Question

express 0.0000046 in scientific notation.
?×10^?
enter the coefficient in the green box and the exponent in the yellow box.

Explanation:

Step1: Identify the coefficient

To express a number in scientific notation \( a \times 10^n \) where \( 1 \leq |a| < 10 \), we move the decimal point in \( 0.0000046 \) to the right until we get a number between 1 and 10. Moving the decimal point 6 places to the right gives \( 4.6 \).

Step2: Determine the exponent

Since we moved the decimal point 6 places to the right, the exponent \( n \) is negative (because the original number is less than 1). So \( n = -6 \).

Answer:

The coefficient is \( 4.6 \) and the exponent is \( -6 \), so \( 0.0000046 = \boxed{4.6} \times 10^{\boxed{-6}} \)