Composite Mathematics For Class 8 Solutions Chapter 1
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In Mathematics, numbers play a vital role. In everyday life also numbers play a big role. In the early days, people count herds using stone or sticks. They improved by using finger counting. Then after they give the numbers as a name that is zero(0) for nothing, one object for digit 1, and so on…
Numbers are of different types
- Counting numbers (Natural numbers)- The numbers that used for counting are known as counting or natural numbers.
Ex- 1, 2,3,………….
2. Whole Numbers- consists of natural numbers and 0. The whole number starts with zero(0).
Ex- 0,1,2,3,………….
3. Integers- Integers are positive and Negative.
Positive integers are having a plus sign.
Ex- 1,2,3….
Negative Integers are having a minus sign.
Ex- -1,-2,-3,…………
Rational Number- it is of the form
Positive Rational Number- If the Numerator and denominator of a rational number are of the equal sign, then it is a positive rational number.
Negative Rational Number- If the Numerator and denominator of a rational number are of a different sign, then it is a negative rational number.
Composite Mathematics Class 8 Chapter 1
v) The rational number which is neither positive nor negative is …………….
Solution- Zero is neither positive nor negative
2. Answer True(T) or False (F).
i)Every rational number is a whole number.
Solution- False as 2=2/1 is a whole number but 1/2 is not a whole number.
ii) 0 is the smallest rational number.
Solution- No as the negative rational number is less than zero.
iii) Every fractional number is a rational number.
Solution- Yes
But the rational number is not a fractional number as a negative rational number is not a fractional number
Comparison Of Rational Numbers
iv) 0……….(-3)/(-8)
Solution- we know zero is always less than every positive rational number
And zero is less than every negative rational number.
Absolute Value Of a Rational Number
Ordering of Rational numbers
Composite Mathematics Class 8 Solutions Pdf
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Properties of Addition Of RationalNumbers
- Closure Property-
2. Commutative Property-
3. Associative Property-
4. Additive Identity-
5. Additive Inverse -
Properties Of Subtraction of Rational Numbers
- Closure Property-
2. Commutative Property-
3. Associative Property -
SK Gupta Anubhuti Gangal Class 8 Solutions
v) While Subtracting three or more rational numbers, they can be grouped in any order.
Solution- False As Subtraction is not associative in Rational number.
Addition of Rational numbers
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Self Practice 1(C)
Division of Rational Numbers
Composite Mathematics Class 8 Chapter 1
Find Rational Numbers Between two given rational numbers
9. Answer True or false
a) Between any two distinct integers there is always an integer
Solution- true
b) Between any two distinct rational numbers, there is always a rational number.
Solution- True
c) Between any two distinct rational numbers, there are infinitely many rational numbers.
Solution- True
Composite Mathematics for Class 8 by SK Gupta Solutions
Word Problems On Rational Numbers
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Composite Mathematics for Class 8 By SK Gupta Solutions
Chapter Test Questions
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