Math worksheet for practicing converting numbers to scientific notation.
Worksheet titled "Writing in Scientific Notation" with math problems and answers in red.
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Show Answer Key & Explanations
Step-by-step solution for: SOLUTION: Writing scientific notation - Studypool
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Show Answer Key & Explanations
Step-by-step solution for: SOLUTION: Writing scientific notation - Studypool
It looks like you've uploaded a worksheet titled "Writing in Scientific Notation", where the task is to write each number in scientific notation. However, the image appears blurry or low-resolution, making it difficult to read all the numbers clearly.
But based on what I can discern from the visible parts of the worksheet, here's how to solve such problems and an explanation of scientific notation:
---
Scientific notation is a way to express very large or very small numbers in the form:
$$
a \times 10^n
$$
Where:
- $ a $ is a number between 1 and 10 (inclusive of 1, exclusive of 10),
- $ n $ is an integer (positive for large numbers, negative for small numbers).
---
1. Move the decimal point so that there’s only one non-zero digit to the left of the decimal.
2. Count how many places you moved the decimal:
- If you moved it left, the exponent is positive.
- If you moved it right, the exponent is negative.
3. Write the number as $ a \times 10^n $.
---
Let’s go through the ones I can read:
#### 1. 5,000,000
→ Move decimal 6 places left: $ 5 \times 10^6 $
#### 2. 700,000
→ $ 7 \times 10^5 $
#### 3. 90
→ $ 9 \times 10^1 $
#### 4. 8,000
→ $ 8 \times 10^3 $
#### 5. 67
→ $ 6.7 \times 10^1 $
#### 6. 0.000003
→ Move decimal 6 places right: $ 3 \times 10^{-6} $
#### 7. 200,000
→ $ 2 \times 10^5 $
#### 8. $ 7 \times 10^4 $ → Already in scientific notation.
#### 9. 4000
→ $ 4 \times 10^3 $
#### 10. 0.000009
→ $ 9 \times 10^{-6} $
#### 11. $ 6.2 \times 10^6 $ → Already correct.
#### 12. $ 2.3 \times 10^{-3} $ → Already correct.
#### 13. 0.000024
→ Move decimal 5 places right: $ 2.4 \times 10^{-5} $
#### 14. 0.0002
→ $ 2 \times 10^{-4} $
#### 15. $ 6.2 \times 10^{-3} $ → Already correct.
#### 16. 0.08
→ $ 8 \times 10^{-2} $
---
| Number | Scientific Notation |
|--------|---------------------|
| 5,000,000 | $ 5 \times 10^6 $ |
| 700,000 | $ 7 \times 10^5 $ |
| 90 | $ 9 \times 10^1 $ |
| 8,000 | $ 8 \times 10^3 $ |
| 67 | $ 6.7 \times 10^1 $ |
| 0.000003 | $ 3 \times 10^{-6} $ |
| 200,000 | $ 2 \times 10^5 $ |
| $ 7 \times 10^4 $ | Already correct |
| 4000 | $ 4 \times 10^3 $ |
| 0.000009 | $ 9 \times 10^{-6} $ |
| $ 6.2 \times 10^6 $ | Already correct |
| $ 2.3 \times 10^{-3} $ | Already correct |
| 0.000024 | $ 2.4 \times 10^{-5} $ |
| 0.0002 | $ 2 \times 10^{-4} $ |
| $ 6.2 \times 10^{-3} $ | Already correct |
| 0.08 | $ 8 \times 10^{-2} $ |
---
If some numbers are missing or unclear due to blurriness, please clarify them (e.g., "What is problem #11?"), and I’ll help you with exact conversions.
Would you like me to generate a clean version of this worksheet with answers?
But based on what I can discern from the visible parts of the worksheet, here's how to solve such problems and an explanation of scientific notation:
---
🔷 What is Scientific Notation?
Scientific notation is a way to express very large or very small numbers in the form:
$$
a \times 10^n
$$
Where:
- $ a $ is a number between 1 and 10 (inclusive of 1, exclusive of 10),
- $ n $ is an integer (positive for large numbers, negative for small numbers).
---
✔ Steps to Convert to Scientific Notation:
1. Move the decimal point so that there’s only one non-zero digit to the left of the decimal.
2. Count how many places you moved the decimal:
- If you moved it left, the exponent is positive.
- If you moved it right, the exponent is negative.
3. Write the number as $ a \times 10^n $.
---
📌 Examples Based on What I Can See:
Let’s go through the ones I can read:
#### 1. 5,000,000
→ Move decimal 6 places left: $ 5 \times 10^6 $
#### 2. 700,000
→ $ 7 \times 10^5 $
#### 3. 90
→ $ 9 \times 10^1 $
#### 4. 8,000
→ $ 8 \times 10^3 $
#### 5. 67
→ $ 6.7 \times 10^1 $
#### 6. 0.000003
→ Move decimal 6 places right: $ 3 \times 10^{-6} $
#### 7. 200,000
→ $ 2 \times 10^5 $
#### 8. $ 7 \times 10^4 $ → Already in scientific notation.
#### 9. 4000
→ $ 4 \times 10^3 $
#### 10. 0.000009
→ $ 9 \times 10^{-6} $
#### 11. $ 6.2 \times 10^6 $ → Already correct.
#### 12. $ 2.3 \times 10^{-3} $ → Already correct.
#### 13. 0.000024
→ Move decimal 5 places right: $ 2.4 \times 10^{-5} $
#### 14. 0.0002
→ $ 2 \times 10^{-4} $
#### 15. $ 6.2 \times 10^{-3} $ → Already correct.
#### 16. 0.08
→ $ 8 \times 10^{-2} $
---
✔ Final Answers (Based on Visible Numbers):
| Number | Scientific Notation |
|--------|---------------------|
| 5,000,000 | $ 5 \times 10^6 $ |
| 700,000 | $ 7 \times 10^5 $ |
| 90 | $ 9 \times 10^1 $ |
| 8,000 | $ 8 \times 10^3 $ |
| 67 | $ 6.7 \times 10^1 $ |
| 0.000003 | $ 3 \times 10^{-6} $ |
| 200,000 | $ 2 \times 10^5 $ |
| $ 7 \times 10^4 $ | Already correct |
| 4000 | $ 4 \times 10^3 $ |
| 0.000009 | $ 9 \times 10^{-6} $ |
| $ 6.2 \times 10^6 $ | Already correct |
| $ 2.3 \times 10^{-3} $ | Already correct |
| 0.000024 | $ 2.4 \times 10^{-5} $ |
| 0.0002 | $ 2 \times 10^{-4} $ |
| $ 6.2 \times 10^{-3} $ | Already correct |
| 0.08 | $ 8 \times 10^{-2} $ |
---
❗ Note:
If some numbers are missing or unclear due to blurriness, please clarify them (e.g., "What is problem #11?"), and I’ll help you with exact conversions.
Would you like me to generate a clean version of this worksheet with answers?
Parent Tip: Review the logic above to help your child master the concept of writing in scientific notation worksheet answers.