# How do you simplify and write (1.25 times 10^6) + (250 times 10^3) in standard notation?

Jun 15, 2017

See a solution process below:

#### Explanation:

To add these two terms we need to convert to a common factor for the 10s terms.

We can rewrite $\left(1.25 \times {10}^{6}\right)$ if we move the decimal point 3 places to the right we can subtract $3$ from the exponent of the 10s term:

$1.25 \times {10}^{6} = 1250 \times {10}^{3}$

We can now rewrite the entire expression:

$\left(1250 \times {10}^{3}\right) + \left(250 \times {10}^{3}\right)$

Next we can factor ${10}^{3}$ out of each term in parenthesis:

$\left(1250 + 250\right) {10}^{3} \implies 1500 \times {10}^{3}$

To rewrite this in standard scientific notation we can move the decimal point 3 places to the left and add $3$ to the exponent of the 10s term:

$1500 \times {10}^{3} \implies 1.5 \times {10}^{6}$

Or to rewrite this in standard notation we need to move the decimal point 3 places to the right:

$1500 \times {10}^{3} \implies 1 , 500 , 000$