Question

question 5 (5 points)
convert the following into scientific notation or standard notation:
a) 0.000 049
b) 5 120 000
c) 4.5 x 10^4
d) 7.7 x 10^-5
e) 1234.0

Explanation:

Step1: Recall scientific - notation rule

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

Step2: Convert 0.000049

Move the decimal point 5 places to the right to get a number between 1 and 10. So, $0.000049 = 4.9\times10^{- 5}$.

Step3: Convert 5120000

Move the decimal point 6 places to the left to get a number between 1 and 10. So, $5120000=5.12\times10^{6}$.

Step4: Convert $4.5\times10^{4}$ to standard notation

Since the exponent of 10 is 4, move the decimal point 4 places to the right. $4.5\times10^{4}=45000$.

Step5: Convert $7.7\times10^{-5}$ to standard notation

Since the exponent of 10 is - 5, move the decimal point 5 places to the left. $7.7\times10^{-5}=0.000077$.

Step6: Convert 1234.0

Move the decimal point 3 places to the left to get a number between 1 and 10. So, $1234.0 = 1.234\times10^{3}$.

Answer:

a) $4.9\times10^{-5}$
b) $5.12\times10^{6}$
c) 45000
d) 0.000077
e) $1.234\times10^{3}$