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 pixelated, making it difficult to read all the numbers clearly.
But based on what I can discern from the visible content, here’s how to solve such problems and an explanation of
scientific notation:
---
🔢 Scientific Notation: What It Is
Scientific notation is a way of writing very large or very small numbers in a compact form:
> $$
> a \times 10^n
> $$
Where:
- $ a $ is a number between 1 and 10 (inclusive of 1, but not 10),
- $ n $ is an integer (positive for large numbers, negative for small ones).
---
✔ Steps to Convert a Number to Scientific Notation:
1. Move the decimal point so that there's only
one non-zero digit to the left.
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’s Visible:
Let’s go through some of the visible entries and correct them if needed.
#### 1. 450000
→ Move decimal 5 places left: $ 4.5 \times 10^5 $
✔ Correct!
#### 2. 780000
→ $ 7.8 \times 10^5 $
✔ Correct!
#### 3. 90
→ $ 9 \times 10^1 $
✔ Correct!
#### 4. 5600
→ $ 5.6 \times 10^3 $
✔ Correct!
#### 5. 87
→ $ 8.7 \times 10^1 $
✔ Correct!
#### 6. 500000
→ $ 5 \times 10^5 $
✔ Correct!
#### 7. 200000
→ $ 2 \times 10^5 $
✔ Correct!
#### 8. $ 7 \times 10^6 $
This is already in scientific notation.
✔ Correct!
#### 9. 4000
→ $ 4 \times 10^3 $
✔ Correct!
#### 10. 600000
→ $ 6 \times 10^5 $
✔ Correct!
#### 11. $ 8.2 \times 10^6 $
Already in scientific notation.
✔ Correct!
#### 12. $ 2.3 \times 10^{-3} $
Already in scientific notation.
✔ Correct!
#### 13. 0.000024
→ Move decimal 5 places right: $ 2.4 \times 10^{-5} $
✔ Correct!
#### 14. 0.0002
→ $ 2 \times 10^{-4} $
✔ Correct!
#### 15. $ 8.25 \times 10^{-3} $
Already in scientific notation.
✔ Correct!
#### 16. 0.05
→ $ 5 \times 10^{-2} $
✔ Correct!
---
❗ Potential Issues:
Some entries may have formatting issues or be misread due to blur. For example:
- If one says "0.000024" → should be $ 2.4 \times 10^{-5} $
- If it says "0.0002" → $ 2 \times 10^{-4} $
Also, make sure:
- The coefficient $ a $ is
between 1 and 10.
- The exponent reflects the number of decimal shifts.
---
✔ Final Tips:
- Always check that your coefficient is
≥1 and <10.
- Use
negative exponents for decimals less than 1.
- Use
positive exponents for large numbers.
---
If you can clarify any specific problem (e.g., #13 or #14), I’d be happy to double-check! But overall,
most answers appear correct based on what I can see.
Would you like me to generate a clean version of this worksheet with all answers?
Parent Tip: Review the logic above to help your child master the concept of algebra 1 scientific notation worksheet.
