How do you write 154378 in scientific notation?

Aug 6, 2018

To write this number in scientific notation we need to move the decimal point 5 places to the left therefore the exponent for the 10s term will be positive:

$154378 = 157378.0 = 1.54378 \times {10}^{5}$

Aug 8, 2018

$1.54378 \cdot {10}^{5}$

Explanation:

The key realization is that when we write numbers in scientific notation, we want one digit before the decimal point.

In our case, this means we must loop the decimal $5$ times to the left. The number of times we looped it is our exponent, and looping left makes it positive.

Thus, we now have

$1.54378 \cdot {10}^{5}$

Hope this helps!