Question

only one digit should be in front of decimal
digit in front decimal cant
× 456 x 10³ × 0.162
which of the following following is the correct conversion to scientific notation?
a. 2580 g → 2.58 x 10⁻³ g
b. 2580 g → 2.58 x 10³ g
c. 2580 g → 25.8 x 10² g
which of the following the scientific notation for 0.086?

Explanation:

Step1: Recall scientific - notation rules

Scientific notation is of the form $a\times10^{n}$, where $1\leq|a|\lt10$ and $n$ is an integer.

Step2: Convert 2580 g to scientific notation

Move the decimal point 3 places to the left to get $a = 2.58$ and since we moved the decimal point 3 places to the left, $n=3$. So $2580=2.58\times 10^{3}$.

Step3: Analyze option a

For $2580\ g
ightarrow2.58\times 10^{- 3}\ g$, the exponent of 10 is incorrect. When converting 2580 to scientific - notation, we should get a positive exponent as 2580 is greater than 1.

Step4: Analyze option c

For $2580\ g
ightarrow25.8\times 10^{2}\ g$, $25.8$ is not in the range $1\leq|a|\lt10$.

Answer:

B. $2580\ g
ightarrow2.58\times 10^{3}\ g$