Question

in 7 - 10, find each product or quotient. record solutions in scientific and standard notation.

1. (0.000012)(6 x 10^(-2))

scientific:
standard:

1. (7.3 x 10^(-1))(0.004)

scientific:
standard:

1. $\frac{6\times10^{-3}}{0.00003}$

scientific:
standard:

1. $\frac{96000}{1.2\times10^{-1}}$

scientific:
standard:

Explanation:

7.

Step1: Convert 0.000012 to scientific - notation

$0.000012 = 1.2\times10^{-5}$

Step2: Multiply the numbers

$(1.2\times10^{-5})(6\times10^{-2})=(1.2\times6)\times(10^{-5}\times10^{-2})$
$= 7.2\times10^{-7}$ (scientific - notation)

Step3: Convert to standard - notation

$7.2\times10^{-7}=0.00000072$

Step1: Convert 0.004 to scientific - notation

$0.004 = 4\times10^{-3}$

Step2: Multiply the numbers

$(7.3\times10^{-1})(4\times10^{-3})=(7.3\times4)\times(10^{-1}\times10^{-3})$
$= 29.2\times10^{-4}$

Step3: Adjust for proper scientific - notation

$29.2\times10^{-4}=2.92\times10^{-3}$ (scientific - notation)

Step4: Convert to standard - notation

$2.92\times10^{-3}=0.00292$

Step1: Convert 0.00003 to scientific - notation

$0.00003 = 3\times10^{-5}$

Step2: Divide the numbers

$\frac{6\times10^{-3}}{3\times10^{-5}}=\frac{6}{3}\times\frac{10^{-3}}{10^{-5}}$
$= 2\times10^{-3-(-5)}=2\times10^{2}$ (scientific - notation)

Step3: Convert to standard - notation

$2\times10^{2}=200$

Answer:

Scientific: $7.2\times10^{-7}$
Standard: $0.00000072$

8.