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Write the Numbers in Standard Form - Math worksheet for converting expanded form to standard form.

Worksheet for writing numbers in standard form with expanded notation exercises.

Worksheet for writing numbers in standard form with expanded notation exercises.

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Show Answer Key & Explanations Step-by-step solution for: Place Value Worksheets | Place Value Worksheets for Practice

Problem Explanation:


The task requires converting expanded form numbers into standard form. In expanded form, a number is written as the sum of its place values (e.g., \(500,000,000 + 30,000 + 200 + 6\) represents the number 500,000,030,206). The goal is to add up all the components to get the standard form of the number.

Solution Approach:


1. Identify each component in the expanded form.
2. Add all the components together.
3. Write the result in standard form.

Step-by-Step Solutions:



#### Problem 1:
\[ 500,000,000,000 + 80,000,000,000 + 500,000,000 + 40,000,000 + 2,000,000 + 300,000 + 90,000 + 6,000 + 300 + 9 \]

- Break it down:
- \(500,000,000,000\): 500 billion
- \(80,000,000,000\): 80 billion
- \(500,000,000\): 500 million
- \(40,000,000\): 40 million
- \(2,000,000\): 2 million
- \(300,000\): 300 thousand
- \(90,000\): 90 thousand
- \(6,000\): 6 thousand
- \(300\): 3 hundred
- \(9\): 9

- Add them together:
\[
500,000,000,000 + 80,000,000,000 + 500,000,000 + 40,000,000 + 2,000,000 + 300,000 + 90,000 + 6,000 + 300 + 9 = 580,542,396,309
\]

Standard Form: \( \boxed{580,542,396,309} \)

#### Problem 2:
\[ 900,000,000,000 + 30,000,000,000 + 2,000,000,000 + 600,000,000 + 30,000,000 + 4,000,000 + 300,000 + 80,000 + 7,000 + 600 + 50 + 9 \]

- Break it down:
- \(900,000,000,000\): 900 billion
- \(30,000,000,000\): 30 billion
- \(2,000,000,000\): 2 billion
- \(600,000,000\): 600 million
- \(30,000,000\): 30 million
- \(4,000,000\): 4 million
- \(300,000\): 300 thousand
- \(80,000\): 80 thousand
- \(7,000\): 7 thousand
- \(600\): 6 hundred
- \(50\): 50
- \(9\): 9

- Add them together:
\[
900,000,000,000 + 30,000,000,000 + 2,000,000,000 + 600,000,000 + 30,000,000 + 4,000,000 + 300,000 + 80,000 + 7,000 + 600 + 50 + 9 = 932,634,387,659
\]

Standard Form: \( \boxed{932,634,387,659} \)

#### Problem 3:
\[ 300,000,000,000 + 50,000,000,000 + 5,000,000,000 + 800,000,000 + 20,000,000 + 2,000,000 + 400,000 + 70,000 + 7,000 + 800 + 20 + 6 \]

- Break it down:
- \(300,000,000,000\): 300 billion
- \(50,000,000,000\): 50 billion
- \(5,000,000,000\): 5 billion
- \(800,000,000\): 800 million
- \(20,000,000\): 20 million
- \(2,000,000\): 2 million
- \(400,000\): 400 thousand
- \(70,000\): 70 thousand
- \(7,000\): 7 thousand
- \(800\): 8 hundred
- \(20\): 20
- \(6\): 6

- Add them together:
\[
300,000,000,000 + 50,000,000,000 + 5,000,000,000 + 800,000,000 + 20,000,000 + 2,000,000 + 400,000 + 70,000 + 7,000 + 800 + 20 + 6 = 355,822,477,826
\]

Standard Form: \( \boxed{355,822,477,826} \)

#### Problem 4:
\[ 700,000,000,000 + 50,000,000,000 + 5,000,000,000 + 200,000,000 + 70,000,000 + 4,000,000 + 600,000 + 70,000 + 8,000 + 400 + 60 + 4 \]

- Break it down:
- \(700,000,000,000\): 700 billion
- \(50,000,000,000\): 50 billion
- \(5,000,000,000\): 5 billion
- \(200,000,000\): 200 million
- \(70,000,000\): 70 million
- \(4,000,000\): 4 million
- \(600,000\): 600 thousand
- \(70,000\): 70 thousand
- \(8,000\): 8 thousand
- \(400\): 4 hundred
- \(60\): 60
- \(4\): 4

- Add them together:
\[
700,000,000,000 + 50,000,000,000 + 5,000,000,000 + 200,000,000 + 70,000,000 + 4,000,000 + 600,000 + 70,000 + 8,000 + 400 + 60 + 4 = 755,274,678,464
\]

Standard Form: \( \boxed{755,274,678,464} \)

#### Problem 5:
\[ 70,000,000 + 4,000,000 + 600,000 + 70,000 + 8,000 + 400 + 60 + 4 \]

- Break it down:
- \(70,000,000\): 70 million
- \(4,000,000\): 4 million
- \(600,000\): 600 thousand
- \(70,000\): 70 thousand
- \(8,000\): 8 thousand
- \(400\): 4 hundred
- \(60\): 60
- \(4\): 4

