Measurements &amp; Math

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# Measurements & Math - PowerPoint PPT Presentation

Measurements &amp; Math. Exact numbers!. Numbers determined by counting or by definition Ex: 6 apples, 1 teacher 1 inch=2.54 cm. In Science…. Numbers are based on MEASUREMENTS made in the lab. Our data is only as good as the measurements we make and the instruments we use. Qualitative Data.

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## PowerPoint Slideshow about ' Measurements & Math' - breanna-kramer

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### Measurements & Math

Exact numbers!
• Numbers determined by counting or by definition
• Ex: 6 apples, 1 teacher
• 1 inch=2.54 cm
In Science…
• Numbers are based on MEASUREMENTS made in the lab.
• Our data is only as good as the measurements we make and the instruments we use.
Qualitative Data
• Observation that DOES NOT involve a number/measurement
• EX. Presence of odor, color change
Quantitative Data
• Observation that DOES involve a number/measurement (has magnitude size or amount)
• Ex. Length, mass, volume
• Accuracy: how close a measured value is to the actual (true) value.
• Precision: how close the measured values are to each other.
Significant Figures
• Shows how PRECISE a measurement is
• Indicates the QUALITY of the instrument you use (how sensitive or exact)

Counting Significant figures

5 sig figs

• 5432.1
• 0.00032
• 4004
• 82.0000

2 sig figs

4 sig figs

6 sig figs

Scientific Notation
• Used to write really LARGE or really small #’s
• Why? To save space & time
Sci. Notation Rules!
• Written in the form of m x 10n
• m: ≥ 1 AND <10

indicate the number of sig. figs

steps of the scientific notation
• Step 1) Determine the sig figs
• 106,000,000 = 3 sig figs
• Step 2) Determine the value of M using the sig figs
• 1.06 (remember this must be between 1 and 10)
• Step 3) Add the 10’s multiplier
• 1.06 x 10n

Step 4) Determine the value of “n” by counting the number of times you move the decimal in the original number to get the value for “M”

• Step 5) Determine the sign of “n” by looking at the direction that you moved the decimal
• Move decimal to left = “n” is positive
• Move decimal to right = “n” is negative
Now go the other waY!!
• Ex. 1) 7,801
• Ex. 2) 0.00030

7.801 x 103

3.0 x 10-4

Ex. 1) 3.1 x 104

• Ex. 2) 4.08 x 10-6

31,000

0.00000408

SI Units of Measurement
• One system for all scientists around the world
• We must have a standard for comparison

length – meter (m)

mass – kilogram(kg)

time – second (s)

volume – liter (L)

SI prefixes
• Added to base units to represent large or smaller quantities

SI Prefix Unit Abbreviation Exponential Factor

kilo K 103

hecto h 102

deka da 101

BASE m,g,s,L 100

deci d 10-1

centi c 10-2

milli m 10-3

King Henry Died By Drinking Chocolate Milk

Example

10,000

• 10 g = ____________mg?

K h da b d c m

Example
• 14.6 dL= __________ kL