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Converting Scientific Notation to Ordinary Numbers (A) - Free Printable

Converting Scientific Notation to Ordinary Numbers (A)

Educational worksheet: Converting Scientific Notation to Ordinary Numbers (A). Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Converting Scientific Notation to Ordinary Numbers (A)
Let’s solve each problem step by step.

Scientific notation means a number like:
a × 10ⁿ, where a is a decimal between 1 and 10, and n is an integer (positive or negative).

To convert to ordinary number:
- If the exponent n is positive, move the decimal point in a to the right n places.
- If the exponent n is negative, move the decimal point in a to the left |n| places.
- Add zeros as needed when moving the decimal.

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Let’s go one by one:

Left Column:



1. 2.181 × 10⁷ → Move decimal 7 places right → 21,810,000
2. 1.373 × 10⁵ → Move decimal 5 places right → 137,300
3. 3.84 × 10⁻⁸ → Move decimal 8 places left → 0.0000000384
4. 9.174 × 10⁵ → Move decimal 5 places right → 917,400
5. 5.9 × 10⁷ → Move decimal 7 places right → 59,000,000
6. 7.39 × 10⁻⁹ → Move decimal 9 places left → 0.00000000739
7. 3.04 × 10⁻⁵ → Move decimal 5 places left → 0.0000304
8. 5.418 × 10³ → Move decimal 3 places right → 5,418
9. 3.855 × 10⁻⁷ → Move decimal 7 places left → 0.0000003855
10. 4.689 × 10⁻⁴ → Move decimal 4 places left → 0.0004689

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Right Column:



1. 3.98 × 10⁻⁷ → Move decimal 7 places left → 0.000000398
2. 9.23 × 10⁵ → Move decimal 5 places right → 923,000
3. 1.95 × 10⁷ → Move decimal 7 places right → 19,500,000
4. 2.199 × 10⁸ → Move decimal 8 places right → 219,900,000
5. 6.92 × 10⁻⁶ → Move decimal 6 places left → 0.00000692
6. 6.06 × 10⁶ → Move decimal 6 places right → 6,060,000
7. 4.25 × 10⁶ → Move decimal 6 places right → 4,250,000
8. 3 × 10⁷ → Move decimal 7 places right → 30,000,000
9. 7.12 × 10⁸ → Move decimal 8 places right → 712,000,000
10. 8.39 × 10³ → Move decimal 3 places right → 8,390

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Double-checking a few tricky ones:

- 3.84 × 10⁻⁸ = 0.0000000384 → yes, 8 zeros after decimal before 384? Wait — let's count:
0.0000000384 → positions:
1st: 0
2nd: 0
3rd: 0
4th: 0
5th: 0
6th: 0
7th: 0
8th: 3 → so yes, correct.

- 7.39 × 10⁻⁹ → 0.00000000739 → 9 places: 8 zeros then 739 → correct.

- 3 × 10⁷ = 30,000,000 → yes, 7 zeros after 3.

All look good.

Final Answer:
21,810,000
137,300
0.0000000384
917,400
59,000,000
0.00000000739
0.0000304
5,418
0.0000003855
0.0004689
0.000000398
923,000
19,500,000
219,900,000
0.00000692
6,060,000
4,250,000
30,000,000
712,000,000
8,390
Parent Tip: Review the logic above to help your child master the concept of scientific notation to standard form worksheet.
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