Question

scientific notation. 2) 0.000054 = __ 4) 5,800,000 = 6) 0.0008 = 8) 181,000,000 = notation. 2) 5.37×10⁻⁴ = __

Explanation:

Step1: Recall scientific - notation form

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

Step2: Convert 0.000054

Move the decimal point 5 places to the right to get $a = 5.4$ and $n=-5$. So, $0.000054 = 5.4\times10^{-5}$.

Step3: Convert 5800000

Move the decimal point 6 places to the left to get $a = 5.8$ and $n = 6$. So, $5800000=5.8\times10^{6}$.

Step4: Convert 0.00008

Move the decimal point 5 places to the right to get $a = 8$ and $n=-5$. So, $0.00008 = 8\times10^{-5}$.

Step5: Convert 181000000

Move the decimal point 8 places to the left to get $a = 1.81$ and $n = 8$. So, $181000000=1.81\times10^{8}$.

Step6: Convert $5.37\times10^{-4}$

Move the decimal point 4 places to the left. So, $5.37\times10^{-4}=0.000537$.

Answer:

1. $5.4\times10^{-5}$
2. $5.8\times10^{6}$
3. $8\times10^{-5}$
4. $1.81\times10^{8}$

2 (second part) $0.000537$