Question

Convert this number into scientific notation 0.00098

Answer 1

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:

`(0.00098\cdot10)/(10)=(0.0098)/(10)`

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:

`(0.00098\cdot10000)/(10000)=(9.8)/(10000)`

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:

`(9.8)/(10000)=(9.8)/(10^5)=9.8\cdot10^(-5)`

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