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7. the approximate mass of a dust particle is 0.000000000753 kg. what r…

Question

  1. the approximate mass of a dust particle is 0.000000000753 kg. what represents 0.000000000753 in scientific notation? a. $7.53 \times 10^{-10}$ b. $7.53 \times 10^{-11}$ c. $7.53 \times 10^{10}$ d. $7.53 \times 10^{11}$

Explanation:

Step1: Identify decimal shift count

Count how many places to move the decimal point to get a number between 1 and 10. For 0.000000000753, move the decimal 10 places to the right to get 7.53.

Step2: Assign exponent sign

Since the original number is less than 1, the exponent of 10 is negative, equal to the number of places shifted.
<Expression>
$7.53 \times 10^{-10}$
</Expression>

Answer:

A. $7.53 \times 10^{-10}$