Expanded Form - Billions worksheet for math practice.
Worksheet for writing numbers in expanded form up to billions, with examples and practice problems.
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Show Answer Key & Explanations
Step-by-step solution for: Standard and Expanded Form: Billions Place Value | Expanded form ...
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Show Answer Key & Explanations
Step-by-step solution for: Standard and Expanded Form: Billions Place Value | Expanded form ...
Let's solve each problem by writing the numbers in expanded form, which means breaking down the number into the sum of the values of its digits based on their place values (like billions, hundred millions, ten millions, etc.).
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Break it down digit by digit:
- 8 → 800,000,000,000 (hundred billions)
- 5 → 50,000,000,000 (ten billions)
- 3 → 3,000,000,000 (billions)
- 2 → 200,000,000 (hundred millions)
- 1 → 10,000,000 (ten millions)
- 4 → 4,000,000 (millions)
- 9 → 900,000 (hundred thousands)
- 6 → 60,000 (ten thousands)
- 7 → 7,000 (thousands)
- 3 → 300 (hundreds)
- 2 → 20 (tens)
- 5 → 5 (ones)
Expanded form:
> 800,000,000,000 + 50,000,000,000 + 3,000,000,000 + 200,000,000 + 10,000,000 + 4,000,000 + 900,000 + 60,000 + 7,000 + 300 + 20 + 5
✔ This matches the given example.
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Break it down:
- 1 → 10,000,000,000 (ten billions)
- 9 → 9,000,000,000 (billions)
- 3 → 300,000,000 (hundred millions)
- 7 → 70,000,000 (ten millions)
- 1 → 1,000,000 (millions)
- 2 → 200,000 (hundred thousands)
- 6 → 60,000 (ten thousands)
- 8 → 8,000 (thousands)
- 5 → 500 (hundreds)
- 4 → 40 (tens)
- 3 → 3 (ones)
Expanded form:
> 10,000,000,000 + 9,000,000,000 + 300,000,000 + 70,000,000 + 1,000,000 + 200,000 + 60,000 + 8,000 + 500 + 40 + 3
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Break it down:
- 5 → 500,000,000,000 (hundred billions)
- 0 → 0 (ten billions)
- 7 → 7,000,000,000 (billions)
- 8 → 800,000,000 (hundred millions)
- 3 → 30,000,000 (ten millions)
- 1 → 1,000,000 (millions)
- 6 → 600,000 (hundred thousands)
- 4 → 40,000 (ten thousands)
- 2 → 2,000 (thousands)
- 9 → 900 (hundreds)
- 0 → 0 (tens)
- 7 → 7 (ones)
Expanded form:
> 500,000,000,000 + 7,000,000,000 + 800,000,000 + 30,000,000 + 1,000,000 + 600,000 + 40,000 + 2,000 + 900 + 7
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Break it down:
- 2 → 2,000,000,000 (billions)
- 0 → 0 (hundred millions)
- 8 → 80,000,000 (ten millions)
- 3 → 3,000,000 (millions)
- 4 → 400,000 (hundred thousands)
- 5 → 50,000 (ten thousands)
- 7 → 7,000 (thousands)
- 1 → 100 (hundreds)
- 4 → 40 (tens)
- 6 → 6 (ones)
Expanded form:
> 2,000,000,000 + 80,000,000 + 3,000,000 + 400,000 + 50,000 + 7,000 + 100 + 40 + 6
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Break it down:
