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Transcript
Dr. Hj. Euis Eti Rohaeti, M.Pd
PERTEMUAN-3
SAYING MATHEMATICAL
SYMBOLS
(Membaca dan Memahami
Simbol-simbol matematika)
MATH
SYMBOLS
MEANINGFUL
MATHEMATICS
STATEMENT
≡
≅
∼
≠
≤
≥
∧
∨
∀
∃
identically equal
congruent with
approximately
not equal to
less than or equal to
greater than or equal to
logical and
logical or
for all
there exists
MATH
SYMBOLS
MEANINGFUL
MATHEMATICS
STATEMENT
Σ
∠
N
Z
R
∅
∞
x∈X
x∉ X
ary summation
angle
the set of natural numbers
the set of whole numbers (integers)
the set of real numbers
an empty set
an infinity sign
an element x belongs to a set X
an element x doesn’t belong to
a set X
MATH
SYMBOLS
MEANINGFUL
MATHEMATICS
STATEMENT
X⊂Y
X∪Y
X∩Y
+
−
a set X is a subset of a set Y
a union of sets X and Y
an intersection of sets X and Y
plus sign/added by
minus sign/subtracted by
MATH
SYMBOLS
MEANINGFUL
MATHEMATICS
STATEMENT
×
÷
√
⊥
π
!
∫
[a,b]
multiplication/multiplied by
division/divided by
square root/radical sign
orthogonal to/perpendicular
pi = 3,14159…
factorial
∫integral
a numerical sign
HOW TO SAY NUMBERS
( Cara Mengucapkan Bilangan)
Number forms
1 digit numbers
2 digit numbers
Number forms in English
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 zero, one, two, three,
four,five, six, seven, eight,
nine
10, 11, 12, 13, 14, 15,
ten, eleven, twelve, thirteen,
16,17, 18, 19
fourteen, fifteen, sixteen,
seventeen, eighteen,
nineteen
20, 30, 40, 50, 60, 70,
80,90
twenty, thirty, forty, fifty,
sixty, seventy, eighty, ninety
3 digit
100, 300, 500, ...
one hundred, three hundred,
five hundred, ...
4 digit numbers
2000, 4000, …
two thousand, four
thousand,...
5 digit numbers
Number forms
Number forms in
English
10 000, 30 000,
...
ten thousand, thirty
thousand,...
6 digit numbers
300 000
7 digit numbers
5 000 000
five million
8 digit numbers
30 000 000
thirty million
9 digit numbers
500 000 000
five hundred million
10digit numbers 2 000 000 000
three hundred
thousand
two billion
HOW TO SAY
ORDINAL NUMBERS
( Cara Mengucapkan Bilangan
Ordinal)
Ordinal numbers
Word
1
2
3
4
5
6
7
8
9
10
first
second
third
fourth
fifth
sixth
seventh
eight
ninth
Tenth
Abbreviation
1st
2nd
3rd
4th
5th
6th
7th
8th
9th
10th
HOW TO SAY
NUMBER COMBINATION
( Cara Mengucapkan Kombinasi
Bilangan)
Numbers
47
683
3562
Break down
English
Expression
Equal (=) 40 + 7 ‘forty seven’
‘six
Equal (=) 600 + hundred and
80 + 3
eighty three’
Equal (=) 3000 + ‘three
500 +
thousand five
60 + 2
hundred and
sixty
two
HOW TO SAY
NUMBERS WITH DECIMAL POINT
( Cara Mengucapkan Bilangan Desimal)
Numbers
3.7
58.4
5.84
Break down
English
Expression
Equal (=) 3 + 0.7 ‘Three point
seven’
Equal (=) 50 + 8 + ‘Fifty eight point
0.4
four’
Equal (=) 5 + 0.84 ‘Five point eight
four’
HOW TO SAY FRACTION
( Cara Mengucapkan Pecahan
Math Expression
English Expression
Penyebut
Pembilang
37/5
3/7
A numerator
A denominator
Thirty seven over five
Three over seven
Math Expression
(Special Fraction)
1/2
1/3
2/3
1/4
¾
1/5
3/5
English Expression
(Some fraction have a
designated name, but the
value of numerator
should not more than the
value of denominator)
half
one-third
Two-thirds
One-quarter
Three-quarters
One-fifth
Three-fifths
HOW TO SAY MATHEMATICAL
EXPRESSION
( Cara Mengucapkan Pernyataan
Matematika)
Math Expression
English Expression
25 + 352 = 377
Twenty five plus three hundred
and fifty two
is three hundred and seventy
seven
45 – 56 = -11
Forty five minus fifty six is
negative eleven
Three multiplied by seven is
twenty one
Twenty four divided by six is
four
Four raised to the power of
three is sixty four or four cubed
is sixty four.
3 × 7 = 21
24 : 6 = 4
4^3 = 64
5^2 =25
Five raised to the power of to is
Math Expression
𝟔𝟐𝟓 = 25
𝟑
𝟔𝟒 = 4
𝟓
𝟑𝟐= 2
x + y = 12
x = y – 10
x<y+3
English Expression
The square root of six
hundred and twenty five is
twenty five
The cube root of sixty four is
four or the third root of
sixty four is four
The fifth root of thirty two is
two
x plus y is twelve
The value of x is equal to the
value of y minus ten
The value of x is less than
the value of y plus three