Question 1.
Compare the following numbers.
Solution:
i. 7, -2
If a and b are positive numbers such that a < b, then -a > -b.
Since, 2 < 7 ∴ -2 > -7
![Maharashtra Board Class 8 Math Chapter 1 Chapter 1 Rational and Irrational Numbers Practice Set 1.2 Solution 2 word image 198](https://mhboardsolutions.xyz/wp-content/uploads/2022/08/word-image-198.png)
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
Here, the denominators of the given numbers are not the same.
LCM of 8 and 4 = 8
Here, the denominators of the given numbers are not the same.
LCM of 15 and 5 = 15
Here, the denominators of the given numbers are not the same.
LCM of 11 and 4 = 44
Questions and Activities
Question 1.
Verify the following comparisons using a number line. (Textbook pg. no, .3)
Solution:
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