- Add them together:
\[
70,000,000 + 4,000,000 + 600,000 + 70,000 + 8,000 + 400 + 60 + 4 = 74,678,464
\]

Standard Form: \( \boxed{74,678,464} \)

#### Problem 6:
\[ 800,000,000,000 + 50,000,000,000 + 8,000,000,000 + 100,000,000 + 50,000,000 + 5,000,000 + 50,000 + 70,000 + 7,000 + 200 + 50 + 4 \]

- Break it down:
- \(800,000,000,000\): 800 billion
- \(50,000,000,000\): 50 billion
- \(8,000,000,000\): 8 billion
- \(100,000,000\): 100 million
- \(50,000,000\): 50 million
- \(5,000,000\): 5 million
- \(50,000\): 50 thousand
- \(70,000\): 70 thousand
- \(7,000\): 7 thousand
- \(200\): 2 hundred
- \(50\): 50
- \(4\): 4

- Add them together:
\[
800,000,000,000 + 50,000,000,000 + 8,000,000,000 + 100,000,000 + 50,000,000 + 5,000,000 + 50,000 + 70,000 + 7,000 + 200 + 50 + 4 = 858,155,077,254
\]

Standard Form: \( \boxed{858,155,077,254} \)

#### Problem 7:
\[ 90,000,000,000 + 80,000,000,000 + 1,000,000,000 + 100,000,000 + 50,000,000 + 5,000,000 + 500,000 + 40,000 + 30,000 + 400 + 50 + 4 \]

- Break it down:
- \(90,000,000,000\): 90 billion
- \(80,000,000,000\): 80 billion
- \(1,000,000,000\): 1 billion
- \(100,000,000\): 100 million
- \(50,000,000\): 50 million
- \(5,000,000\): 5 million
- \(500,000\): 500 thousand
- \(40,000\): 40 thousand
- \(30,000\): 30 thousand
- \(400\): 4 hundred
- \(50\): 50
- \(4\): 4

- Add them together:
\[
90,000,000,000 + 80,000,000,000 + 1,000,000,000 + 100,000,000 + 50,000,000 + 5,000,000 + 500,000 + 40,000 + 30,000 + 400 + 50 + 4 = 171,155,570,454
\]

Standard Form: \( \boxed{171,155,570,454} \)

#### Problem 8:
\[ 50,000,000 + 1,000,000 + 300,000 + 80,000 + 4,000 + 500 + 60 + 9 \]

- Break it down:
- \(50,000,000\): 50 million
- \(1,000,000\): 1 million
- \(300,000\): 300 thousand
- \(80,000\): 80 thousand
- \(4,000\): 4 thousand
- \(500\): 5 hundred
- \(60\): 60
- \(9\): 9

- Add them together:
\[
50,000,000 + 1,000,000 + 300,000 + 80,000 + 4,000 + 500 + 60 + 9 = 51,384,569
\]

Standard Form: \( \boxed{51,384,569} \)

#### Problem 9:
\[ 500,000,000,000 + 80,000,000,000 + 9,000,000,000 + 900,000,000 + 50,000,000 + 4,000,000 + 400,000 + 500 + 60 + 9 \]

- Break it down:
- \(500,000,000,000\): 500 billion
- \(80,000,000,000\): 80 billion
- \(9,000,000,000\): 9 billion
- \(900,000,000\): 900 million
- \(50,000,000\): 50 million
- \(4,000,000\): 4 million
- \(400,000\): 400 thousand
- \(500\): 5 hundred
- \(60\): 60
- \(9\): 9

- Add them together:
\[
500,000,000,000 + 80,000,000,000 + 9,000,000,000 + 900,000,000 + 50,000,000 + 4,000,000 + 400,000 + 500 + 60 + 9 = 589,954,400,569
\]

Standard Form: \( \boxed{589,954,400,569} \)

#### Problem 10:
\[ 50,000,000 + 1,000,000 + 300,000 + 80,000 + 4,000 + 500 + 60 + 9 \]

- Break it down:
- \(50,000,000\): 50 million
- \(1,000,000\): 1 million
- \(300,000\): 300 thousand
- \(80,000\): 80 thousand
- \(4,000\): 4 thousand
- \(500\): 5 hundred
- \(60\): 60
- \(9\): 9

- Add them together:
\[
50,000,000 + 1,000,000 + 300,000 + 80,000 + 4,000 + 500 + 60 + 9 = 51,384,569
\]

Standard Form: \( \boxed{51,384,569} \)

#### Problem 11:
\[ 900,000,000,000 + 60,000,000,000 + 9,000,000,000 + 900,000,000 + 200,000,000 + 60,000,000 + 4,000,000 + 400,000 + 30,000 + 20 + 8 \]

