Hannah is asked to convert the number 0.00000305 to scientific notation. Her answer is 3.05 × 106.

Question

Which statement best describes her answer?

Hannah is not correct because 3.05 should be 3.5.
Hannah is correct.
Hannah is not correct because the exponent should be -6.
Hannah is not correct because the exponent should be 8.

Answer 1

Hannah is not correct because the exponent should be -6.

The correct scientific notation for 0.00000305 is \(3.05 \times 10^{-6}\). The exponent is negative because the decimal point moved 6 places to the right to convert the number into a form where there is only one non-zero digit to the left of the decimal point.