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) 3,400
Move decimal point 3 places left:
$$
3.4 \times 10^3
$$
2) 0.000023
Move decimal point 5 places right:
$$
2.3 \times 10^{-5}
$$
3) 101,000
Move decimal point 5 places left:
$$
1.01 \times 10^5
$$
4) 0.010
Move decimal point 2 places right:
$$
1.0 \times 10^{-2}
$$
5) 45.01
Move decimal point 1 place left:
$$
4.501 \times 10^1
$$
6) 1,000,000
Move decimal point 6 places left:
$$
1 \times 10^6
$$
7) 0.00671
Move decimal point 3 places right:
$$
6.71 \times 10^{-3}
$$
8) 4.50
Already in scientific notation (since $1 \leq 4.50 < 10$):
$$
4.50 \times 10^0
$$
---
Part 2: Convert to Standard Notation
We reverse the process — use the exponent to move the decimal.
9) $2.30 \times 10^4$
Move decimal 4 places right:
$$
23,000
$$
10) $1.76 \times 10^{-3}$
Move decimal 3 places left:
$$
0.00176
$$
11) $1.901 \times 10^{-7}$
Move decimal 7 places left:
$$
0.0000001901
$$
12) $8.65 \times 10^1$
Move decimal 1 place right:
$$
86.5
$$
13) $9.11 \times 10^3$
Move decimal 3 places right:
$$
9,110
$$
14) $5.40 \times 10^1$
Move decimal 1 place right:
$$
54.0
$$
15) $1.76 \times 10^0$
Any number × $10^0 = 1$, so:
$$
1.76
$$
16) $7.4 \times 10^{-5}$
Move decimal 5 places left:
$$
0.000074
$$
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✔ Final Answers:
####
Convert to Scientific Notation:
1) $3.4 \times 10^3$
2) $2.3 \times 10^{-5}$
3) $1.01 \times 10^5$
4) $1.0 \times 10^{-2}$
5) $4.501 \times 10^1$
6) $1 \times 10^6$
7) $6.71 \times 10^{-3}$
8) $4.50 \times 10^0$
####
Convert to Standard Notation:
9) 23,000
10) 0.00176
11) 0.0000001901
12) 86.5
13) 9,110
14) 54.0
15) 1.76
16) 0.000074
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Parent Tip: Review the logic above to help your child master the concept of scientific notation worksheet pdf.
