# Significant Figures and Scientific Notation Flashcards

Adding and Subtracting Using Scientific Notation

+All exponents MUST BE THE SAME before you can add and subtract numbers in scientific notation

+The actual addition or subtraction will take place with the numerical portion, NOT the exponent.

Significant Figures (Sig Figs)

+a number are those digits that carry meaning contributing to its accuracy.

Non-Zero

+Non-zero digits are always significant.

+Example:

- 12.3
- 34918
- 23918439
- 1

Diet Sandwich

+Zeros following a non-zero number and followed by a decimal.

+Example:

- 100.
- 40.

+Non-Examples:

- 100
- 40

Multiplying in Scientific Notation

+To multiply two numbers in scientific notation, multiply their coefficients and add their exponents.

+Convert answer to scientific notation.

Trailing Zeros

+a DECIMAL and nonzero number are significant.

+Example:

- 2.00
- 0.0030
- 2.00x10^9

Sandwich

+All zeros between other significant digits are significant.

+Example:

- 101
- 20003
- 1050505

Divide Using Scientific Notation

+To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.

+Convert answer to scientific notation.