Significant Figures Box and Dot Method. Step 1  Draw a box around all nonzero digits, beginning with the leftmost nonzero digit and ending with the rightmost.

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Presentation transcript:

Significant Figures Box and Dot Method

Step 1  Draw a box around all nonzero digits, beginning with the leftmost nonzero digit and ending with the rightmost nonzero digit in the number. 

Definitions  Trailing zeros- refers to any and all zeros present to the right of the rightmost nonzero digit.( i.e. to the right of the box drawn in STEP 1)  Leading zeros- refers to any and all zeros present to the left of the leftmost nonzero digit.( i.e. to the left of the box drawn in STEP 1)

Step 2  If dot (aka decimal point) is present, draw a box around any trailing zeros. 

Step 3  Consider any and all boxed digits significant.   How many significant digits?

Significant Figures Calculations

Multiplying and Dividing  The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer.  Multiply or divide  Round

Adding and Subtracting  Add or subtract  Round the answer to the LEAST number of places in the decimal portion of any number in the problem.  The least precise quantity has the fewest digits to the right of the decimal point.