Page 278 - ICSE Math 7

Concepts’ Glimpse

INTEGERS

Integers

Negative Integers 0 Positive Integers
… –3, –2,–1 1, 2, 3, …

Absolute Value Comparison of Integers
Positive integer > 0 > Negative integer

| +a | = a | 0 | = 0 | –a | = a

Identity
Properties of Integers
Property → Closure Commutative Associative
Operation ↓ Property Property Property Additive identity of an Multiplicative identity of
Addition Yes Yes Yes integer ‘a’ is 0, i.e., an integer ‘a’ is 1, i.e.,
Subtraction Yes No No a + 0 = a = 0 + a a × 1 = a = 1 × a
Multiplication Yes Yes Yes Additive Inverse of an integer ‘a’ is (–a), i.e.,
Division No No No a + (–a) = 0 = (–a) + a

FRACTIONS

Classification of Fraction
Types of Fractions Definition Examples

Proper fraction A fraction whose numerator is less than its denominator 5 4
,
6 9
A fraction whose numerator is greater than or equal to its 11 7
Improper fraction ,
denominator 95

3 2
Mixed fraction A fraction which consists of a whole number and proper fraction 2 ,1
5 7

Simple fraction A fraction whose numerator and denominator are integers − 34
,
− 75
3 13
Complex fraction A fraction whose numerator or denominator or both are fractions 5 , 15
7 7
11

5 25
Equivalent fractions Fractions having the same value and
6 30

Like fractions Fractions having the same denominator 1 and 7
4 4
11 7
Unlike fractions Fractions with different denominators and
13 9

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