Let's solve the problem step by step.
Task:
Write each number in
expanded form.
Expanded form means breaking down a number into the sum of the values of its digits based on their place value (hundreds, thousands, etc.).
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We'll go through each number one by one.
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1. 437,642
Break it down by place value:
- 4 is in the
hundred thousands place → 400,000
- 3 is in the
ten thousands place → 30,000
- 7 is in the
thousands place → 7,000
- 6 is in the
hundreds place → 600
- 4 is in the
tens place → 40
- 2 is in the
ones place → 2
So,
>
437,642 = 400,000 + 30,000 + 7,000 + 600 + 40 + 2
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2. 742,546
- 7 → 700,000
- 4 → 40,000
- 2 → 2,000
- 5 → 500
- 4 → 40
- 6 → 6
>
742,546 = 700,000 + 40,000 + 2,000 + 500 + 40 + 6
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3. 573,364
- 5 → 500,000
- 7 → 70,000
- 3 → 3,000
- 3 → 300
- 6 → 60
- 4 → 4
>
573,364 = 500,000 + 70,000 + 3,000 + 300 + 60 + 4
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4. 257,203
- 2 → 200,000
- 5 → 50,000
- 7 → 7,000
- 2 → 200
- 0 → 0 (no tens)
- 3 → 3
>
257,203 = 200,000 + 50,000 + 7,000 + 200 + 0 + 3
Or simply:
>
257,203 = 200,000 + 50,000 + 7,000 + 200 + 3
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5. 632,245
- 6 → 600,000
- 3 → 30,000
- 2 → 2,000
- 2 → 200
- 4 → 40
- 5 → 5
>
632,245 = 600,000 + 30,000 + 2,000 + 200 + 40 + 5
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6. 864,328
- 8 → 800,000
- 6 → 60,000
- 4 → 4,000
- 3 → 300
- 2 → 20
- 8 → 8
>
864,328 = 800,000 + 60,000 + 4,000 + 300 + 20 + 8
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7. 953,242
- 9 → 900,000
- 5 → 50,000
- 3 → 3,000
- 2 → 200
- 4 → 40
- 2 → 2
>
953,242 = 900,000 + 50,000 + 3,000 + 200 + 40 + 2
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8. 513,543
- 5 → 500,000
- 1 → 10,000
- 3 → 3,000
- 5 → 500
- 4 → 40
- 3 → 3
>
513,543 = 500,000 + 10,000 + 3,000 + 500 + 40 + 3
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✔ Final Answers:
1.
437,642 = 400,000 + 30,000 + 7,000 + 600 + 40 + 2
2.
742,546 = 700,000 + 40,000 + 2,000 + 500 + 40 + 6
3.
573,364 = 500,000 + 70,000 + 3,000 + 300 + 60 + 4
4.
257,203 = 200,000 + 50,000 + 7,000 + 200 + 3
5.
632,245 = 600,000 + 30,000 + 2,000 + 200 + 40 + 5
6.
864,328 = 800,000 + 60,000 + 4,000 + 300 + 20 + 8
7.
953,242 = 900,000 + 50,000 + 3,000 + 200 + 40 + 2
8.
513,543 = 500,000 + 10,000 + 3,000 + 500 + 40 + 3
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✔ Explanation Summary:
To write a number in expanded form, identify the digit in each place (hundred thousands, ten thousands, etc.), multiply it by the value of that place, and add them all together. This helps understand how numbers are built from individual digits.
Let me know if you'd like this as a printable worksheet or need help with other math problems!
Parent Tip: Review the logic above to help your child master the concept of expanded notation worksheet grade 4.
