Question

Which of the following numbers is written in scientific notation?

Select all that apply.
A. 19.9 × 10⁰
B. 5.99 × 10⁻⁹
C. 3.42 × 10⁻⁹
D. 18.0 × 10
E. 1.80 × 10⁰
F. 34.2 × 10⁹

Answer 1

Scientific notation requires the format a × 10^n, with 1 <= a < 10 and n as an integer. Options B (5.99 × 10⁻⁹), C (3.42 × 10⁻⁹), and E (1.80 × 10⁰) are properly written in scientific notation.

Step-by-step explanation:

To determine which of the numbers is written in scientific notation, we need to recall that a number is in scientific notation if it has the form a × 10^n where a is a number between 1 and 10 (inclusive of 1 but strictly less than 10) and n is an integer. The following numbers are in proper scientific notation:

• B. 5.99 × 10⁻⁹ - This follows the correct format with a coefficient between 1 and 10 and an integer exponent.
• C. 3.42 × 10⁻⁹ - This number also follows the scientific notation format.
• E. 1.80 × 10⁰ - Although the exponent is zero, which simply equals 1, the format is still maintained.

The other options are not in proper scientific notation for the following reasons:

• A. 19.9 × 10⁰ - The coefficient should be less than 10.
• D. 18.0 × 10 - The exponent must be an integer.
• F. 34.2 × 10⁹ - The coefficient should be less than 10.

To rewrite numbers in proper scientific notation, remember to adjust the coefficient to be between 1 and 10 by moving the decimal point the appropriate number of places, and compensate by adjusting the exponent of 10 accordingly.