Write in Scientific Notation Worksheet for 8th - 10th Grade ... - Free Printable

It looks like you've uploaded an image containing a worksheet with scientific notation problems. The task is to convert the given numbers into scientific notation (or verify the provided scientific notation). Let's go through each line and check or solve the conversions.

---

🔢 Problem: Convert the following numbers into scientific notation.

We'll evaluate each one step by step.

---

1. 0.00029

- Move decimal point 4 places to the right → 2.9
- So, $ 0.00029 = 2.9 \times 10^{-4} $
✔ Correct

---

2. 7847

- Move decimal point 3 places to the left → 7.847
- So, $ 7847 = 7.847 \times 10^3 $
✔ Correct

---

3. 50000

- Move decimal point 4 places to the left → 5.0
- So, $ 50000 = 5.0 \times 10^4 $
✔ Correct

---

4. 0.006 × 10⁻⁴

Wait — this is already in a form with scientific notation, but let’s simplify:

- $ 0.006 \times 10^{-4} = 6 \times 10^{-3} \times 10^{-4} = 6 \times 10^{-7} $
- But the answer given is $ 6.0 \times 10^{-5} $ → ✘ Incorrect

Let’s double-check:
- $ 0.006 = 6 \times 10^{-3} $
- Then $ 6 \times 10^{-3} \times 10^{-4} = 6 \times 10^{-7} $

So correct answer should be:
✘ $ 0.006 \times 10^{-4} = 6.0 \times 10^{-7} $

But the worksheet says: $ 6.0 \times 10^{-5} $ → This is wrong.

---

5. 807600

- Move decimal 5 places left → 8.076
- So, $ 807600 = 8.076 \times 10^5 $
But the answer given is $ 7.68 \times 10^{-1} $ → ✘ Wrong

That’s way off. $ 7.68 \times 10^{-1} = 0.768 $, not 807600.

✔ Correct: $ 8.076 \times 10^5 $

---

6. 927000

- Move decimal 5 places left → 9.27
- So, $ 927000 = 9.27 \times 10^5 $
Given: $ 9.27 \times 10^5 $ → ✔ Correct

---

7. 35 × 10⁵

This is not in proper scientific notation because the coefficient (35) is ≥ 10.

- $ 35 \times 10^5 = 3.5 \times 10^1 \times 10^5 = 3.5 \times 10^6 $
- Given: $ 3.5 \times 10^6 $ → ✔ Correct

---

8. 0.5

- $ 0.5 = 5 \times 10^{-1} $
- Given: $ 5.0 \times 10^{-1} $ → ✔ Correct

---

9. 6

- $ 6 = 6.0 \times 10^0 $
- Given: $ 6.0 \times 10^0 $ → ✔ Correct

---

10. 300000000

- Move decimal 8 places left → 3.0
- So, $ 300000000 = 3.0 \times 10^8 $
- Given: $ 3.0 \times 10^8 $ → ✔ Correct

---

✔ Summary of Corrections:

| Number | Given Answer | Correct Answer | Status |
|-------|--------------|----------------|--------|
| 0.00029 | $ 2.9 \times 10^{-4} $ | ✔️ Correct |
| 7847 | $ 7.847 \times 10^3 $ | ✔️ Correct |
| 50000 | $ 5.0 \times 10^4 $ | ✔️ Correct |
| 0.006 × 10⁻⁴ | $ 6.0 \times 10^{-5} $ | ✘ Should be $ 6.0 \times 10^{-7} $ |
| 807600 | $ 7.68 \times 10^{-1} $ | ✘ Should be $ 8.076 \times 10^5 $ |
| 927000 | $ 9.27 \times 10^5 $ | ✔️ Correct |
| 35 × 10⁵ | $ 3.5 \times 10^6 $ | ✔️ Correct |
| 0.5 | $ 5.0 \times 10^{-1} $ | ✔️ Correct |
| 6 | $ 6.0 \times 10^0 $ | ✔️ Correct |
| 300000000 | $ 3.0 \times 10^8 $ | ✔️ Correct |

---

🛠️ Final Answer:

The only incorrect answers are:

- Line 4: $ 0.006 \times 10^{-4} = 6.0 \times 10^{-7} $ (not $ 10^{-5} $)
- Line 5: $ 807600 = 8.076 \times 10^5 $ (not $ 7.68 \times 10^{-1} $)

All others are correct.

Let me know if you'd like a corrected version of the worksheet!