Let's convert each number from
standard notation to
scientific notation.
🔹 What is Scientific Notation?
Scientific notation is a way of writing very large or very small numbers in the form:
$$
a \times 10^n
$$
Where:
- $ a $ is a number between 1 and 10 (not including 10),
- $ n $ is an integer (positive or negative),
- The decimal point is moved so that only
one non-zero digit is to the left of the decimal.
---
We'll go through each number one by one.
---
✔ 1. 19,910
- Move decimal to get a number between 1 and 10:
$ 1.9910 $
- Count how many places we moved the decimal:
4 places to the left.
- So:
$$
19,910 = 1.991 \times 10^4
$$
---
✔ 2. 574.6
- Move decimal to get a number between 1 and 10:
$ 5.746 $
- Moved
2 places to the left.
- So:
$$
574.6 = 5.746 \times 10^2
$$
---
✔ 3. 1,998
- Move decimal: $ 1.998 $
- Moved
3 places to the left.
- So:
$$
1,998 = 1.998 \times 10^3
$$
---
✔ 4. 404.57
- Move decimal: $ 4.0457 $
- Moved
2 places to the left.
- So:
$$
404.57 = 4.0457 \times 10^2
$$
---
✔ 5. 4,921,000
- Move decimal: $ 4.921 $
- Moved
6 places to the left.
- So:
$$
4,921,000 = 4.921 \times 10^6
$$
---
✔ 6. 470,900
- Move decimal: $ 4.709 $
- Moved
5 places to the left.
- So:
$$
470,900 = 4.709 \times 10^5
$$
---
✔ 7. 695,300
- Move decimal: $ 6.953 $
- Moved
5 places to the left.
- So:
$$
695,300 = 6.953 \times 10^5
$$
---
✔ 8. 9550.3
- Move decimal: $ 9.5503 $
- Moved
3 places to the left.
- So:
$$
9550.3 = 9.5503 \times 10^3
$$
---
✔ 9. 129.10
- Move decimal: $ 1.2910 $
- Moved
2 places to the left.
- So:
$$
129.10 = 1.291 \times 10^2
$$
---
✔ 10. 707,320
- Move decimal: $ 7.0732 $
- Moved
5 places to the left.
- So:
$$
707,320 = 7.0732 \times 10^5
$$
---
✔ 11. 73.39
- Move decimal: $ 7.339 $
- Moved
1 place to the left.
- So:
$$
73.39 = 7.339 \times 10^1
$$
---
✔ 12. 6601.90
- Move decimal: $ 6.6019 $
- Moved
3 places to the left.
- So:
$$
6601.90 = 6.6019 \times 10^3
$$
---
✔ Final Answers:
| Standard Notation | Scientific Notation |
|-------------------|---------------------|
| 19,910 | $ 1.991 \times 10^4 $ |
| 574.6 | $ 5.746 \times 10^2 $ |
| 1,998 | $ 1.998 \times 10^3 $ |
| 404.57 | $ 4.0457 \times 10^2 $ |
| 4,921,000 | $ 4.921 \times 10^6 $ |
| 470,900 | $ 4.709 \times 10^5 $ |
| 695,300 | $ 6.953 \times 10^5 $ |
| 9550.3 | $ 9.5503 \times 10^3 $ |
| 129.10 | $ 1.291 \times 10^2 $ |
| 707,320 | $ 7.0732 \times 10^5 $ |
| 73.39 | $ 7.339 \times 10^1 $ |
| 6601.90 | $ 6.6019 \times 10^3 $ |
✔ All numbers are now in proper scientific notation!
Let me know if you'd like a printable version or explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of scientific notation practice.
