Scientific Notation & Significant Digits

Question 1

Scientific notation

Answer 1

is used to represent very big or very small numbers
a x 10 ^ n
1 <= +a < 10

Question 2

whole number Number to sci. notation

Answer 2

• Place a decimal point (.0) after the whole number
• Move the decimal point over and count up until the first digit
• The number of times it moved is the positive exponent
• 3.65x105

Question 3

decimal Number to sci. notation

Answer 3

• Take the decimal point and move it towards the first digit
• The number of times it moved is the negative exponent
• 2.07x10-5

Question 4

Sci. notation to number with positive exponenet

Answer 4

• Take the decimal point and move it right the # of times the exponent is
• 7 053 200 000

Question 5

Sci. notation to number with negetive exponenet

Answer 5

• Take the decimal point and move it left the # of times the exponent is
• 0.000005462

Question 6

significant digits

Answer 6

• Measured or calculated value
• Can’t be counted or defined number, MUST be measured
• If you can not have an instrument that measures the value it is always going to have an infinite amount of SD
• The digits that are reliably knownand not estimated

Question 7

Determining which digits are significant

Answer 7

• All leading zeros
• 0.00051200 m
• Trailing zeros if a decimal point is not present
• 7 430 000 kg

Question 8

Preserving significant digits in calculations: Multiplying or dividing

Answer 8

• Two or more measurements
• Look at the significant digits of the numbers
• The lowest significant digit is the one you use

Question 9

Preserving significant digits in calculations:Adding or subtracting

Answer 9

• Two or more measurements
• Look at the end decimal places of both the numbers
• The lowest decimal point is the one you chose

Question 10

Multi-Step Calculations

Answer 10

• Dont round anything until the end
• Underline digits that are NOT significant
• Atomic mass does not count but percent abundance does
• No scale is measure it

Question 11

examples of measured units

Answer 11

• mm
• m
• mL
• kg
• kPa
• g
• s
• m/s

NOT u