QUICK REVISION 02
Chapters:- Rational numbers, Algebraic expression , Exponents and powers
(Revise First page of every chapter
important points and results)
CHAPTER – RATIONAL NUMBERS
TYPE 1 Define Rational number.
Rational number are
those numbers which can be expressed in the form of p/q , where q is not equal
to 0.
TYPE 2 Positive and negative
number
Q. Find the positive and negative number
1/5, 6/7, -4/5
TYPE 3 Standard form (reduced/Simplest
form)
Q1 Reduced -35/40
,-48/36 and 5/20 in standard form
TYPE 4 Generate equivalent
rational numbers
Q1 Write 4 rational number equivalent to 5/7
TYPE 5 Comparing rational numbers
Q1 Arrange the following rational number in ascending order
4/7, 5/8,
6/7
Q2.Write five rational number between ½ and 1/3
TYPE 6 Represent rational
numbers on number line
Q1 Represent 3/5 and -3/5 on number line.
TYPE 7 Operations on rational
number i.e addition,subtraction,multiply and divide
Solve
i)
¼ +2/6
ii)
2/6-5/7
iii)
2/9 x 5/11
iv)
Divide 6/14 by 9/12
TYPE 8 Additive inverse of
rational number
Additive
inverse of x /y is – x/y
Q. Find the additive inverse of 4/11
Ans
:- The additive inverse of 4/11 is -4/11
Practice questions(integers) from Math’s
Exemplar
|
S.no
|
Example/Question no
|
Page No
|
|
1
|
12
|
239
|
|
2
|
14
|
240
|
|
3
|
10
|
235
|
|
4
|
68
|
248
|
|
5
|
72
|
248
|
|
6
|
86
|
250
|
|
7
|
95
|
251
|
|
8
|
99
|
252
|
|
9
|
100
|
252
|
|
10
|
93
|
251
|
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CHAPTER – ALGEBRAIC
EXPRESSION
TYPE 1 Understand variable,
Constant, terms, factors and coefficients
2x+ 4y +6
Variable is x and y
Constant is 6
Terms are 2x , 4y and 6 ( 3 terms )
Coefficient of x is 2 and coefficient of y is 4
TYPE 2 Types of polynomial
i)
Monomial – single term eg. 2x
ii)
Binomial – Two terms eg. 2x + 4y
iii)
Trinomial – three terms eg. 2x + 4y + 3
TYPE 3 Like and unlike terms
Like terms:- These are the terms whose variable (other name of variable is literals)
factor are the same. Eg. 2x2
, -6x2
UnLike terms:- These are the terms whose variable (other name of variable is literals)
factor are the different. Eg. 2x2
, -6y2
TYPE 4 Addition/Subtraction of
like terms
Q1 Add 4x + 3y -5z , -7z +5x – 8y and –y-3x +2z
Q2 Subtract 4a+3b-6 from 10a +7b-11
TYPE 5 Find the value of the
expression
Q1 Find the value if a+2, b= -1 and c=1
a2 + b2 +c2 – ab – bc –ca
(base)Power – if base and power is positive then value is always
positive whereas if base is negative , value is depends on power i.e if power
is odd then value is always negative and
if power is even then value is always positive
Practice questions(integers) from Math’s
Exemplar
|
S.no
|
Example/Question no
|
Page No
|
|
1
|
13
|
309
|
|
2
|
15
|
310
|
|
3
|
53
|
318
|
|
4
|
56
|
318(b,e part
|
|
5
|
57
|
320 (c, d,e part)
|
|
6
|
58
|
321 (d,g,j part)
|
|
7
|
59
|
321 (a part)
|
|
8
|
61
|
321
|
|
9
|
65
|
322
|
|
10
|
71
|
322
|
*********************************
CHAPTER – EXPONENTS
AND POWERS
TYPE 1 Base and power
What is base and power of 26
TYPE 2 Express as a power
Q1 Express 625 as a power and write its base and power
TYPE 3 Simplify
Q1 ( -4 )3 x (-10)5
TYPE 4 Laws of exponents
On first page on chapter (Maths exemplar)
TYPE 5 Standard form
Q1 Write in standard form
35494.8
TYPE 5 Usual
form
Q1 Write in usual form 9563.42 x 106
TYPE 5 Additive inverse
Write the additive inverse of 3/7
Practice questions(integers) from Math’s
Exemplar
|
S.no
|
Example/Question no
|
Page No
|
|
1
|
10
|
335
|
|
2
|
11
|
335
|
|
3
|
12
|
335
|
|
4
|
67
|
343
|
|
5
|
69
|
343
|
|
6
|
72
|
343 (part b,d,f)
|
|
7
|
73
|
344
|
|
8
|
82
|
345
|
|
9
|
84
|
345 (b,e part)
|
|
10
|
85
|
346( c,f,g part)
|
*These are minimum learning /practice questions .
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