# How do you evaluate 5\times 10^ { - 6} \times 24?

May 10, 2018

$0.00012$

#### Explanation:

As per the question, we have

$5 \times {10}^{-} 6 \times 24$

$= 5 \times 24 \times {10}^{-} 6$

$= 120 \times {10}^{-} 6$

$= \frac{120}{1000000}$

$= \frac{12 \cancel{0}}{100000 \cancel{0}}$

$= 0.00012$

$1.2 \times {10}^{-} 4$
$5 \times {10}^{-} 6 \times 24$ if we are using scientific notation put 24 as $24 \times {10}^{0}$
$\implies 5 \times {10}^{-} 6 \times 24 \times {10}^{0} = 5 \times 24 \times {10}^{-} 6 \times {10}^{0}$
$\implies 120 \times {10}^{-} 6 = 1.2 \times {10}^{2} \times {10}^{-} 6 = 1.2 \times {10}^{-} 4$