Example 1

Convert: 6.28 × 10⁵ to standard form.

Move the decimal 5 places to the right:

6.28 → 62,800

Answer: 62,800

Example 2

Convert: 6.28 × 10^-3 to standard form.

A negative exponent means move the decimal to the left:

6.28 → 0.00628

Answer: 0.00628

Example 3

Convert: 6.28 × 10⁴ to standard form.

Move the decimal 4 places to the right:

6.28 → 62,800

Answer: 62,800

Example 4

Convert: 1/10 × 10⁵ to standard form.

First convert the fraction:

1/10 = 0.1

Then multiply:

0.1 × 10⁵

Move the decimal 5 places:

0.1 → 10,000

Answer: 10,000

Challenge Problem

Simplify: 10⁴ × 2 × √9

First simplify the square root:

√9 = 3

Multiply:

2 × 3 = 6

Now the expression becomes:

6 × 10⁴

Convert to standard form:

6 → 60,000

Answer: 60,000