Question

Which of the numbers below are correctly written in scientific notation?

(there may be more than one answer)
A. 4.51x10⁻²
B. 31.5x10²
C. 0.789x10⁵
D. 3.008x10⁻⁸

Answer 1

The numbers correctly written in scientific notation are A. 4.51x10⁻² and D. 3.008x10⁻⁸. In scientific notation, a number must be between 1 and 10 multiplied by a power of 10.

Step-by-step explanation:

The numbers are correctly written in scientific notation. In scientific notation, a number is written as the product of a number between 1 and 10 and a power of 10. Here, the number should have only one non-zero digit to the left of the decimal point.

• A. 4.51x10⁻² - This is correct; it has one non-zero digit to the left of the decimal and the exponent is correctly written.
• B. 31.5x10² - Incorrect; it should be 3.15x10³ to be in proper scientific notation.
• C. 0.789x10⁵ - Incorrect; it should be 7.89x10⁴ to be in proper scientific notation.
• D. 3.008x10⁻⁸ - This is correct; it has one non-zero digit to the left of the decimal and the exponent is correctly written.