# How do you write 0.000938 in scientific notation?

##### 2 Answers

0.000938 in scientific notation is 9.38 x

#### Explanation:

The first step to converting a number into scientific notation is moving your decimal behind the first number between 1-10.

In this case, your number is **0.000938** . So, you move your decimal to the **right 4 places until your decimal is behind 9** , or the first number between 1-10.

(Another example would be **0.0000398** . In this case you would move your decimal 5 places until your decimal is behind the 3.)

Now that you've moved your decimal **4 places to the right** behind 9, your new number is 9.38.

In order to determine if your power or **number** is **<1** your power will be negative. If the original **number** is **> 1** your power will be positive

In this case, your original number is negative. Therefore, your power will be a **negative 4**

Your final answer is 9.38 x

Please read the explanation.

#### Explanation:

**Given:**

The real number

We must write this real number in **scientific notation.**

When we need to represent very large numbers or very small numbers, scientific representation can be very useful.

When we write in **scientific notation** we write the digits with the decimal point placed after the first digit.

We **multiply the digit by 10** to a **positive or a negative power** that places the decimal point where it should be.

We need to think about **how many places to move the decimal point.**

Then we can figure out the power of 10.

**When the number is smaller than 1,** the decimal point has to move to the **right** , so the **power of 10 is negative** .

**When the number is 10 or greater** , the decimal point has to move to the **left**, and **the power of 10 is positive.**

Now, we can start working on

In **scientific notation**, we can write it as

**or**

Verify that the **digits** part is **between 1 and 10**.

Remember that it can be 1, but never 10.

Hope it helps.