Explain how to convert numbers from standard form to scientific notation

Example:

Here we wish to write the number 0.000345 as a coefficient times 10 raised to an exponent. To convert to scientific notation, start by moving the decimal place in the number until you have a coefficient between 1 and 10; here it is 3.45. The number of places to the left that you had to move the decimal point is the exponent. Here, we had to move the decimal 4 places to the right, so the exponent is -4.

0.000345

= 0.00345 / 10

= 0.0345 / (10 × 10)

= 0.345 / (10 × 10 × 10)

= 3.45 / (10 × 10 × 10 × 10)

= 3.45 / (104)

= 3.45 × 10-4

I hope this helps you.