How do you write 1240.64 / 6.4 in scientific notation?

Jul 14, 2017

See a solution process below:

Explanation:

First, we can divide 1240.64 by 6.4:

$\frac{1240.64}{6.4} = 193.85$

Next, to write this term in scientific notation we need to move the decimal point 2 places to the left so the exponent of the 10s term will be positive:

$193.85 = 1.9385 \times {10}^{2}$

Jul 14, 2017

$1.9385 \times {10}^{2}$

Explanation:

Let's write the entire calculation in scientific notation:
There should be only ONE digit before the decimal point.
Move the decimal point, counting the number of place holders moved.

$1000 = {10}^{3}$

$\frac{1 \textcolor{red}{240.} 64}{6.4} = \frac{1 \textcolor{red}{.240} 64 \times {10}^{\textcolor{red}{3}}}{6.4}$

Now do the division: $\text{ } 1.24064 \div 6.4$

$= \textcolor{b l u e}{0.1} 9385 \times {10}^{\textcolor{b l u e}{3}} \text{ } \leftarrow$ not scientific notation

$= \textcolor{b l u e}{1.9} 385 \times {10}^{\textcolor{b l u e}{2}}$