- 4 → 40,000,000,000 (ten billions)
- 6 → 6,000,000,000 (billions)
- 7 → 700,000,000 (hundred millions)
- 4 → 40,000,000 (ten millions)
- 8 → 8,000,000 (millions)
- 0 → 0 (hundred thousands)
- 3 → 30,000 (ten thousands)
- 6 → 6,000 (thousands)
- 5 → 500 (hundreds)
- 2 → 20 (tens)
- 1 → 1 (ones)
Expanded form:
> 40,000,000,000 + 6,000,000,000 + 700,000,000 + 40,000,000 + 8,000,000 + 30,000 + 6,000 + 500 + 20 + 1
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Break it down:
- 9 → 9,000,000,000 (billions)
- 6 → 600,000,000 (hundred millions)
- 5 → 50,000,000 (ten millions)
- 4 → 4,000,000 (millions)
- 2 → 200,000 (hundred thousands)
- 3 → 30,000 (ten thousands)
- 1 → 1,000 (thousands)
- 7 → 700 (hundreds)
- 3 → 30 (tens)
- 8 → 8 (ones)
Expanded form:
> 9,000,000,000 + 600,000,000 + 50,000,000 + 4,000,000 + 200,000 + 30,000 + 1,000 + 700 + 30 + 8
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Break it down:
- 7 → 700,000,000,000 (hundred billions)
- 6 → 60,000,000,000 (ten billions)
- 0 → 0 (billions)
- 3 → 300,000,000 (hundred millions)
- 9 → 90,000,000 (ten millions)
- 7 → 7,000,000 (millions)
- 4 → 400,000 (hundred thousands)
- 1 → 10,000 (ten thousands)
- 8 → 8,000 (thousands)
- 2 → 200 (hundreds)
- 3 → 30 (tens)
- 5 → 5 (ones)
Expanded form:
> 700,000,000,000 + 60,000,000,000 + 300,000,000 + 90,000,000 + 7,000,000 + 400,000 + 10,000 + 8,000 + 200 + 30 + 5
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1) 800,000,000,000 + 50,000,000,000 + 3,000,000,000 + 200,000,000 + 10,000,000 + 4,000,000 + 900,000 + 60,000 + 7,000 + 300 + 20 + 5
2) 10,000,000,000 + 9,000,000,000 + 300,000,000 + 70,000,000 + 1,000,000 + 200,000 + 60,000 + 8,000 + 500 + 40 + 3
3) 500,000,000,000 + 7,000,000,000 + 800,000,000 + 30,000,000 + 1,000,000 + 600,000 + 40,000 + 2,000 + 900 + 7
4) 2,000,000,000 + 80,000,000 + 3,000,000 + 400,000 + 50,000 + 7,000 + 100 + 40 + 6
5) 40,000,000,000 + 6,000,000,000 + 700,000,000 + 40,000,000 + 8,000,000 + 30,000 + 6,000 + 500 + 20 + 1
6) 9,000,000,000 + 600,000,000 + 50,000,000 + 4,000,000 + 200,000 + 30,000 + 1,000 + 700 + 30 + 8
7) 700,000,000,000 + 60,000,000,000 + 300,000,000 + 90,000,000 + 7,000,000 + 400,000 + 10,000 + 8,000 + 200 + 30 + 5
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1) 853,214,967,325
Break it down digit by digit:
- 8 → 800,000,000,000 (hundred billions)
- 5 → 50,000,000,000 (ten billions)
- 3 → 3,000,000,000 (billions)
- 2 → 200,000,000 (hundred millions)
- 1 → 10,000,000 (ten millions)
- 4 → 4,000,000 (millions)
- 9 → 900,000 (hundred thousands)
- 6 → 60,000 (ten thousands)
- 7 → 7,000 (thousands)
- 3 → 300 (hundreds)
- 2 → 20 (tens)
- 5 → 5 (ones)
Expanded form:
> 800,000,000,000 + 50,000,000,000 + 3,000,000,000 + 200,000,000 + 10,000,000 + 4,000,000 + 900,000 + 60,000 + 7,000 + 300 + 20 + 5
✔ This matches the given example.
