Maharashtra State Board Class 8 Mathematics & Statistics Solutions Chapter 1 Rational and Irrational Numbers Practice Set 1.2 - Digest Answers | Maharashtra Board Solutions

Practice Set 1.2 8th Std Maths Answers Chapter 1 Rational and Irrational Numbers

Question 1 Maharashtra Board Solution

Compare the following numbers. i. 7, -2 ii. 0, iii. , 0 iv. v. vi. vii. viii. ix. x.

Solution & Step-by-Step Answer:

i. 7, -2 If a and b are positive numbers such that a < b, then -a > -b. Since, 2 < 7 ∴ -2 > -7

ii. 0,
On a number line, is to the left of zero.
∴ 0 >

iii. , 0
On a number line, zero is to the left of .
∴ > 0

iv.
We know that, a negative number is always less than a positive number.
∴

v.
Here, the denominators of the given numbers are the same.
Since, 40 < 141
∴

vi.
Here, the denominators of the given numbers are the same.
Since, 17 < 13
∴ -17 < -13
∴

vii.
Here, the denominators of the given numbers are not the same.
LCM of 12 and 16 = 48

Alternate method:
15 × 16 = 240
12 × 7 = 84
Since, 240 > 84
∴ 15 × 16 > 12 × 7

viii.
Here, the denominators of the given numbers are not the same.
LCM of 8 and 4 = 8

ix.
Here, the denominators of the given numbers are not the same.
LCM of 15 and 5 = 15

x.
Here, the denominators of the given numbers are not the same.
LCM of 11 and 4 = 44

Maharashtra Board Class 8 Maths Solutions Chapter 1 Rational and Irrational Numbers Practice Set 1.2 Questions and Activities

Question 1 Maharashtra Board Solution

Verify the following comparisons using a number line. (Textbook pg. no,.3) i. 2 < 3 but – 2 > – 3 ii. but

Solution & Step-by-Step Answer:

We know that, on a number line the number to the left is smaller than the other. ∴ 2 < 3 and -3 < -2 i.e. 2 < 3 and -2 > -3

Chapter 1 Rational and Irrational Numbers Practice Set 1.2 Solutions