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question 5 (mandatory) (1 point) write the number 0.003352 in scientifi…

Question

question 5 (mandatory) (1 point)
write the number 0.003352 in scientific notation.

a) $3.352\times 10^{-1}$
b) $3.352\times 10^{-3}$
c) $3.352\times 10^{2}$
d) $3.352\times 10^{-2}$
e) $-3.352\times 10^{2}$

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer. For a number less than 1, we move the decimal point to the right until we get a number between 1 and 10, and \( n \) is negative (equal to the number of places we moved the decimal).

Step2: Process 0.003352

For \( 0.003352 \), we move the decimal point 3 places to the right to get \( 3.352 \). Since we moved the decimal 3 places to the right, \( n = -3 \). So in scientific notation, it is \( 3.352 \times 10^{-3} \).

Answer:

b) \( 3.352 \times 10^{-3} \)