Respuesta :

We have to convert the number into scientific notation.

The number is 0.00098.

We start by expressing it as a fraction.

If we divide it by 10, we can express it as:

[tex]\frac{0.00098\cdot10}{10}=\frac{0.0098}{10}[/tex]

Dividing by 10 is not enough. In the same way, we have to look a numerator that is multiple of 10 that gives us a numerator that is 9.8.

We would get:

[tex]\frac{0.00098\cdot10000}{10000}=\frac{9.8}{10000}[/tex]

Now we have the numerator we need.

We now express the denominator 10,000 as a power of 10 and we get the number in scientific notation as:

[tex]\frac{9.8}{10000}=\frac{9.8}{10^5}=9.8\cdot10^{-5}[/tex]

Answer: 0.00098 = 9.8 * 10^(-5)