What is 965,000,000,000,000 in scientific notation?

Aug 12, 2016

$965 , 000 , 000 , 000 , 000 = 9.65 \times {10}^{14}$

Explanation:

Thank goodness for scientific notation!

Imagine having to work with numbers like this without a short and easy way to write these very big or very small numbers!
'Scientific notation uses the powers of 10.

$10 = 1 \times 10$
$100 \times 1 \times {10}^{2}$

$1 , 000 , 000 = 1 \times {10}^{6}$

$200 , 000 , 000 = 2 \times {10}^{8} \mathmr{and} 250 , 000 , 000 = 2.5 \times {10}^{8}$

Decide which power of 10 we are working with first by counting the number of place holders AFTER the first digit.

In $9 \textcolor{red}{65 , 000 , 000 , 000 , 000}$ there are $\textcolor{red}{14}$ place holders, which means we have multiplied by 10, fourteen times.

$100 , 000 , 000 , 000 , 000 = 1 \times {10}^{14}$ We have 9.65 times as many:

Notice that there is always just ONE digit before the decimal point.

$965 , 000 , 000 , 000 , 000 = 9.65 \times {10}^{14}$