Let's solve each problem by converting the given numbers into
scientific notation.
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🔷 Scientific Notation Rules:
A number in scientific notation is written as:
>
a × 10ⁿ,
where:
-
1 ≤ |a| < 10 (a is a number between 1 and 10, including 1 but not 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 step by step.
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✔ Solutions:
1)
0.000075
Move decimal 5 places right → 7.5
So:
7.5 × 10⁻⁵
2)
0.00005
Move decimal 5 places right → 5.0
So:
5.0 × 10⁻⁵
3)
0.000022
Move decimal 5 places right → 2.2
So:
2.2 × 10⁻⁵
4)
0.017
Move decimal 2 places right → 1.7
So:
1.7 × 10⁻²
5)
4,523,000
Move decimal 6 places left → 4.523
So:
4.523 × 10⁶
6)
83.6
Move decimal 1 place left → 8.36
So:
8.36 × 10¹
7)
990
Move decimal 2 places left → 9.9
So:
9.9 × 10²
8)
325
Move decimal 2 places left → 3.25
So:
3.25 × 10²
9)
8,600
Move decimal 3 places left → 8.6
So:
8.6 × 10³
10)
75,000
Move decimal 4 places left → 7.5
So:
7.5 × 10⁴
11)
127.8
Move decimal 2 places left → 1.278
So:
1.278 × 10²
12)
5,962
Move decimal 3 places left → 5.962
So:
5.962 × 10³
13)
1.76
Already between 1 and 10 → no change
So:
1.76 × 10⁰
*(Note: 10⁰ = 1, so it's just 1.76)*
14)
0.0000001901
Move decimal 7 places right → 1.901
So:
1.901 × 10⁻⁷
15)
9,110
Move decimal 3 places left → 9.11
So:
9.11 × 10³
16)
3,800
Move decimal 3 places left → 3.8
So:
3.8 × 10³
17)
80,400
Move decimal 4 places left → 8.04
So:
8.04 × 10⁴
18)
4.8
Already in proper form
So:
4.8 × 10⁰
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✔ Final Answers:
1)
7.5 × 10⁻⁵
2)
5.0 × 10⁻⁵
3)
2.2 × 10⁻⁵
4)
1.7 × 10⁻²
5)
4.523 × 10⁶
6)
8.36 × 10¹
7)
9.9 × 10²
8)
3.25 × 10²
9)
8.6 × 10³
10)
7.5 × 10⁴
11)
1.278 × 10²
12)
5.962 × 10³
13)
1.76 × 10⁰
14)
1.901 × 10⁻⁷
15)
9.11 × 10³
16)
3.8 × 10³
17)
8.04 × 10⁴
18)
4.8 × 10⁰
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Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of easy scientific notation worksheet.
