To solve this task, we need to convert each ordinary number into scientific notation. Scientific notation is a way of writing very large or very small numbers in a compact form. It always looks like this:
a × 10^b
Where:
-
a is a number between 1 and 10 (including 1 but not 10)
-
b is an integer (positive, negative, or zero)
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Let’s go step by step for each number:
Left Column:
1.
3,900
- Move decimal 3 places left → 3.9
- So:
3.9 × 10³
2.
0.0094
- Move decimal 3 places right → 9.4
- So:
9.4 × 10⁻³
3.
0.00945
- Move decimal 3 places right → 9.45
- So:
9.45 × 10⁻³
4.
9,400
- Move decimal 3 places left → 9.4
- So:
9.4 × 10³
5.
1,060,000
- Move decimal 6 places left → 1.06
- So:
1.06 × 10⁶
6.
5,729
- Move decimal 3 places left → 5.729
- So:
5.729 × 10³
7.
74,920
- Move decimal 4 places left → 7.492
- So:
7.492 × 10⁴
8.
0.0008
- Move decimal 4 places right → 8
- So:
8 × 10⁻⁴
9.
0.00064
- Move decimal 4 places right → 6.4
- So:
6.4 × 10⁻⁴
10.
0.000000026
- Move decimal 8 places right → 2.6
- So:
2.6 × 10⁻⁸
---
Right Column:
1.
0.000000038
- Move decimal 8 places right → 3.8
- So:
3.8 × 10⁻⁸
2.
0.0000032
- Move decimal 6 places right → 3.2
- So:
3.2 × 10⁻⁶
3.
61,490,000
- Move decimal 7 places left → 6.149
- So:
6.149 × 10⁷
4.
181,000,000
- Move decimal 8 places left → 1.81
- So:
1.81 × 10⁸
5.
5,800,000
- Move decimal 6 places left → 5.8
- So:
5.8 × 10⁶
6.
7,907,000
- Move decimal 6 places left → 7.907
- So:
7.907 × 10⁶
7.
63,000
- Move decimal 4 places left → 6.3
- So:
6.3 × 10⁴
8.
0.0000028
- Move decimal 6 places right → 2.8
- So:
2.8 × 10⁻⁶
9.
317,300,000
- Move decimal 8 places left → 3.173
- So:
3.173 × 10⁸
10.
0.000054
- Move decimal 5 places right → 5.4
- So:
5.4 × 10⁻⁵
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All conversions are now complete and verified.
Final Answer:
3.9 × 10³, 9.4 × 10⁻³, 9.45 × 10⁻³, 9.4 × 10³, 1.06 × 10⁶, 5.729 × 10³, 7.492 × 10⁴, 8 × 10⁻⁴, 6.4 × 10⁻⁴, 2.6 × 10⁻⁸, 3.8 × 10⁻⁸, 3.2 × 10⁻⁶, 6.149 × 10⁷, 1.81 × 10⁸, 5.8 × 10⁶, 7.907 × 10⁶, 6.3 × 10⁴, 2.8 × 10⁻⁶, 3.173 × 10⁸, 5.4 × 10⁻⁵
Parent Tip: Review the logic above to help your child master the concept of scientific notation practice worksheet.
