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class 9
| math
Solutions for all the questions from class 9
of subject math
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
circles
complex numbers and quadratic equations
constructions
coordinate geometry
heron's formula
introduction to euclid's geometry
limits and derivatives
linear equations in two variable
lines and angles
number systems
View All ↓
Class 9
Math
All topics
Number Systems
Classify the following numbers as rational or irrational:
(i)
$2−5 $
(ii)
$(3+23 )−23 $
(iii)
$77 27 $
(iv)
$2 1 $
(v)
$2π$
.
Class 9
Math
All topics
Number Systems
State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form
$m $
, where
$m$
is a natural number.
(iii) Every real number is an irrational number.
Class 9
Math
All topics
Number Systems
Express the following in the form
$qp $
, wher
$p$
and
$q$
are integers and
$q=0.$
(i)
$0.6ˉ$
(ii)
$0.47ˉ$
(iii)
$0.001$
Class 9
Math
All topics
Number Systems
Classify the following numbers as rational or irrational:
(i)
$23 $
(ii)
$225 $
(iii)
$0.3796$
(iv)
$7.478478...$
(v)
$1.101001000100001...$
Class 9
Math
All topics
Number Systems
Look at several examples of rational numbers in the form
$qp (q=0)$
, where
$p$
and
$q$
are integers with no common factors other than
$1$
and having terminating decimal representaions (expansions). Can you guess what property
$q$
must satisfy?
Class 9
Math
All topics
Number Systems
Visualise
$4.26$
on the number line, up to
$4$
decimal places.
Class 9
Math
All topics
Number Systems
Show how
$5 $
can be represented on the number line.
Class 9
Math
All topics
Polynomials
Verify:
(i)
$x_{3}+y_{3}=(x+y)(x_{2}−xy+y_{2})$
(ii)
$x_{3}−y_{3}=(x−y)(x_{2}+xy+y_{2})$
Class 9
Math
All topics
Number Systems
Recall,
$π$
is defined as the ratio of the circumference(say c) of a circle to its diameter(say d). That is,
$π=dc $
. This seems to contradict the fact that
$π$
is irrational. How will you resolve this contradiction?
Class 9
Math
All topics
Polynomials
Factorise each of the following:
(i)
$8a_{3}+b_{3}+12a_{b}+6ab_{2}$
(ii)
$8a_{3}−b_{3}−12a_{2}b+6ab_{2}$
(iii)
$27−125a_{3}−135a+225a_{2}$
(iv)
$64a_{3}−27b_{3}−144a_{2}b+108ab_{2}$
(v)
$27p_{3}−2161 −29 p_{2}+41 p$
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class 9
| math
Solutions for all the questions from class 9
of subject math
Filter Results
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
circles
complex numbers and quadratic equations
constructions
coordinate geometry
heron's formula
introduction to euclid's geometry
limits and derivatives
linear equations in two variable
lines and angles
number systems
View All ↓
Class 9
Math
All topics
Number Systems
Classify the following numbers as rational or irrational:
(i)
$2−5 $
(ii)
$(3+23 )−23 $
(iii)
$77 27 $
(iv)
$2 1 $
(v)
$2π$
.
Class 9
Math
All topics
Number Systems
State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form
$m $
, where
$m$
is a natural number.
(iii) Every real number is an irrational number.
Class 9
Math
All topics
Number Systems
Express the following in the form
$qp $
, wher
$p$
and
$q$
are integers and
$q=0.$
(i)
$0.6ˉ$
(ii)
$0.47ˉ$
(iii)
$0.001$
Class 9
Math
All topics
Number Systems
Classify the following numbers as rational or irrational:
(i)
$23 $
(ii)
$225 $
(iii)
$0.3796$
(iv)
$7.478478...$
(v)
$1.101001000100001...$
Class 9
Math
All topics
Number Systems
Look at several examples of rational numbers in the form
$qp (q=0)$
, where
$p$
and
$q$
are integers with no common factors other than
$1$
and having terminating decimal representaions (expansions). Can you guess what property
$q$
must satisfy?
Class 9
Math
All topics
Number Systems
Visualise
$4.26$
on the number line, up to
$4$
decimal places.
Class 9
Math
All topics
Number Systems
Show how
$5 $
can be represented on the number line.
Class 9
Math
All topics
Polynomials
Verify:
(i)
$x_{3}+y_{3}=(x+y)(x_{2}−xy+y_{2})$
(ii)
$x_{3}−y_{3}=(x−y)(x_{2}+xy+y_{2})$
Class 9
Math
All topics
Number Systems
Recall,
$π$
is defined as the ratio of the circumference(say c) of a circle to its diameter(say d). That is,
$π=dc $
. This seems to contradict the fact that
$π$
is irrational. How will you resolve this contradiction?
Class 9
Math
All topics
Polynomials
Factorise each of the following:
(i)
$8a_{3}+b_{3}+12a_{b}+6ab_{2}$
(ii)
$8a_{3}−b_{3}−12a_{2}b+6ab_{2}$
(iii)
$27−125a_{3}−135a+225a_{2}$
(iv)
$64a_{3}−27b_{3}−144a_{2}b+108ab_{2}$
(v)
$27p_{3}−2161 −29 p_{2}+41 p$
1
2
3
4
5
6
7
8
9
10
Previous
page
1 / 15
You're on page
1
page
2
page
3
page
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page
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page
...
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15
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