Let's solve each number by converting it into
scientific notation.
🔹 Scientific Notation Rules:
A number in scientific notation is written as:
a × 10ⁿ, where:
-
1 ≤ |a| < 10
-
n is an integer (positive for large numbers, negative for small decimals)
We move the decimal point so that only
one non-zero digit is to the left of the decimal, then count how many places we moved the decimal to determine the exponent.
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✔ Step-by-step Solutions:
1.
0.000000682
- Move decimal 7 places to the right → 6.82
- So,
6.82 × 10⁻⁷
2.
0.00000843
- Move decimal 6 places to the right → 8.43
- So,
8.43 × 10⁻⁶
3.
210
- Move decimal 2 places to the left → 2.10
- So,
2.10 × 10²
4.
2487000
- Move decimal 6 places to the left → 2.487
- So,
2.487 × 10⁶
5.
1573000
- Move decimal 6 places to the left → 1.573
- So,
1.573 × 10⁶
6.
7622000
- Move decimal 6 places to the left → 7.622
- So,
7.622 × 10⁶
7.
0.0000645
- Move decimal 5 places to the right → 6.45
- So,
6.45 × 10⁻⁵
8.
0.006
- Move decimal 3 places to the right → 6.0
- So,
6.0 × 10⁻³
9.
0.0075
- Move decimal 3 places to the right → 7.5
- So,
7.5 × 10⁻³
10.
2866.3
- Move decimal 3 places to the left → 2.8663
- So,
2.8663 × 10³
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✔ Final Answers:
1. 0.000000682 =
6.82 × 10⁻⁷
2. 0.00000843 =
8.43 × 10⁻⁶
3. 210 =
2.10 × 10²
4. 2487000 =
2.487 × 10⁶
5. 1573000 =
1.573 × 10⁶
6. 7622000 =
7.622 × 10⁶
7. 0.0000645 =
6.45 × 10⁻⁵
8. 0.006 =
6.0 × 10⁻³
9. 0.0075 =
7.5 × 10⁻³
10. 2866.3 =
2.8663 × 10³
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Parent Tip: Review the logic above to help your child master the concept of scientific notations worksheet.
