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

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