How do you write 6.0 × 104 in standard form?

1 answer

The expression \(6.0 \times 10^4\) is already in standard form. In standard form, a number is expressed as the product of a coefficient (which is usually between 1 and 10) and a power of 10. Here, 6.0 is the coefficient and \(10^4\) indicates that the decimal point in 6.0 should be moved 4 places to the right.

To convert \(6.0 \times 10^4\) to decimal form, you can perform the following steps:

  1. Start with the coefficient: 6.0

  2. Move the decimal point 4 places to the right:

    • Move 1 place: 60.0
    • Move 2 places: 600.0
    • Move 3 places: 6000.0
    • Move 4 places: 60000.0

Thus, \(6.0 \times 10^4\) in standard decimal form is 60000.