0.000347 equals which scientific notation?

0.000347 equals which scientific notation?

• A. 3.47 x 10^-3
• B. 3.47 x 10^-5
• C. 3.47 x 10^-6
• D. 3.47 x 10^-4

Answer: (D)

To express 0.000347 in scientific notation, make the mantissa between 1 and 10. Move the decimal four places to the right to get 3.47. Because the decimal was moved to the right, the exponent must be negative, giving 3.47 × 10^-4. Check by reversing: 3.47 × 0.0001 = 0.000347. The other exponents would yield numbers with different magnitudes (larger or smaller by factors of ten), so they don’t match.

To express 0.000347 in scientific notation, make the mantissa between 1 and 10. Move the decimal four places to the right to get 3.47. Because the decimal was moved to the right, the exponent must be negative, giving 3.47 × 10^-4. Check by reversing: 3.47 × 0.0001 = 0.000347. The other exponents would yield numbers with different magnitudes (larger or smaller by factors of ten), so they don’t match.