Question

the number 0.000000675 can be written in scientific notation as $6.75 \times 10^x$. what is the value of x?

Explanation:

Step1: Recall scientific notation rule

Scientific notation: $a \times 10^x$, where $1 \leq a < 10$. To convert $0.000000675$ to this form, move the decimal right until $a=6.75$.

Step2: Count decimal places moved

Moved decimal 7 places right. For numbers <1, exponent is negative.
<Expression> $x = -7$

Answer:

$-7$