Rational and Irrational Numbers | Practice set 1.2

1. Compare the following numbers.
(1) -7, -2

Explanation :

➥ To Compare the two numbers we use the symbols <, =, >. (‘<‘ : Less than, ‘=’ : Equal and ‘>’ : Greater than)
➦ To Compare the two numbers, first identify the numbers if positive or negative.
➥ As we saw in the previous section that on a number line, positive numbers are on the right side of the ‘0’ (zero) and negative numbers are on the left side.
➦ Numbers are increases towards the right side and decrease on the left side of the zero.
➥ So -2 is greater than -7

Ans : ∴ -7 < -2.

(2) 0,	−9
	5

Explanation :

➠ Zero ‘0’ is always greater than negative numbers.
➠ Positive numbers are always greater than negative numbers.

Ans : ∴ 0 >	−9
	5

(3)	8	, 0
	7

Explanation :

➠ Positive numbers are always greater than 0.

Ans : ∴	8	> 0
	7

(4)	−5	,	1
	4		4

Explanation :
➠ Positive numbers are always greater than negative numbers .

Ans : ∴	−5	<	1
	4		4

(5)	40	,	141
	29		29

Explanation :
➠ 40 is less than 141 so.

Ans : ∴	40	<	141
	29		29

(6)	−	17	,	−13
		20		20

Explanation :
➠ −17 is less than − 13 so.

Ans : ∴	−	17	<	−13
		20		20

(7)	15	,	7
	12		16

Ans :	15	=	15 × 4	=	60	;
	12		15 × 4		48

	7	=	7 × 3	=	21	;
	16		16 × 3		48

Now 60 is greater than 21 so :

60	>	21
48	>	48

∴	15	>	7
	12		16

(8)	−25	,	−9
	8		4

Ans : ∴	−25	<	−9
	8		4

(9)	12	,	3
	15		5

Ans :	12	>	3
	15		5

(10)	−7	,	−3
	11		4

Explanation :
While comparing two fractions we have to check following points ➥ Check the fraction is positive or negative.
➠ Then check the denominator is equal or not.
➥ If denominator is equal then compare with numerator number.
➠ If denominator is not equal then make it equal by multiplying or devising.

Ans :	−7	=	−7 × 4	= −	28	,
	11		11 × 4		44

−3	=	−3 × 11	= −	33	,
4		4 × 11		44

−	28	>	−	33
	44			44

−	7	>	−	3
	11			4

Rational and Irrational Numbers | Practice set 1.2

Eighth Standard : Maths

Lesson No.1

➦ Practice Set 1.1
➥ Practice Set 1.2
➦ Practice Set 1.3
➥ Practice Set 1.4

इतर लिंक्स :
➥ मराठी रंग :
➦ विशेषण व विशेषणाचे प्रकार
➥ सर्वनामाचे प्रकार

Rational and Irrational Numbers | Practice set 1.2