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