# How do you simplify and write 2.897times10^3 + 2.09times10^4 in standard notation?

Jul 14, 2017

$2.3797 \times {10}^{4}$

#### Explanation:

To add numbers in standard notation the powers of $10$ must be the same .

So one of the numbers is taken out of standard notation, then the numbers added. Then return to standard notation

$2.897 \times {10}^{3} + 2.09 \times {10}^{4}$

$= 2.897 \times {10}^{3} + 2.09 \times {10}^{3} \times 10$

$= 2.897 \times {10}^{3} + 20.9 \times {10}^{3}$

$\left(2.897 + 20.9\right) \times {10}^{3}$

$23.797 \times {10}^{3}$

$2.3797 \times {10}^{4}$