Question

Express this number in scientific notation: 0.0002077

Answer 1

2.077 x
`10^(-4)`

Explanation:

First, move the decimal place until we have a single digit between 1 and 10 to the left of the decimal point. In this problem, if we keep moving the decimal point to the right in 0.0002077 we will get 2.077.

Next, count how many places we moved the decimal point. If we have to move the decimal place to the right, the exponent will be negative. If we had moved the decimal place to the left, the exponent would be positive. In this case we had to move it 4 places to the right to change 0002077 to 2.077. We show that we moved it 4 places to the right by noting that the number should be multiplied by
`10^(-4)`.

Answer 2

Given the number:

0.0002077​

Let's express in scientific notation.

To express the number in scientific notation, move the decimal point so that there is only one non-zero number to the left of the decimal point.

Then, the number of decimal places you move will be the exponent on 10.

If the decimal point is moved to the right, the exponent will be negative.

If the decimal pointt is moved to the left, the exponent will be positive.

In this case the decimal point will be moved to the right.

Using this description, we have the scientific notation below: