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

a x 10^{y}

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.

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