Printable worksheet for practicing scientific notation, featuring exercises to convert numbers into scientific notation and standard form.

Let’s work through each problem step by step.

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Part 1: Express in scientific notation

Scientific notation means writing a number as:
a × 10ⁿ, where 1 ≤ a < 10, and n is an integer.

We move the decimal point so that only one non-zero digit is to the left of the decimal. The number of places we move the decimal becomes the exponent (positive if we moved left, negative if right).

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1) 872

Move decimal 2 places left → 8.72
→ 8.72 × 10²

2) 72,590

Move decimal 4 places left → 7.2590 → 7.259
→ 7.259 × 10⁴

3) 84,320

Move decimal 4 places left → 8.432
→ 8.432 × 10⁴

4) 105

Move decimal 2 places left → 1.05
→ 1.05 × 10²

5) 0.09105

Move decimal 2 places right → 9.105 → exponent is -2
→ 9.105 × 10⁻²

6) 0.00001276

Move decimal 5 places right → 1.276 → exponent is -5
→ 1.276 × 10⁻⁵

7) 110,000,000

Move decimal 8 places left → 1.1
→ 1.1 × 10⁸

8) 6,060,000

Move decimal 6 places left → 6.06
→ 6.06 × 10⁶

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Part 2: Express in standard form

This means converting from scientific notation back to regular numbers.

Multiply the number by 10 raised to the power — move the decimal point to the right if exponent is positive, left if negative.

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9) 8.39 × 10³

Move decimal 3 places right → 8390
→ 8,390

10) 5.418 × 10³

Move decimal 3 places right → 5418
→ 5,418

11) 1.373 × 10⁵

Move decimal 5 places right → 137,300
→ 137,300

12) 1.52 × 10⁻¹

Move decimal 1 place left → 0.152
→ 0.152

13) 8.0447 × 10⁴

Move decimal 4 places right → 80,447
→ 80,447

14) 5.962 × 10³

Move decimal 3 places right → 5,962
→ 5,962

15) 2.56 × 10⁶

Move decimal 6 places right → 2,560,000
→ 2,560,000

16) 6.6 × 10⁻⁵

Move decimal 5 places left → 0.000066
→ 0.000066

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Final Answer:
1) 8.72 × 10²
2) 7.259 × 10⁴
3) 8.432 × 10⁴
4) 1.05 × 10²
5) 9.105 × 10⁻²
6) 1.276 × 10⁻⁵
7) 1.1 × 10⁸
8) 6.06 × 10⁶
9) 8,390
10) 5,418
11) 137,300
12) 0.152
13) 80,447
14) 5,962
15) 2,560,000
16) 0.000066