Sure! Let’s solve the problem step by step.
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🎯 Task: Write each number in expanded form.
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Expanded form means breaking down a number to show the value of each digit based on its place value (hundreds, tens, ones, tenths, hundredths, thousandths, etc.).
For example:
- 655.872 = 600 + 50 + 5 + 0.8 + 0.07 + 0.002
We’ll do this for all 15 numbers.
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✏️ Solutions
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1) 655.872
= 600 + 50 + 5 + 0.8 + 0.07 + 0.002
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2) 154.223
= 100 + 50 + 4 + 0.2 + 0.02 + 0.003
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3) 842.624
= 800 + 40 + 2 + 0.6 + 0.02 + 0.004
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4) 731.159
= 700 + 30 + 1 + 0.1 + 0.05 + 0.009
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5) 292.998
= 200 + 90 + 2 + 0.9 + 0.09 + 0.008
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6) 276.844
= 200 + 70 + 6 + 0.8 + 0.04 + 0.004
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7) 484.895
= 400 + 80 + 4 + 0.8 + 0.09 + 0.005
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8) 632.756
= 600 + 30 + 2 + 0.7 + 0.05 + 0.006
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9) 515.987
= 500 + 10 + 5 + 0.9 + 0.08 + 0.007
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10) 127.853
= 100 + 20 + 7 + 0.8 + 0.05 + 0.003
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11) 592.114
= 500 + 90 + 2 + 0.1 + 0.01 + 0.004
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12) 766.988
= 700 + 60 + 6 + 0.9 + 0.08 + 0.008
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13) 534.383
= 500 + 30 + 4 + 0.3 + 0.08 + 0.003
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14) 224.597
= 200 + 20 + 4 + 0.5 + 0.09 + 0.007
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15) 239.879
= 200 + 30 + 9 + 0.8 + 0.07 + 0.009
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💡 How to Do It Yourself
1. Look at each digit and its position.
2. Multiply the digit by its place value:
- Hundreds → ×100
- Tens → ×10
- Ones → ×1
- Tenths → ×0.1
- Hundredths → ×0.01
- Thousandths → ×0.001
3. Add them all together with “+” signs.
Example:
239.879
→ 2×100 = 200
→ 3×10 = 30
→ 9×1 = 9
→ 8×0.1 = 0.8
→ 7×0.01 = 0.07
→ 9×0.001 = 0.009
→ Final:
200 + 30 + 9 + 0.8 + 0.07 + 0.009
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✔ All 15 problems are now solved in expanded form!
Let me know if you’d like these written in word form or another format too.
Parent Tip: Review the logic above to help your child master the concept of place value worksheet words to numbers.
