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Printable worksheet for practicing scientific notation conversion.

Scientific notation worksheet with examples and 14 problems for converting numbers into scientific notation.

Scientific notation worksheet with examples and 14 problems for converting numbers into scientific notation.

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Show Answer Key & Explanations Step-by-step solution for: Concept 18: Exponents & Scientific Notation
Let's solve each problem step by step and express each number in 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:
- $1 \leq a < 10$ (a number between 1 and 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.

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We’ll go through each number:

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1) 562

Move the decimal point 2 places to the left:
562 → 5.62
So, $562 = 5.62 \times 10^2$

Answer: $5.62 \times 10^2$

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2) 4,216

Move decimal 3 places left:
4,216 → 4.216
So, $4,216 = 4.216 \times 10^3$

Answer: $4.216 \times 10^3$

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3) 49,603

Move decimal 4 places left:
49,603 → 4.9603
So, $49,603 = 4.9603 \times 10^4$

Answer: $4.9603 \times 10^4$

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4) 25

Move decimal 1 place left:
25 → 2.5
So, $25 = 2.5 \times 10^1$

Answer: $2.5 \times 10^1$

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5) 128,569

Move decimal 5 places left:
128,569 → 1.28569
So, $128,569 = 1.28569 \times 10^5$

Answer: $1.28569 \times 10^5$

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6) 836

Move decimal 2 places left:
836 → 8.36
So, $836 = 8.36 \times 10^2$

Answer: $8.36 \times 10^2$

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7) 9,364

Move decimal 3 places left:
9,364 → 9.364
So, $9,364 = 9.364 \times 10^3$

Answer: $9.364 \times 10^3$

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8) 34,121

Move decimal 4 places left:
34,121 → 3.4121
So, $34,121 = 3.4121 \times 10^4$

Answer: $3.4121 \times 10^4$

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9) 22

Move decimal 1 place left:
22 → 2.2
So, $22 = 2.2 \times 10^1$

Answer: $2.2 \times 10^1$

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10) 912

Move decimal 2 places left:
912 → 9.12
So, $912 = 9.12 \times 10^2$

Answer: $9.12 \times 10^2$

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11) 7,350

Move decimal 3 places left:
7,350 → 7.35
So, $7,350 = 7.35 \times 10^3$

Answer: $7.35 \times 10^3$

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12) 4,874

Move decimal 3 places left:
4,874 → 4.874
So, $4,874 = 4.874 \times 10^3$

Answer: $4.874 \times 10^3$

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13) 80,256

Move decimal 4 places left:
80,256 → 8.0256
So, $80,256 = 8.0256 \times 10^4$

Answer: $8.0256 \times 10^4$

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14) 13,058

Move decimal 4 places left:
13,058 → 1.3058
So, $13,058 = 1.3058 \times 10^4$

Answer: $1.3058 \times 10^4$

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Final Answers:



| Number | Scientific Notation |
|-------|---------------------|
| 1) 562 | $5.62 \times 10^2$ |
| 2) 4,216 | $4.216 \times 10^3$ |
| 3) 49,603 | $4.9603 \times 10^4$ |
| 4) 25 | $2.5 \times 10^1$ |
| 5) 128,569 | $1.28569 \times 10^5$ |
| 6) 836 | $8.36 \times 10^2$ |
| 7) 9,364 | $9.364 \times 10^3$ |
| 8) 34,121 | $3.4121 \times 10^4$ |
| 9) 22 | $2.2 \times 10^1$ |
| 10) 912 | $9.12 \times 10^2$ |
| 11) 7,350 | $7.35 \times 10^3$ |
| 12) 4,874 | $4.874 \times 10^3$ |
| 13) 80,256 | $8.0256 \times 10^4$ |
| 14) 13,058 | $1.3058 \times 10^4$ |

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