Exponents and Radicals Worksheets | Exponents & Radicals ... - Free Printable

Let's solve this step-by-step. The worksheet has two parts:

---

Part 1: Write each number in standard format

This means converting from scientific notation to standard (decimal) form.

To do this:
- If the exponent is positive, move the decimal point to the right.
- If the exponent is negative, move the decimal point to the left.
- Move the decimal point as many places as the exponent indicates.

---

#### 1) 5.2034 × 10⁸
Move decimal 8 places right:
5.2034 → 520,340,000
✔ 520,340,000

#### 2) 1.59 × 10⁶
Move decimal 6 places right:
1.59 → 1,590,000
✔ 1,590,000

#### 3) 2.1631 × 10⁵
Move decimal 5 places right:
2.1631 → 216,310
✔ 216,310

#### 4) 6.2801 × 10⁷
Move decimal 7 places right:
6.2801 → 62,801,000
✔ 62,801,000

#### 5) 6.393 × 10²
Move decimal 2 places right:
6.393 → 639.3
✔ 639.3

#### 6) 5.4502 × 10²
Move decimal 2 places right:
5.4502 → 545.02
✔ 545.02

#### 7) 9.883 × 10⁹
Move decimal 9 places right:
9.883 → 9,883,000,000
✔ 9,883,000,000

#### 8) 9.37 × 10⁵
Move decimal 5 places right:
9.37 → 937,000
✔ 937,000

#### 9) 4.6845 × 10³
Move decimal 3 places right:
4.6845 → 4,684.5
✔ 4,684.5

#### 10) 4.63 × 10⁸
Move decimal 8 places right:
4.63 → 463,000,000
✔ 463,000,000

---

Part 2: Write each number in scientific notation

To convert to scientific notation:
- Move the decimal point so that there’s only one non-zero digit to the left.
- Count how many places you moved the decimal — that’s the exponent.
- If you moved it left, exponent is positive; if right, it’s negative.

---

#### 11) 14,660,000
Move decimal 7 places left:
1.466 × 10⁷
✔ 1.466 × 10⁷

#### 12) 65,980
Move decimal 4 places left:
6.598 × 10⁴
✔ 6.598 × 10⁴

#### 13) 50.2
Move decimal 1 place left:
5.02 × 10¹
✔ 5.02 × 10¹

#### 14) 36,200
Move decimal 4 places left:
3.62 × 10⁴
✔ 3.62 × 10⁴

#### 15) 1,993,000,000
Move decimal 9 places left:
1.993 × 10⁹
✔ 1.993 × 10⁹

#### 16) 4130
Move decimal 3 places left:
4.13 × 10³
✔ 4.13 × 10³

#### 17) 765,000
Move decimal 5 places left:
7.65 × 10⁵
✔ 7.65 × 10⁵

#### 18) 38.184
Move decimal 1 place left:
3.8184 × 10¹
✔ 3.8184 × 10¹

#### 19) 4,470,000
Move decimal 6 places left:
4.47 × 10⁶
✔ 4.47 × 10⁶

#### 20) 37,082
Move decimal 4 places left:
3.7082 × 10⁴
✔ 3.7082 × 10⁴

---

✔ Final Answers:

#### Part 1: Standard Format
1) 520,340,000
2) 1,590,000
3) 216,310
4) 62,801,000
5) 639.3
6) 545.02
7) 9,883,000,000
8) 937,000
9) 4,684.5
10) 463,000,000

#### Part 2: Scientific Notation
11) 1.466 × 10⁷
12) 6.598 × 10⁴
13) 5.02 × 10¹
14) 3.62 × 10⁴
15) 1.993 × 10⁹
16) 4.13 × 10³
17) 7.65 × 10⁵
18) 3.8184 × 10¹
19) 4.47 × 10⁶
20) 3.7082 × 10⁴

---

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