Standard Notation to Scientific Notation support page - Free Printable

Let’s go step by step to convert each number from standard form to scientific notation.

Scientific notation means writing a number as:
a × 10ⁿ, where:
- a is a number between 1 and 10 (including 1, but less than 10)
- n is an integer (positive or negative)

How to do it:

1. Move the decimal point in the original number so that only one non-zero digit is to the left of the decimal.
2. Count how many places you moved the decimal — that’s your exponent n.
- If you moved the decimal to the left, n is positive.
- If you moved the decimal to the right, n is negative.
3. Write the result as a × 10ⁿ

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Let’s solve all 40 problems carefully:

#### Left Column (1–20):

1) 8720 → move decimal 3 places left → 8.72 × 10³
2) 0.175 → move decimal 1 place right → 1.75 × 10⁻¹
3) 23.9 → move decimal 1 place left → 2.39 × 10¹
4) 25,000 → move decimal 4 places left → 2.5 × 10⁴
5) -52.6 → ignore sign first: 52.6 → move 1 left → -5.26 × 10¹
6) 0.0065 → move decimal 3 places right → 6.5 × 10⁻³
7) -0.76 → move decimal 1 place right → -7.6 × 10⁻¹
8) 42,950 → move decimal 4 places left → 4.295 × 10⁴
9) 0.0825 → move decimal 2 places right → 8.25 × 10⁻²
10) 70203 → move decimal 4 places left → 7.0203 × 10⁴
11) 0.0003 → move decimal 4 places right → 3 × 10⁻⁴
12) 5329 → move decimal 3 places left → 5.329 × 10³
13) 170,000 → move decimal 5 places left → 1.7 × 10⁵
14) 0.00423 → move decimal 3 places right → 4.23 × 10⁻³
15) -37,000 → move decimal 4 places left → -3.7 × 10⁴
16) -0.056 → move decimal 2 places right → -5.6 × 10⁻²
17) 590,230 → move decimal 5 places left → 5.9023 × 10⁵
18) 1.43 → already between 1 and 10 → 1.43 × 10⁰ *(but usually we write just 1.43 if exponent is 0, but per instructions, we’ll include it)*
Wait — actually, for consistency with examples given (like 23.9 = 2.39 × 10¹), we should always write in full scientific notation even if exponent is 0? But looking at example: 267 = 2.67 × 10² — they didn’t show any with exponent 0. However, mathematically, 1.43 = 1.43 × 10⁰. Let’s check problem 35: 9.329 — same thing. We'll follow strict rule: if it's already between 1 and 10, exponent is 0.

But wait — let me double-check common practice. In most school worksheets, if the number is already between 1 and 10, they still expect you to write it as ×10⁰. For example, 5 = 5 × 10⁰. So yes, we will include exponent 0 when needed.

So:
18) 1.43 → 1.43 × 10⁰
19) 2,000,000 → move decimal 6 places left → 2 × 10⁶
20) 95,000 → move decimal 4 places left → 9.5 × 10⁴

#### Right Column (21–40):

21) 670,000 → move decimal 5 places left → 6.7 × 10⁵
22) 0.0008 → move decimal 4 places right → 8 × 10⁻⁴
23) 2.382 → already between 1 and 10 → 2.382 × 10⁰
24) 5,000,000 → move decimal 6 places left → 5 × 10⁶
25) 729.65 → move decimal 2 places left → 7.2965 × 10²
26) 53.06 → move decimal 1 place left → 5.306 × 10¹
27) -0.0016 → move decimal 3 places right → -1.6 × 10⁻³
28) 2,700,000 → move decimal 6 places left → 2.7 × 10⁶
29) 790,000 → move decimal 5 places left → 7.9 × 10⁵
30) 0.000016 → move decimal 5 places right → 1.6 × 10⁻⁵
31) 45,000,000 → move decimal 7 places left → 4.5 × 10⁷
32) 1,234,567 → move decimal 6 places left → 1.234567 × 10⁶
33) 0.09283 → move decimal 2 places right → 9.283 × 10⁻²
34) -0.0072 → move decimal 3 places right → -7.2 × 10⁻³
35) 9.329 → already between 1 and 10 → 9.329 × 10⁰
36) 10.5 → move decimal 1 place left → 1.05 × 10¹
37) 780,000,000 → move decimal 8 places left → 7.8 × 10⁸
38) 0.000327 → move decimal 4 places right → 3.27 × 10⁻⁴
39) -0.6 → move decimal 1 place right → -6 × 10⁻¹
40) 0.0000085 → move decimal 6 places right → 8.5 × 10⁻⁶

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Now, let’s compile the final answers in order.

Final Answer:
1) 8.72 × 10³
2) 1.75 × 10⁻¹
3) 2.39 × 10¹
4) 2.5 × 10⁴
5) -5.26 × 10¹
6) 6.5 × 10⁻³
7) -7.6 × 10⁻¹
8) 4.295 × 10⁴
9) 8.25 × 10⁻²
10) 7.0203 × 10⁴
11) 3 × 10⁻⁴
12) 5.329 × 10³
13) 1.7 × 10⁵
14) 4.23 × 10⁻³
15) -3.7 × 10⁴
16) -5.6 × 10⁻²
17) 5.9023 × 10⁵
18) 1.43 × 10⁰
19) 2 × 10⁶
20) 9.5 × 10⁴
21) 6.7 × 10⁵
22) 8 × 10⁻⁴
23) 2.382 × 10⁰
24) 5 × 10⁶
25) 7.2965 × 10²
26) 5.306 × 10¹
27) -1.6 × 10⁻³
28) 2.7 × 10⁶
29) 7.9 × 10⁵
30) 1.6 × 10⁻⁵
31) 4.5 × 10⁷
32) 1.234567 × 10⁶
33) 9.283 × 10⁻²
34) -7.2 × 10⁻³
35) 9.329 × 10⁰
36) 1.05 × 10¹
37) 7.8 × 10⁸
38) 3.27 × 10⁻⁴
39) -6 × 10⁻¹
40) 8.5 × 10⁻⁶