## Scientific notation calculations with formulas

scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

For 2 number x1 and x2:

*x*_{1} = *a*_{1} × 10^{b1}

*x*_{2} = *a*_{2} × 10^{b2}

#### Scientific notations addition

*x*_{1} + *x*_{2} = *a*_{1} × 10^{b1} + *a*_{2} × 10^{b2}

#### Scientific notations subtraction

*x*_{1} - *x*_{2} = *a*_{1} × 10^{b1} - *a*_{2} × 10^{b2}

#### Scientific notations multiplication

*x*_{1} × *x*_{2} = *a*_{1}*a*_{2} × 10^{b1+b2}

#### Scientific notations division

*x*_{1} / *x*_{2} = (*a*_{1}/*a*_{2}) × 10^{b1-b2}