Math worksheet for practicing place value using flats, longs, and ones to solve mystery numbers.

Let's solve this step-by-step.

This worksheet is about understanding place value using base-10 blocks:

- A flat = 100 (a hundred)
- A long = 10 (a ten)
- A one = 1 (a unit)

We need to convert each description into a number by calculating:

> (Number of flats × 100) + (Number of longs × 10) + (Number of ones × 1)

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Let's go through each problem:

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1. I have 4 flats, 8 longs and 14 ones.

- 4 flats = 4 × 100 = 400
- 8 longs = 8 × 10 = 80
- 14 ones = 14 × 1 = 14
- Total = 400 + 80 + 14 = 494

✔ Answer: 494

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2. I have 12 longs, 9 ones and 6 flats.

- 6 flats = 6 × 100 = 600
- 12 longs = 12 × 10 = 120
- 9 ones = 9 × 1 = 9
- Total = 600 + 120 + 9 = 729

✔ Answer: 729

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3. I have 10 ones, 7 flats and 6 longs.

- 7 flats = 7 × 100 = 700
- 6 longs = 6 × 10 = 60
- 10 ones = 10 × 1 = 10
- Total = 700 + 60 + 10 = 770

✔ Answer: 770

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4. I have 12 longs, 6 ones and 5 flats.

- 5 flats = 5 × 100 = 500
- 12 longs = 12 × 10 = 120
- 6 ones = 6 × 1 = 6
- Total = 500 + 120 + 6 = 626

✔ Answer: 626

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5. I have 8 ones, 8 flats and 14 longs.

- 8 flats = 8 × 100 = 800
- 14 longs = 14 × 10 = 140
- 8 ones = 8 × 1 = 8
- Total = 800 + 140 + 8 = 948

✔ Answer: 948

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6. I have 1 long, 15 ones and 8 flats.

- 8 flats = 8 × 100 = 800
- 1 long = 1 × 10 = 10
- 15 ones = 15 × 1 = 15
- Total = 800 + 10 + 15 = 825

✔ Answer: 825

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7. I have 4 ones, 12 longs and 2 flats.

- 2 flats = 2 × 100 = 200
- 12 longs = 12 × 10 = 120
- 4 ones = 4 × 1 = 4
- Total = 200 + 120 + 4 = 324

✔ Answer: 324

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8. I have 8 longs, 5 longs and 10 ones.

Wait — this says "8 longs, 5 longs" — that’s probably a typo or misphrasing. But let’s read it carefully:

> "I have 8 longs, 5 longs and 10 ones."

That seems like a mistake — two separate "longs" values? Probably meant to be:

“I have 8 longs, 5 flats and 10 ones” — but the original says “5 longs”.

Wait, let’s check again:
"I have 8 longs, 5 longs and 10 ones."

That would be 8 + 5 = 13 longs.

But no mention of flats.

So:
- Longs: 8 + 5 = 13 longs → 13 × 10 = 130
- Ones: 10 × 1 = 10
- Flats: 0

Total = 130 + 10 = 140

But wait — maybe it's a typo and should be “5 flats”? That would make more sense.

But as written: "8 longs, 5 longs and 10 ones" → total of 13 longs.

So:
- 13 longs = 130
- 10 ones = 10
- No flats → 0

Total = 140

✔ Answer: 140

(Though possibly intended as 8 longs, 5 flats, 10 ones → then it’d be 80 + 500 + 10 = 590. But based on text, we go with what’s written.)

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9. I have 14 longs, 4 flats and 6 ones.

- 4 flats = 4 × 100 = 400
- 14 longs = 14 × 10 = 140
- 6 ones = 6
- Total = 400 + 140 + 6 = 546

✔ Answer: 546

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10. I have 5 flats, 15 ones and 4 longs.

- 5 flats = 5 × 100 = 500
- 4 longs = 4 × 10 = 40
- 15 ones = 15
- Total = 500 + 40 + 15 = 555

✔ Answer: 555

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Final Answers:

1. 494
2. 729
3. 770
4. 626
5. 948
6. 825
7. 324
8. 140 *(assuming "8 longs, 5 longs" means 13 longs)*
9. 546
10. 555

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✔ All solved!

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