Question

a) express each number in scientific notation

1. 3,900 =
2. 0.00064 =
3. 63,000 =
4. 0.00945 =

Explanation:

Step1: Recall scientific - notation form

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

Step2: Convert 3900

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

Step3: Convert 0.00064

Move the decimal point 4 places to the right. So, $0.00064=6.4\times10^{- 4}$.

Step4: Convert 63000

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

Step5: Convert 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. $6.4\times10^{-4}$
3. $6.3\times10^{4}$
4. $9.45\times10^{-3}$