35.04002 7 sig figs is estimated “2” 250.04 5 sig figs is estimated “4” 806 3 sig figs is estimated “6” Leading zeroes before the first non-zero digit are not significant. Examples: 0.005 1 sig fig (underlined numbers) is estimated “5” 0.0000650 3 sig figs (underlined numbers) is estimated “0” 0.000043 2 sig figs (underlined numbers) is estimated “3” Trailing zeroes to the right of the decimal point are always significant. Examples: 15.00670 7 sig figs is estimated “0” 21.0 3 sig figs is estimated “0” 34.5000 6 sig figs is estimated “0” Trailing zeroes left of the decimal point are ambiguous Examples: 4300 Was this measured to the tens or ones place? 56 000 Was this measured to the hundreds, tens or ones place? 300 Was this measured to the tens or place? one’s These numbers need to be expressed in scientific notation showing the significance. For example, all these ambiguous numbers are expressed with 3 sig figs. 4300 4.30 x 103 is estimated“ “0” 56 000 5.60 x 104 is estimated “0” 300 3.00 x 102 is estimated “0” Counting numbers are exact. There are missing estimated digits and do not affect a significance. calculation’s Examples: A gross of donuts 144 donuts are counted out exactly 3 feet equals 1 yard This is exact by definition 1 in = 2.54 cm This is exact by definition A dozen eggs 12 eggs are counted out -exactly have a 1/10 of (you can’t an egg)
35.04002 7 sig figs “2” is estimated 250.04 5 sig figs “4” is estimated 806 3 sig figs “6” is estimated Leading zeroes before the first non-zero digit are not significant. Examples: 0.005 1 sig fig (underlined numbers) “5” is estimated 0.0000650 3 sig figs (underlined numbers) “0” is estimated 0.000043 2 sig figs (underlined numbers) “3” is estimated Trailing zeroes to the right of the decimal point are always significant. Examples: 15.00670 7 sig figs “0” is estimated 21.0 3 sig figs “0” is estimated 34.5000 6 sig figs “0” is estimated Trailing zeroes left of the decimal point are ambiguous Examples: 4300 Was this measured to the tens or ones place? 56 000 Was this measured to the hundreds, tens or ones place? 300 Was this measured to the tens or one’s place? These numbers need to be expressed in scientific notation showing the significance. For example, all these ambiguous numbers are expressed with 3 sig figs. 4300 4.30 x 103 “0” is estimated“ 56 000 5.60 x 104 “0” is estimated 300 3.00 x 102 “0” is estimated Counting numbers are exact. There are missing estimated digits and do not affect a calculation’s significance. Examples: A gross of donuts 144 donuts are counted out exactly 3 feet equals 1 yard This is exact by definition 1 in = 2.54 cm This is exact by definition A dozen eggs 12 eggs are counted out -exactly (you can’t have a 1/10 of an egg)
Physics%20Student%20Workbook%20WORD.docx