DEGREES OF COMPARISON
1.
Read the following text.
SOMETHING ABOUT MATHEMATICAL
SENTENCES
A
mathematical sentence containing an equal sign is an equation. The two parts of
an equation are called its members. A mathematical sentence that is either true
or false but not both is called a closed sentence. To decide whether a closed
sentence containing an equal sign is true or false, we check to see that both
elements, or members of the sentence name the same
number. To decide whether a closed sentence containing an 
sign
is true or false, we check to see that both elements do not name the same number.
The
relation of equality between two numbers satisfies the following basic axioms
for the numbers 
and 
.
Reflexive : 
.
Symmetric: If 
then
.
Transitive: If and 
then 
.
While
the symbol 
in an
arithmetic sentence means is equal to
, another symbol
,
means is not equal to . When an sign
is replaced by sign,
the opposite meaning is implied. (Thus 
is
read eight is equal to eleven minus three while 
is
read nine plus six is not equal to
thirteen .)
The
important feature about a sentence involving numerals is that it is either true
or false, but not both . There is
nothing incorrect about writing a false sentence, in fact in some mathematical
proofs it is essential that you write a false sentence.
We
already know that if we draw one short line across the symbol we
change it to . The
symbol
implies either of two things is greater than or is less than . In other words the sign in 
tells
us only that numerals 
and 
name
different
numbers,
but does not tell us which numeral names the greater or the lesser
of the two
numbers.
To
know which of the two numbers is greater let us use the conventional symbol 
and 
means
is less than while 
means
is greater than . These are
inequality symbols because they indicate order of numbers. (
is
read six is less than seven, 
is
read twenty nine is greater than three). The signs which express equality or
inequality 
are
called relation symbols because they indicate how two expressions are related.
2.
Work the expression like the example
Express
the symbol 
in arithmetical sentences.
Example: 
: Is
equal to 
?
No,
is
greater than .
a.
b.
c.
d.
3.
Grammar questions
When
do you use –er
/
–est
–ier / –iest
?
more / most
When
do you use as
… as
as many … as
as much … as
the same … as
?
similar to
the same
When
do you use not
as … as
… –er than
more … than
?
fewer … than
For
all item, give the example.
4. Write the comparative and superlative of the
words below.
new tiny common
bad
soon shallow gentle little
convenient clever badly
many
easily
complex good much
5. Write the words in brackets in the correct
form of the degrees of comparison.
a.
We all use this method of research because it is ………………. (interesting) the one we followed.
b.
I could solve quicker than he because the equation given to me
was……….(easy) the one he was given.
c.
The remainder in this operation of division is …………….. (great) than 1.
d.
The name of Leibnitz is …………….. (familiar) to us as that of Newton.
e.
Laptops are ……………………. (powerful) microcomputers. We can choose either of them.
f.
A mainframe is……… (large) and…………..(expensive) a microcomputer.
g.
One of the ………… (important) reasons why computers are used so widely
today is that almost every big problem can be solved by solving a number of little
problems.
h.
Even the ………….(sophisticated) computer, no matter how good it is,
must be told what to do.
6. Look at the table of word processing packages below and write ten
sentences comparing the products advertised.
Examples: Upword is more expensive than Just Write.
Ami Pro 2.0 has
the largest spell check dictionary.
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