Tro's Introductory Chemistry, Chapter 2 1 Scientific Notation A way of writing large and small numbers.

Tro's "Introductory Chemistry", Chapter 2 2 Big and Small Numbers Writing large numbers of zeros is tricky and confusing. – Not to mention there’s the 8-digit limit of your calculator! The sun’s diameter is 1,392,000,000 m. An atom’s average diameter is m.

Tro's "Introductory Chemistry", Chapter 2 3 The steps to be taken are: Locate the decimal point Move the decimal point to obtain a number between 1 and Multiply the new number by 10 n. – Where n is the number of places you moved the decimal point x If you moved the decimal point to the left, then n is +; if you moved it to the right, then n is − x 10 4 Writing a Number in Scientific Notation: Example: Write in scientific notation

Tro's "Introductory Chemistry", Chapter 2 4 Writing a Number in Scientific Notation, Continued Locate the decimal point Move the decimal point to obtain a number between 1 and Multiply the new number by 10 n. – Where n is the number of places you moved the decimal point x If you moved the decimal point to the left, then n is +; if you moved it to the right, then n is − x 10 -4

Tro's "Introductory Chemistry", Chapter 2 5 Practice—Write the Following in Scientific Notation

Tro's "Introductory Chemistry", Chapter 2 6 Writing a Number in Standard Form x Since exponent is -6, make the number smaller by moving the decimal point to the left 6 places. – When you run out of digits to move around, add zeros. – Add a zero in front of the decimal point for decimal numbers

Tro's "Introductory Chemistry", Chapter 2 7 Practice—Write the Following in Standard Form 2.1 x x x x x x 10 0