chapter I notes
exercise IA
->
metric prefix
table
I
prefix symbol factor 10
of standard for m
ter a T 1000000000000 180'2 I trillion
giga G 1000000000 109 billion
I
mega M 1000000 105 I million
ki18 R 1000 103 I thousand
heato n 100 102 hundred
I
de 2 A d4 10 18 I ten
18-1
P
deC1 d 0.1 te n t h
I
2
cent i
-
C 0.0 I 10 hundreth
I
milli m
0.00 I 10-3 thousandth
I
6
M
-
mic wo 0.00000 I 10 millionth
I
9
billionth
-
4948 H 0.000000001 10 I
examples:
conver t 2 hours into microseconds
= 2 x 60 (60 minutes in an hour)
=120 60760
x
seconds in a minute)
=7200 x 106 (seconds into microseconds)
=7.2 x 109 (putworking into scientific notation)
conver t 50000000000 milligrams (mg) to tonnes (H)
=50000000000 my 500000009
= (1000 mg in a gram)
-1800
-
500000009 50000 (1000g kilogram)
=
by in a
1000
-
=50000kg =
50+(1000 by in a toune)
1000
=
1000x1000 1000 YL 1000
x1000 x x x x 60
x 60 x 1000 x 1000
x
ene
TB GB MB kb B day hour min Sms is us
-
-1000 1000
= =
1000 :
1000 :
=24 -60 =60 1000
= 1000
; 1000
, chapter 1
notes
exercise IB
->
accuracy is the measure of how true the measure is to the 'real' one, whereas precision
is the ability to obtain the same o ve r
result and over again
->
the limits of accuracy a re
given by:
upper limit = measurement + 0.5x unit
smallest of measurement
lower limit =measurement-0.5 x smallestunit
of measurement
give the limits of accuracy for these measurements
a) 72cm
bound:72 0.5 x 1 cm
+
upper
=
12.5 am
lower bound:72-0.5 1cm
x
=71.5cm
=71.5cm to 72.5cm
b) 18.65 m
upper bound:18.65 0.5
+
x 0.01
-18.685m
=
lower bound:18.65-0.5 0.0 1
x
=
18.645m
Janis measures each side of a square as 6cm. Find:
a) the upper and lower limits for the sides of the square
b) the limits for the perimeter of
upper and lower the square
a) he upper and lower limits for the squares area
a) the limits =610.5 x 1
5.5cm 6.5cm
=
to
b) perimeter
limit 4 x 5.5 22cm
=
lower =
upper limitperimeter 4
= x 6.5 26cm
=
a) lower limit 5.52
=
30.25cm2
=
upper limit 6.52
=
42.25cm2
=
exercise IA
->
metric prefix
table
I
prefix symbol factor 10
of standard for m
ter a T 1000000000000 180'2 I trillion
giga G 1000000000 109 billion
I
mega M 1000000 105 I million
ki18 R 1000 103 I thousand
heato n 100 102 hundred
I
de 2 A d4 10 18 I ten
18-1
P
deC1 d 0.1 te n t h
I
2
cent i
-
C 0.0 I 10 hundreth
I
milli m
0.00 I 10-3 thousandth
I
6
M
-
mic wo 0.00000 I 10 millionth
I
9
billionth
-
4948 H 0.000000001 10 I
examples:
conver t 2 hours into microseconds
= 2 x 60 (60 minutes in an hour)
=120 60760
x
seconds in a minute)
=7200 x 106 (seconds into microseconds)
=7.2 x 109 (putworking into scientific notation)
conver t 50000000000 milligrams (mg) to tonnes (H)
=50000000000 my 500000009
= (1000 mg in a gram)
-1800
-
500000009 50000 (1000g kilogram)
=
by in a
1000
-
=50000kg =
50+(1000 by in a toune)
1000
=
1000x1000 1000 YL 1000
x1000 x x x x 60
x 60 x 1000 x 1000
x
ene
TB GB MB kb B day hour min Sms is us
-
-1000 1000
= =
1000 :
1000 :
=24 -60 =60 1000
= 1000
; 1000
, chapter 1
notes
exercise IB
->
accuracy is the measure of how true the measure is to the 'real' one, whereas precision
is the ability to obtain the same o ve r
result and over again
->
the limits of accuracy a re
given by:
upper limit = measurement + 0.5x unit
smallest of measurement
lower limit =measurement-0.5 x smallestunit
of measurement
give the limits of accuracy for these measurements
a) 72cm
bound:72 0.5 x 1 cm
+
upper
=
12.5 am
lower bound:72-0.5 1cm
x
=71.5cm
=71.5cm to 72.5cm
b) 18.65 m
upper bound:18.65 0.5
+
x 0.01
-18.685m
=
lower bound:18.65-0.5 0.0 1
x
=
18.645m
Janis measures each side of a square as 6cm. Find:
a) the upper and lower limits for the sides of the square
b) the limits for the perimeter of
upper and lower the square
a) he upper and lower limits for the squares area
a) the limits =610.5 x 1
5.5cm 6.5cm
=
to
b) perimeter
limit 4 x 5.5 22cm
=
lower =
upper limitperimeter 4
= x 6.5 26cm
=
a) lower limit 5.52
=
30.25cm2
=
upper limit 6.52
=
42.25cm2
=
