Download Prefix abbrev METRIC CONVERSIONS

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Transcript
Metric, rounding, scientific notation
Name_______________________
Period______________________
Prefix abbrev
METRIC CONVERSIONS
Giga (G)
1 Gm = 1 x 10 9 m or 1,000,000,000 m
mega (M)
1 Mm = 1 x 10 6 m 1,000,000 m
kilo
(k)
1 km = 1 x 10 3 m 1,000 m
deka
(da)
1 dam = 10 m
meter, seconds , liters, grams (BASE UNIT) 1m = 100 m
deci
(d)
(1 x 10 -1) m = 1 dm
centi ( c )
(1 x 10 -2) m = 1cm
milli ( m )
(1 x 10 -3) m = 1mm
micro (μ )
( 1 x 10 -6) m = 1 μm
nano
(n)
( 1 X 10 -9) m = 1 nm
pico
(p)
( 1 x 10 -12) m = 1 pm
If you give the bigger unit the one and you will always have positive exponents. Example: 1m =
103 mm
**Metric to English
1 inch = 2.54 cm
Practice: a) 1 mm = _________m b) 1 m = _______cm c) 10 inches = ______ cm
d) 1 m = _______ nm
g) 1 m = _______Gm
e) 1m = _________km
h) 5 Mm = __________m
f) 1 m = _________μm
i) 2 pm = ________m
Rounding Rules: If a number ends in 5 or higher, round up
If a number ends in 4 or lower, round down
Round the following to the nearest one-tenth of a meter:
Ex: 2.45 m round to 2.5m
Ex: 2.43 m rounds to 2.4 m
j) 10.09m
k) 9.51m
Round to the nearest gram.
o) 9.9 g
p) 14.595g
l) 9.995m
q) 84.73g
m) 9.985 m
n) 9.85m
r) 82.495 g
Scientific notation: a given number is written as the product of two numbers
EX: 2.0 x 10 5 grams (a coefficient and an exponent)
* you can only have one number before the decimal, the exponent tells you how many places to
move the decimal, negative exponents are numbers smaller than one, positive exponents are
numbers larger than one
Ex: 2x 10 3 g = 2000g
Ex: 1.20 x 10 -2 g = 0.0120g
Change S-V into scientific notation, W-Z to standard notation.
s) 0.00301 m ____________ t) 310 m____________ u) 0.0000006m ___________
v) 6020000m___________ w) 1.30 x 10-5 m ___________ x) 5.2 x 10 1 m_________
y) 8.9 x 10 -4 m ___________
z) 2.175 x 10 0 m _________________