0, tens = 0

So yes, we write 0.

Therefore, for 93403:

Missing: thousands = 3000, hundreds = 400, tens = 0

→ Boxes: 3000, 400, 0

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3. 12823 = ___ + 2000 + 800 + ___ + ___

Breakdown:

Ten thousands: 1 → 10000
Thousands: 2 → 2000 (given)
Hundreds: 8 → 800 (given)
Tens: 2 → 20
Ones: 3 → 3

So:

First blank (ten thousands): 10000
Fourth blank (tens): 20
Fifth blank (ones): 3

→ 10000, 20, 3

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4. 38867 = 30000 + ___ + ___ + 60 + 7

Digits:

Ten thousands: 3 → 30000 (given)
Thousands: 8 → 8000
Hundreds: 8 → 800
Tens: 6 → 60 (given)
Ones: 7 → 7 (given)

So missing: thousands = 8000, hundreds = 800

→ 8000, 800

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5. 53030 = ___ + 3000 + ___ + ___ + 0

Digits:

Ten thousands: 5 → 50000
Thousands: 3 → 3000 (given)
Hundreds: 0 → 0
Tens: 3 → 30
Ones: 0 → 0 (given)

So:

First blank (ten thousands): 50000
Third blank (hundreds): 0
Fourth blank (tens): 30

→ 50000, 0, 30

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6. 45454 = ___ + ___ + 400 + ___ + 4

Digits:

Ten thousands: 4 → 40000
Thousands: 5 → 5000
Hundreds: 4 → 400 (given)
Tens: 5 → 50
Ones: 4 → 4 (given)

So:

First blank: 40000
Second blank: 5000
Fourth blank: 50

→ 40000, 5000, 50

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7. 47326 = ___ + ___ + 300 + 20 + ___

Digits:

Ten thousands: 4 → 40000
Thousands: 7 → 7000
Hundreds: 3 → 300 (given)
Tens: 2 → 20 (given)
Ones: 6 → 6

So:

First blank: 40000
Second blank: 7000
Last blank: 6

→ 40000, 7000, 6

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8. 65002 = 60000 + 5000 + ___ + ___ + 2

Digits:

Ten thousands: 6 → 60000 (given)
Thousands: 5 → 5000 (given)
Hundreds: 0 → 0
Tens: 0 → 0
Ones: 2 → 2 (given)

So:

Third blank (hundreds): 0
Fourth blank (tens): 0

→ 0, 0

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Now, let’s compile all answers row by row.

Row 1: 35544 → missing: 4

Row 2: 93403 → missing: 3000, 400, 0

Row 3: 12823 → missing: 10000, 20, 3

Row 4: 38867 → missing: 8000, 800

Row 5: 53030 → missing: 50000, 0, 30

Row 6: 45454 → missing: 40000, 5000, 50

Row 7: 47326 → missing: 40000, 7000, 6

Row 8: 65002 → missing: 0, 0

Let me verify one more time quickly.

Check Row 2: 90000 + 3000 = 93000; +400 = 93400; +0 = 93400; +3 = 93403 ✔

Row 5: 50000 + 3000 = 53000; +0 = 53000; +30 = 53030; +0 = 53030 ✔

Row 8: 60000 + 5000 = 65000; +0 +0 +2 = 65002 ✔

All good.

Final Answer:

Row 1: 4
Row 2: 3000, 400, 0
Row 3: 10000, 20, 3
Row 4: 8000, 800
Row 5: 50000, 0, 30
Row 6: 40000, 5000, 50
Row 7: 40000, 7000, 6
Row 8: 0, 0