Let's solve the
Scientific Notation Worksheet step by step.
---
Part 1: Convert to Scientific Notation
Scientific notation format:
$$
a \times 10^n
$$
where $1 \leq a < 10$ and $n$ is an integer.
---
1) 923
Move decimal point 2 places left:
$$
9.23 \times 10^2
$$
2) 0.00425
Move decimal point 3 places right:
$$
4.25 \times 10^{-3}
$$
3) 4523000
Move decimal point 6 places left:
$$
4.523 \times 10^6
$$
4) 0.94300
Move decimal point 1 place right:
$$
9.43 \times 10^{-1}
$$
*(Note: Trailing zeros after decimal are significant, but in scientific notation, we only keep necessary digits unless specified. So 0.94300 → 9.43 × 10⁻¹)*
5) 6750.
Move decimal point 3 places left:
$$
6.75 \times 10^3
$$
6) 92.03
Move decimal point 1 place left:
$$
9.203 \times 10^1
$$
7) 7.80
Already between 1 and 10 →
$$
7.80 \times 10^0
$$
*(But usually written as just 7.80, but since it's asked for scientific notation, we write it with exponent 0.)*
8) 0.00000032
Move decimal point 7 places right:
$$
3.2 \times 10^{-7}
$$
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Part 2: Convert to Standard Notation
Now convert from scientific notation to standard (decimal) form.
9) $3.92400 \times 10^5$
Move decimal 5 places right:
$$
392,400
$$
*(Note: The trailing zeros in 3.92400 are significant, so include them in answer → 392,400)*
10) $9.2 \times 10^4$
Move decimal 4 places right:
$$
92,000
$$
11) $4.391 \times 10^3$
Move decimal 3 places right:
$$
4,391
$$
12) $6.825 \times 10^{-4}$
Move decimal 4 places left:
$$
0.0006825
$$
13) $4.6978 \times 10^4$
Move decimal 4 places right:
$$
46,978
$$
14) $8.36 \times 10^1$
Move decimal 1 place right:
$$
83.6
$$
15) $2.46 \times 10^5$
Move decimal 5 places right:
$$
246,000
$$
16) $8.8 \times 10^2$
Move decimal 2 places right:
$$
880
$$
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✔ Final Answers:
####
Convert to Scientific Notation:
1) $9.23 \times 10^2$
2) $4.25 \times 10^{-3}$
3) $4.523 \times 10^6$
4) $9.43 \times 10^{-1}$
5) $6.75 \times 10^3$
6) $9.203 \times 10^1$
7) $7.80 \times 10^0$
8) $3.2 \times 10^{-7}$
####
Convert to Standard Notation:
9) 392,400
10) 92,000
11) 4,391
12) 0.0006825
13) 46,978
14) 83.6
15) 246,000
16) 880
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Parent Tip: Review the logic above to help your child master the concept of chemistry scientific notation worksheet.
