# How to write in Scientific Notation

A positive number is written in scientific notation if it is written in the form:

a x 10y

where 1 < a < 10 and r is an integer power of 10.

Step one: Move the decimal point after the first non-zero number.

Step two: Count the number of decimal places moved in previous step.

-so if you moved the decimal to the left the count is positive.
- if you moved the decimal to the right the count is negative.

Step three: write as a product of the number found in step one and raise it to the power of the number found in step two.

Example 1: write the number in scientific notation.
934,000,000,000

Step 1: move decimal point to where it creates a number between 1-10
934,000,000,000. <-- Decimal is at end of number
9.34 <-- move decimal create number between 1-10

Step 2: count number decimal points moved in step 1
We started at the end of the number 934,000,000,000 and moved it between the 7 and 3. A move of 11 places to the left.
That gives us +11.

Step 3: write as a product of number found in step one and raise it to the power found in step 2.
so we get (the answer is): 9.34 x 10^11 (9.34 x 10 to the positive 11th power.)

Example 2: write the number in scientific notation.
.000026

Step 1: move decimal point to where it creates a number between 1-10
.000026 <-- Decimal is at beginning of number
2.6 <-- move decimal create number between 1-10

Step 2: count number decimal points moved in step 1
We started at the beginning of the number .000026 and moved it between the 1 and 5. A move of 5 places to the right that gives us -5.

Step 3: write as a product of number found in step one and raise it to the power found in step 2.
so our answer is: 2.6 x 10^-5 (2.6 x 10 to the negative 5 power)

And that is how you writer in scientific notation.