practice: 1) how many millimeters are in 4 m? determine the possible conversion factors: the two...
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Practice:1) How many millimeters are in 4 m? Determine the possible conversion factors: The two units in this problem are m and mm, if 1 m = 1000 mm (103 mm ), then
or
4 m x = 4 x 103 mm Multiply when
converting from larger to smaller units.(4 000 mm)
Practice:2) How many meters are in 54 cm? Determine the conversion factors: The two units in this problem are m and cm, & 1 m = 100 cm, then
or
54 cm x = 0.54 m Divide when converting
from smaller to larger units.
Giga (G) ---------- 109
Mega (M) --------- 106
Kilo (k) ----------- 103
Hecto (h) --------- 102
Deca (da) --------- 101
BASE UNIT (m,L,g,etc)Deci (d) ---------- 10-1
Centi (c) ---------- 10-2
Milli (m) ---------- 10-3
Micro (μ) --------- 10-6
Nano (n) --------- 10-9
Pico (p) --------- 10-12
Practice:3) How many decaliters are in 3 kiloliters? Determine the possible conversion factors: The two units in this problem are daL and kL. 1 kL = 102 daL (because 103-1 = 102 ).
or
3 kL x = 3 x 102 daL Multiply when
converting from larger to smaller units.( 300 daL)
Practice:4) How many nanograms are in 25 decigrams? Determine the possible conversion factors: The two units in this problem are ng and dg. 1 dg = 108 ng (because 10-1-(-9) = 10-1+9 = 108).
or
25 dg x = 25 x 108 ng Multiply when
converting from larger to smaller units.= 2.5 x 109 ng
Practice:4) How many decigrams are in 25 nanograms? Determine the possible conversion factors: The two units in this problem are ng and dg. 1 dg = 108 ng (because 10-1-(-9) = 10-1+9 = 108).
or
25 ng x = 25 x 10-8 dg Divide when converting
from smaller to larger units.= 2.5 x 10-7 dg
Giga (G) ---- 109
Mega (M) --- 106
Kilo (K) ----- 103
Hecto (h) --- 102
Deca (da) --- 101
BASE UNITDeci (d) ---- 10-1
Centi (c) ---- 10-2
Milli (m) ---- 10-3
Micro (μ) --- 10-6
Nano (n) --- 10-9
Pico (p) ---- 10-12
Multiply
Divide
Shift
the
deci
mal
poi
nt to
the
right
Shift
the
deci
mal
poi
nt to
the
left
Measurement and SI Units:
Meter (m) for lengthLiter (L) for volumeGram (g) for massSecond (s) for timeKelvin (K) for temperatureJoule (J) for energy
Base units
Derived units are “built” from SI units:
m2
Ex. How can you calculate de area of the football field?How can you calculate de volume of this classroom?
area
volumem3 ; cm3
densityg/cm3
Converting Units:
1 cm = 10 mm
1 cm3 = 101x3 mm3 = 103 mm3
1 cm2 = mm2 101x2 = 102 mm2
1 m = 103 mm
1 m3 = mm3 103x3 = 109 mm3
(1 000 mm3)
(100 mm2)
(1 000 000 000 mm3)
Arithmetic with units:In addition or subtraction the units should be the same: 2 kg + 3 kg = 5 kg 412 m - 12 m = 400 m
3.001 kg + 112 g =
3.001 kg + 0.112 kg = 3.113 kg
4.314 Gm - 0.002 Gm4.314 Gm - 2 Mm = = 4.312 Gm
Arithmetic with units:In multiplication or division: the units must be multiplied or divided too: 3 m × 3 m =
Then, units may cancel: 5 g / 10 g =
9 m2
98 kg m/s2 10 kg x 9.8 m/s2 =
0.5 (no units)
10.00 m/s x 39.37 in/m = 393.7 in/s
Temperature in SI units:
K = oC + 273 oC = K - 273
Temperature in Fahrenheit:
F = 1.8 x oC + 32
oC =
Temperature in SI units:The difference in the two Scales (Celsius, °C & Kelvin, K) is their zero point: - The zero point in Celsius is the freezing point of water. - The zero point on the Kelvin scale is absolute zero. 00 K = - 273°C. (Absolute zero (zero K) is the coldest temperature theoretically possible). You can convert between Kelvin and Celsius by using either of the following equations:
K = oC + 273 oC = K - 273