Worksheet for practicing conversion between scientific and standard notation.

Let's solve each problem step by step.

---

Part 1: Convert the following numbers into scientific notation

Scientific notation format:
a × 10ⁿ, where 1 ≤ a < 10 and n is an integer.

---

1) 923
Move decimal point 2 places to the left → 9.23
So, 9.23 × 10²

2) 0.00425
Move decimal point 3 places to the right → 4.25
So, 4.25 × 10⁻³

3) 452300
Move decimal point 5 places to the left → 4.523
So, 4.523 × 10⁵

4) 0.94300
Move decimal point 1 place to the right → 9.43
So, 9.43 × 10⁻¹

5) 6750
Move decimal point 3 places to the left → 6.75
So, 6.75 × 10³

6) 92.03
Move decimal point 1 place to the left → 9.203
So, 9.203 × 10¹

7) 7.80
Already between 1 and 10 → no change
So, 7.80 × 10⁰

8) 0.00000032
Move decimal point 7 places to the right → 3.2
So, 3.2 × 10⁻⁷

---

Part 2: Convert the following numbers into standard notation

Standard notation means writing out the number in full (without exponents).

---

9) 3.92400 × 10⁵
Move decimal 5 places to the right → 392400
So, 392,400

10) 9.2 × 10⁶
Move decimal 6 places to the right → 9,200,000
So, 9,200,000

11) 4.391 × 10⁻³
Move decimal 3 places to the left → 0.004391
So, 0.004391

12) 6.825 × 10⁻⁴
Move decimal 4 places to the left → 0.0006825
So, 0.0006825

13) 4.6978 × 10⁴
Move decimal 4 places to the right → 46,978
So, 46,978

14) 8.36 × 10¹
Move decimal 1 place to the right → 83.6
So, 83.6

15) 2.46 × 10⁻⁵
Move decimal 5 places to the left → 0.0000246
So, 0.0000246

16) 8.8 × 10²
Move decimal 2 places to the right → 880
So, 880

---

✔ Final Answers:

#### Scientific Notation:
1) 9.23 × 10²
2) 4.25 × 10⁻³
3) 4.523 × 10⁵
4) 9.43 × 10⁻¹
5) 6.75 × 10³
6) 9.203 × 10¹
7) 7.80 × 10⁰
8) 3.2 × 10⁻⁷

#### Standard Notation:
9) 392,400
10) 9,200,000
11) 0.004391
12) 0.0006825
13) 46,978
14) 83.6
15) 0.0000246
16) 880

---

Let me know if you'd like this formatted as a printable answer sheet!