# How do you write 435.886 in scientific notation?

Dec 9, 2015

$4.35886 \times {10}^{2}$

#### Explanation:

This number is read as "four hundred" , then "and".

Scientific notation allows only one digit before the decimal place, and "hundred" is written mathematically as $10 \times 10$, or ${10}^{2}$.

Without the other digits, the number four hundred would be written as $4. \times {10}^{2}$.

All the other digits in the number are written after the decimal point.

If you wrote $\text{3,000,000}$ (three million) in scientific notation, write down the first digit and put in a decimal, $3.$

A million is $10 \times 10 \times 10 \times 10 \times 10 \times 10$, or ${10}^{6}$.

So you have $= 3. \times {10}^{6}$

All other digits in the number are written after the decimal point.

$\text{3,173,765} \to 3.173 765 \times {10}^{6}$