Scientific notation worksheet with exercises to convert numbers to standard and scientific notation.

Let's solve each problem step by step.

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Part 1: Write each number in standard format.

We convert scientific notation to standard form by moving the decimal point according to the exponent of 10.

1) $ 7.42 \times 10^2 = 7.42 \times 100 = 742 $

2) $ 4.3347 \times 10^4 = 4.3347 \times 10,000 = 43,347 $

3) $ 1.68 \times 10^7 = 1.68 \times 10,000,000 = 16,800,000 $

4) $ 9.087 \times 10^5 = 9.087 \times 100,000 = 908,700 $

5) $ 9.1814 \times 10^3 = 9.1814 \times 1,000 = 9,181.4 $

6) $ 4.3196 \times 10^3 = 4.3196 \times 1,000 = 4,319.6 $

7) $ 1.586 \times 10^4 = 1.586 \times 10,000 = 15,860 $

8) $ 8.93 \times 10^1 = 8.93 \times 10 = 89.3 $

9) $ 1.929 \times 10^8 = 1.929 \times 100,000,000 = 192,900,000 $

10) $ 6.482 \times 10^2 = 6.482 \times 100 = 648.2 $

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Part 2: Write each number in scientific notation.

To write a number in scientific notation:
- Move the decimal point so that there is only one non-zero digit to the left of the decimal.
- Count how many places you moved the decimal — that’s the exponent of 10.
- If you moved left → positive exponent; if right → negative exponent.

11) $ 234,550 $
- Move decimal 5 places left: $ 2.3455 \times 10^5 $

12) $ 660,7900 $ → Wait, this seems like a typo. Likely meant to be 6,607,900
- Move decimal 6 places left: $ 6.6079 \times 10^6 $

13) $ 42,800,000 $
- Move decimal 7 places left: $ 4.28 \times 10^7 $

14) $ 60.2 $
- Move decimal 1 place left: $ 6.02 \times 10^1 $

15) $ 4,049,000,000 $
- Move decimal 9 places left: $ 4.049 \times 10^9 $

16) $ 56,100,000,000 $
- Move decimal 10 places left: $ 5.61 \times 10^{10} $

17) $ 53,200 $
- Move decimal 4 places left: $ 5.32 \times 10^4 $

18) $ 8,022,900 $
- Move decimal 6 places left: $ 8.0229 \times 10^6 $

19) $ 606,300 $
- Move decimal 5 places left: $ 6.063 \times 10^5 $

20) $ 297,500,000 $
- Move decimal 8 places left: $ 2.975 \times 10^8 $

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✔ Final Answers:

#### Part 1: Standard Format
1) 742
2) 43,347
3) 16,800,000
4) 908,700
5) 9,181.4
6) 4,319.6
7) 15,860
8) 89.3
9) 192,900,000
10) 648.2

#### Part 2: Scientific Notation
11) $ 2.3455 \times 10^5 $
12) $ 6.6079 \times 10^6 $ *(assuming 6,607,900)*
13) $ 4.28 \times 10^7 $
14) $ 6.02 \times 10^1 $
15) $ 4.049 \times 10^9 $
16) $ 5.61 \times 10^{10} $
17) $ 5.32 \times 10^4 $
18) $ 8.0229 \times 10^6 $
19) $ 6.063 \times 10^5 $
20) $ 2.975 \times 10^8 $

> ⚠️ Note: Problem #12 has a formatting issue ("6607900" — possibly missing a comma). I assumed it was 6,607,900, which is common in such problems.

Let me know if you'd like this formatted as a printable answer sheet!