Slide Ini dibuat untuk memenuhu salah satu Tugas Mata Kuliah Bahasa Inggris Program studi. Pend. Matematika di FKIP Universitas Singaperbangsa Karawang...
By. Panggita Inoprasetyo
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
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Division and rational number
1.
2. Division and rational number. Any two integers have
such that xq = y. The process for finding q when three
such an integer is called division, and q is called the
quotient. Since division is not always possible in the
set of integers, it is advantageous to create a larger
set of number which division is possible in more
casess. The number which are introduced for this
prpose are the fractions, and the union of the set of
fractions and the set of integers is the set of rational
number
3. Division is splitting into
equal parts or groups.
It is the result of "fair
sharing".
5. We use the Ă· symbol,
or sometimes
the / symbol to
mean divide:
12 Ă· 3 = 4
12 / 3 = 4
Ă·/
6. Division is
the opposite of
multiplying.
When we know
a multiplication
fact we can
find a division
fact:
Example: 3 Ă 5 =
15, so 15 / 5 = 3.
Also 15 / 3 = 5.
7. Multiplication...
...Division
3 groups of 5 make 15... so 15 divided by 3 is 5
and also:
5 groups of 3 make 15... so 15 divided by 5 is 3.
So there are four related facts:
3 Ă 5 = 15
5 Ă 3 = 15
1a5 / 3 = 5
15 / 5 = 3
9. There are special
names for each
number in a
division:
dividend Ă· divisor
= quotient
Example: in 12 Ă· 3 = 4:
12 is the dividend
3 is the divisor
4 is the quotient
10. Example: There are 7 bones But 7 cannot be divided exactly
into 2 groups,
to share with 2 pups.
so each pup gets 3 bones,
but there will be 1 left over:
Hahahaha...
:D
11. A Rational Number is a real
number that can be written
as a simple fraction (i.e. as
a ratio).
Example:
1.5 is a rational number because 1.5 = 3/2 (it can be written as a fraction)
14. More formally we would say:
A rational number is a
number that can be in the
form p/q
where p and q are integers a
nd q is not equal to zero.
So, a rational number can be:
p
q
16. The ancient greek mathematician Pythagoras believed that
all numbers were rational (could be written as a fraction), but
one of his students Hippasus proved (using geometry, it is
thought) that you could not represent the square root of 2 as
a fraction, and so it was irrational.
However Pythagoras could not accept the existence of
irrational numbers, because he believed that all numbers had
perfect values. But he could not disprove Hippasus' "irrational
numbers" and so Hippasus was thrown overboard and
drowned!