Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Rs Aggarwal Solutions: Exercise 1B - Rational Numbers
Rs Aggarwal Solutions: Exercise 1B - Rational Numbers | Mathematics (Maths) Class 8 PDF Download
Q.1. Represent each of the following numbers on the number line:
(a) 1/3
(b) 2/7
(c) 1(3/4)
(d) 2(2/5)
(e) 3(1/2)
(f) 5(5/7)
(g) 4(2/3)
(h) 8
Solution: (a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Q.2. Represent each of the following numbers on the number line:
Solution:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
Q.3. Which of the following statements are true and which are false?
(i) −3/5 lies to the left of 0 on the number line.
(ii) -12/7 lies to the right of 0 on the number line.
(iii) The rational numbers 1/3 and -5/2 are on opposite sides of 0 on the number line.
(iv) The rational number -18/-13 lies to the left of 0 on the number line.
Solution:
(i) True
A negative number always lies to the left of 0 on the number line.
(ii) False
A negative number always lies to the left of 0 on the number line.
(iii) True
Negative and positive numbers always lie on the opposite sides of 0 on the number line.
(iv) False
The negative sign cancels off and the number becomes 18/13; it lies to the right of 0 on the number line.
The document Rs Aggarwal Solutions: Exercise 1B - Rational Numbers | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Rs Aggarwal Solutions: Exercise 1B - Rational Numbers - Mathematics (Maths) Class 8
| 1. What are rational numbers? |  |
Ans. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be positive, negative, or zero.
| 2. How do we identify rational numbers? | |
Ans. Rational numbers can be identified by their decimal representation. If a decimal terminates or repeats, then it is a rational number. For example, 0.5 (or 1/2) and 0.333... (or 1/3) are rational numbers.
| 3. What are the operations that can be performed on rational numbers? | |
Ans. The four basic arithmetic operations, addition, subtraction, multiplication, and division, can be performed on rational numbers. These operations follow specific rules and properties.
| 4. How can we simplify or reduce rational numbers? | |
Ans. To simplify or reduce rational numbers, we divide both the numerator and denominator by their greatest common divisor (GCD). This results in an equivalent fraction with the smallest possible values for the numerator and denominator.
| 5. How can we compare rational numbers? | |
Ans. To compare rational numbers, we can convert them into a common denominator and then compare their numerators. If the numerators are equal, the rational numbers are equal. If not, we compare the numerators to determine which one is greater or smaller.
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