# How do you write 0.004 583 4 in scientific notation?

May 30, 2018

$4.5834 \times {10}^{-} 3$#

#### Explanation:

$0.0045834 = \frac{45834}{10000000} = 45834 \div 100000000 = 45834 \div {10}^{7} = 45834 \times \frac{1}{10} ^ 7 = 45834 \times {10}^{-} 7 = 4.5834 \times {10}^{4} \times {10}^{-} 7 = 4.5834 \times {10}^{4 - 7} = 4.5834 \times {10}^{-} 3$

## or

In standard form, counting from the decimal point to the right, means that the exponent value should be negative, while counting from the decmimal point to the left, the exponent value should be positive..

Now, Given;

$0.0045834$

We are counting from the decimal point, to the right, while counting to the right, our stopping point should be the first non-zero digit, while counting from the left, it should be the last none-zero digit..

Hence;

$0.0045834 = 4.5834 \times {10}^{-} 3$

We counted, from the decimal point, three times and placed the point inbetween $4 \mathmr{and} 5$