Exercise: 1-A
Q1: Write all integers between:
i. -9 and -3
Integers between -9 and -3:
-8, -7, -6, -5, -4
ii. -33 and -26
Integers between -33 and -26:
-32, -31, -30, -29, -28, -27
iii. -5 and 2
-4, -3, -2, -1, 0, 1
iv. -1 and 6
0, 1, 2, 3, 4, 5
Q2: Compare the integers:
i. -16 and -61
-16 > -61, because -16 is closer to zero.
-16 > -61
ii. -39 and 13
A negative number is always less than a positive.
-39 < 13
iii. -236 and -362
-236 is greater as it’s less negative.
-236 > -362
iv. -2 and 0
Zero is greater than all negative integers.
-2 < 0
Q3: Evaluate:
i. 20 – |-11|
= 20 – 11 = 9
ii. |-23| – |-16|
= 23 – 16 = 7
iii. |-137| + |13|
= 137 + 13 = 150
iv. 6 – |-4|
= 6 – 4 = 2
Q4: Arrange the following integers in ascending order:
i. -9, 11, -23, 41, -37, 0, -5
= -37, -23, -9, -5, 0, 11, 41
ii. -31, 19, -50, -8, -23, 3, 8
= -50, -31, -23, -8, 3, 8, 19
iii. -2, 12, -43, 31, 7, -35, -10
= -43, -35, -10, -2, 7, 12, 31
Q5: Arrange the following integers in descending order:
i. -24, 16, -40, -5, -13, 6, -1
= 16, 6, -1, -5, -13, -24, -40
ii. 0, -7, 19, -23, -3, 8, 46
= 46, 19, 8, 0, -3, -7, -23
iii. -31, -13, -49, 4, 37, -9, -52
= 37, 4, -9, -13, -31, -49, -52
Q6: Fill in the blanks
i. 0 is greater than every _______ integer.
Step 1: Negative integers are less than 0.
Step 2: Therefore, 0 is greater than any negative integer.
Answer: negative
ii. Every negative integer is less than every ________ integer.
Step 1: Negative integers are always less than 0.
Step 2: Positive integers are greater than 0.
Step 3: Hence, every negative integer is less than any positive integer.
Answer: positive
iii. For any positive integers a and b, if a < b, then -a ________ -b.
Step 1: Given: a < b, and both are positive.
Step 2: Then, -a > -b (as on the number line, the negative of a smaller number is greater).
Example: a = 3, b = 5 ⇒ a < b
Then -a = -3, -b = -5 ⇒ -3 > -5
Answer: greater than
iv. Modulus of a negative integer is always ________.
Step 1: Modulus means absolute value (distance from 0).
Step 2: Modulus of a negative number is its positive value.
Example: |-7| = 7
Answer: positive
v. The largest negative integer is ________.
Step 1: Among all negative integers, -1 is closest to 0.
Step 2: Hence, it is the largest negative integer.
Answer: -1
vi. The smallest positive integer is ________.
Step 1: The first number after 0 in the set of positive integers is 1.
Step 2: So, 1 is the smallest positive integer.
Answer: 1
