# What is the quotient of )2.965 x 10^7) div (5x10^3)?

Apr 16, 2018

$\left(2.965 \times {10}^{7}\right) \div \left(5 \times {10}^{3}\right) = 5.93 \times {10}^{3}$

#### Explanation:

$\left(2.965 \times {10}^{7}\right) \div \left(5 \times {10}^{3}\right)$

= $\frac{2.965}{5} \cdot {10}^{7} / {10}^{3}$

= $0.593 \cdot {10}^{7 - 3}$

= $0.593 \times {10}^{4}$

= $5.93 \times {10}^{3}$

Note that numbers are given in scientific notation, where we describe a number as $a \times {10}^{n}$, where $1 \le a < 10$ and $n$ is an integer. Here as $0.593 < 1$, we modified the answer appropriately.