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2) 19,371,268,543
Break it down:
- 1 → 10,000,000,000 (ten billions)
- 9 → 9,000,000,000 (billions)
- 3 → 300,000,000 (hundred millions)
- 7 → 70,000,000 (ten millions)
- 1 → 1,000,000 (millions)
- 2 → 200,000 (hundred thousands)
- 6 → 60,000 (ten thousands)
- 8 → 8,000 (thousands)
- 5 → 500 (hundreds)
- 4 → 40 (tens)
- 3 → 3 (ones)
Expanded form:
> 10,000,000,000 + 9,000,000,000 + 300,000,000 + 70,000,000 + 1,000,000 + 200,000 + 60,000 + 8,000 + 500 + 40 + 3
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3) 507,831,642,907
Break it down:
- 5 → 500,000,000,000 (hundred billions)
- 0 → 0 (ten billions)
- 7 → 7,000,000,000 (billions)
- 8 → 800,000,000 (hundred millions)
- 3 → 30,000,000 (ten millions)
- 1 → 1,000,000 (millions)
- 6 → 600,000 (hundred thousands)
- 4 → 40,000 (ten thousands)
- 2 → 2,000 (thousands)
- 9 → 900 (hundreds)
- 0 → 0 (tens)
- 7 → 7 (ones)
Expanded form:
> 500,000,000,000 + 7,000,000,000 + 800,000,000 + 30,000,000 + 1,000,000 + 600,000 + 40,000 + 2,000 + 900 + 7
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4) 2,083,457,146
Break it down:
- 2 → 2,000,000,000 (billions)
- 0 → 0 (hundred millions)
- 8 → 80,000,000 (ten millions)
- 3 → 3,000,000 (millions)
- 4 → 400,000 (hundred thousands)
- 5 → 50,000 (ten thousands)
- 7 → 7,000 (thousands)
- 1 → 100 (hundreds)
- 4 → 40 (tens)
- 6 → 6 (ones)
Expanded form:
> 2,000,000,000 + 80,000,000 + 3,000,000 + 400,000 + 50,000 + 7,000 + 100 + 40 + 6
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5) 46,748,036,521
Break it down:
- 4 → 40,000,000,000 (ten billions)
- 6 → 6,000,000,000 (billions)
- 7 → 700,000,000 (hundred millions)
- 4 → 40,000,000 (ten millions)
- 8 → 8,000,000 (millions)
- 0 → 0 (hundred thousands)
- 3 → 30,000 (ten thousands)
- 6 → 6,000 (thousands)
- 5 → 500 (hundreds)
- 2 → 20 (tens)
- 1 → 1 (ones)
Expanded form:
> 40,000,000,000 + 6,000,000,000 + 700,000,000 + 40,000,000 + 8,000,000 + 30,000 + 6,000 + 500 + 20 + 1
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6) 9,654,231,738
Break it down:
- 9 → 9,000,000,000 (billions)
- 6 → 600,000,000 (hundred millions)
- 5 → 50,000,000 (ten millions)
- 4 → 4,000,000 (millions)
- 2 → 200,000 (hundred thousands)
- 3 → 30,000 (ten thousands)
- 1 → 1,000 (thousands)
- 7 → 700 (hundreds)
- 3 → 30 (tens)
- 8 → 8 (ones)
Expanded form:
> 9,000,000,000 + 600,000,000 + 50,000,000 + 4,000,000 + 200,000 + 30,000 + 1,000 + 700 + 30 + 8
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7) 760,397,418,235
Break it down:
- 7 → 700,000,000,000 (hundred billions)
- 6 → 60,000,000,000 (ten billions)
- 0 → 0 (billions)
- 3 → 300,000,000 (hundred millions)
- 9 → 90,000,000 (ten millions)
- 7 → 7,000,000 (millions)
- 4 → 400,000 (hundred thousands)
- 1 → 10,000 (ten thousands)
- 8 → 8,000 (thousands)
- 2 → 200 (hundreds)
- 3 → 30 (tens)
- 5 → 5 (ones)
Expanded form:
> 700,000,000,000 + 60,000,000,000 + 300,000,000 + 90,000,000 + 7,000,000 + 400,000 + 10,000 + 8,000 + 200 + 30 + 5
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✔ Final Answers:
1) 800,000,000,000 + 50,000,000,000 + 3,000,000,000 + 200,000,000 + 10,000,000 + 4,000,000 + 900,000 + 60,000 + 7,000 + 300 + 20 + 5
2) 10,000,000,000 + 9,000,000,000 + 300,000,000 + 70,000,000 + 1,000,000 + 200,000 + 60,000 + 8,000 + 500 + 40 + 3
3) 500,000,000,000 + 7,000,000,000 + 800,000,000 + 30,000,000 + 1,000,000 + 600,000 + 40,000 + 2,000 + 900 + 7
4) 2,000,000,000 + 80,000,000 + 3,000,000 + 400,000 + 50,000 + 7,000 + 100 + 40 + 6
5) 40,000,000,000 + 6,000,000,000 + 700,000,000 + 40,000,000 + 8,000,000 + 30,000 + 6,000 + 500 + 20 + 1
6) 9,000,000,000 + 600,000,000 + 50,000,000 + 4,000,000 + 200,000 + 30,000 + 1,000 + 700 + 30 + 8
7) 700,000,000,000 + 60,000,000,000 + 300,000,000 + 90,000,000 + 7,000,000 + 400,000 + 10,000 + 8,000 + 200 + 30 + 5
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Parent Tip: Review the logic above to help your child master the concept of place value worksheet to billions.