Tyler converted 0.0000783 to scientific notation.

Question

0.0000783 = 78.3 x 10-6

Analyze Tyler’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No, the coefficient should be 7.83.
No, the ten should be raised to the power –4.
No, the exponent should be a positive value.

Answer 1

Tyler's conversion of 0.0000783 to scientific notation is not correct. The correct conversion should have a coefficient that is between 1 and 10. Therefore, the correct scientific notation for 0.0000783 should be:

\[ 7.83 \times 10^{-5} \]

So the correct answer is: No, the coefficient should be 7.83.

In summary, Tyler made two mistakes:

1. The coefficient should be 7.83, not 78.3.
2. The exponent should be -5, not -6.

This is because moving the decimal point over two places to the right to get 7.83 from 0.0000783 necessitates raising 10 to the power of -5 (indicating how many places you moved the decimal).