- Break it down:
- \(900,000,000,000\): 900 billion
- \(60,000,000,000\): 60 billion
- \(9,000,000,000\): 9 billion
- \(900,000,000\): 900 million
- \(200,000,000\): 200 million
- \(60,000,000\): 60 million
- \(4,000,000\): 4 million
- \(400,000\): 400 thousand
- \(30,000\): 30 thousand
- \(20\): 20
- \(8\): 8

- Add them together:
\[
900,000,000,000 + 60,000,000,000 + 9,000,000,000 + 900,000,000 + 200,000,000 + 60,000,000 + 4,000,000 + 400,000 + 30,000 + 20 + 8 = 969,264,430,028
\]

Standard Form: \( \boxed{969,264,430,028} \)

#### Problem 12:
\[ 70,000,000 + 1,000,000 + 600,000 + 10,000 + 3,000 + 100 + 60 + 3 \]

- Break it down:
- \(70,000,000\): 70 million
- \(1,000,000\): 1 million
- \(600,000\): 600 thousand
- \(10,000\): 10 thousand
- \(3,000\): 3 thousand
- \(100\): 1 hundred
- \(60\): 60
- \(3\): 3

- Add them together:
\[
70,000,000 + 1,000,000 + 600,000 + 10,000 + 3,000 + 100 + 60 + 3 = 71,613,163
\]

Standard Form: \( \boxed{71,613,163} \)

#### Problem 13:
\[ 900,000,000,000 + 70,000,000,000 + 1,000,000,000 + 700,000,000 + 60,000,000 + 4,000,000 + 900,000 + 70,000 + 6,000 + 60 + 4 \]

- Break it down:
- \(900,000,000,000\): 900 billion
- \(70,000,000,000\): 70 billion
- \(1,000,000,000\): 1 billion
- \(700,000,000\): 700 million
- \(60,000,000\): 60 million
- \(4,000,000\): 4 million
- \(900,000\): 900 thousand
- \(70,000\): 70 thousand
- \(6,000\): 6 thousand
- \(60\): 60
- \(4\): 4

- Add them together:
\[
900,000,000,000 + 70,000,000,000 + 1,000,000,000 + 700,000,000 + 60,000,000 + 4,000,000 + 900,000 + 70,000 + 6,000 + 60 + 4 = 971,764,976,064
\]

Standard Form: \( \boxed{971,764,976,064} \)

#### Problem 14:
\[ 60,000,000,000 + 4,000,000,000 + 900,000,000 + 60,000,000 + 7,000,000 + 600,000 + 60 + 4 \]

- Break it down:
- \(60,000,000,000\): 60 billion
- \(4,000,000,000\): 4 billion
- \(900,000,000\): 900 million
- \(60,000,000\): 60 million
- \(7,000,000\): 7 million
- \(600,000\): 600 thousand
- \(60\): 60
- \(4\): 4

- Add them together:
\[
60,000,000,000 + 4,000,000,000 + 900,000,000 + 60,000,000 + 7,000,000 + 600,000 + 60 + 4 = 64,967,600,064
\]

Standard Form: \( \boxed{64,967,600,064} \)

#### Problem 15:
\[ 700,000,000,000 + 50,000,000,000 + 7,000,000,000 + 800,000,000 + 10,000,000 + 1,000,000 + 900,000 + 70,000 + 6,000 + 300 + 10 + 4 \]

- Break it down:
- \(700,000,000,000\): 700 billion
- \(50,000,000,000\): 50 billion
- \(7,000,000,000\): 7 billion
- \(800,000,000\): 800 million
- \(10,000,000\): 10 million
- \(1,000,000\): 1 million
- \(900,000\): 900 thousand
- \(70,000\): 70 thousand
- \(6,000\): 6 thousand
- \(300\): 3 hundred
- \(10\): 10
- \(4\): 4

- Add them together:
\[
700,000,000,000 + 50,000,000,000 + 7,000,000,000 + 800,000,000 + 10,000,000 + 1,000,000 + 900,000 + 70,000 + 6,000 + 300 + 10 + 4 = 757,811,976,314
\]

Standard Form: \( \boxed{757,811,976,314} \)

Final Answers:


1. \( \boxed{580,542,396,309} \)
2. \( \boxed{932,634,387,659} \)
3. \( \boxed{355,822,477,826} \)
4. \( \boxed{755,274,678,464} \)
5. \( \boxed{74,678,464} \)
6. \( \boxed{858,155,077,254} \)
7. \( \boxed{171,155,570,454} \)
8. \( \boxed{51,384,569} \)
9. \( \boxed{589,954,400,569} \)
10. \( \boxed{51,384,569} \)
11. \( \boxed{969,264,430,028} \)
12. \( \boxed{71,613,163} \)
13. \( \boxed{971,764,976,064} \)
14. \( \boxed{64,967,600,064} \)
15. \( \boxed{757,811,976,314} \)
Parent Tip: Review the logic above to help your child master the concept of place value worksheet to billions.
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