Question

a) express each number in scientific notation. 1) 3,900 = 2) 0.00 3) 0.00064 = 4) 5,800 5) 63,000 = 6) 0.0 7) 0.00945 = 8) 181.

Explanation:

Step1: Recall scientific - notation form

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

Step2: For 3900

Move the decimal point 3 places to the left. So, $3900 = 3.9\times10^{3}$.

Step3: For 0.00064

Move the decimal point 4 places to the right. So, $0.00064=6.4\times 10^{-4}$.

Step4: For 63000

Move the decimal point 4 places to the left. So, $63000 = 6.3\times10^{4}$.

Step5: For 0.00945

Move the decimal point 3 places to the right. So, $0.00945 = 9.45\times10^{-3}$.

Answer:

1. $3.9\times10^{3}$
2. $6.4\times 10^{-4}$
3. $6.3\times10^{4}$
4. $9.45\times10^{-3}$