Class 6 Mathematics Sindh Textbook Exercise 4.1 Solved Notes
Welcome to the complete solutions of Class 6 Mathematics (Sindh Textbook Board), Unit 4 – Integers. In this post, you will find easy and step-by-step answers to all the questions given on Exercise 4.1. These solutions are prepared in a simple way so that students can easily understand the concepts of integers, number line, absolute value, and comparison of integers.
Exercise 4.1
Question 1: Represent the following integers on a number line.
(i) −2, −1, 0, +1, +2
←──────────────→
-2 -1 0 +1 +2
(ii) −3, −2, −1, 0, +1, +2, +3, +4
←────────────────────────────→
-3 -2 -1 0 +1 +2 +3 +4
(iii) −4, −3, −2, −1, 0, +1, +2
←────────────────────────→
-4 -3 -2 -1 0 +1 +2
(iv) +5, −5, −4, +3, +1, −2
On the number line, arrange them from left to right:
←────────────────────────────→
-5 -4 -2 +1 +3 +5
Question 2: Decide whether the first number is greater or smaller.
(i) +15, −6
Answer
+15 > -6
The first number is greater.
(ii) −8, 0
Answer
-8 < 0
The first number is smaller.
(iii) +16, 0
Answer
+16 > 0
The first number is greater.
(iv) −2, −8
Answer
-2 > -8
The first number is greater.
(v) +7, +9
Answer
+7 < +9
The first number is smaller.
(vi) −4, −1
Answer
-4 < -1
The first number is smaller.
Question 3: Fill in the blanks from the given options.
(i)
−5 is on left of +6.
Answer: Left
(ii)
+6 is on right of −7.
Answer: Right
(iii)
0 is on right of −15.
Answer: Right
(iv)
0 is on left of 20.
Answer: Left
Question 4: Fill in the blanks using (< or >)
(i)
+10 > -20
(ii)
-16 < -4
(iii)
+25 > -100
(iv)
+30 < +50
(v)
-17 < +17
(vi)
0 > -5
Question 5: Arrange the given integers in ascending and descending order.
(i)
Given:
+5, -7, +1, 0, -3, -1
Ascending Order
-7, -3, -1, 0, +1, +5
Descending Order
+5, +1, 0, -1, -3, -7
(ii)
Given:
-3, +4, 0, -1, +2, +5
Ascending Order
-3, -1, 0, +2, +4, +5
Descending Order
+5, +4, +2, 0, -1, -3
(iii)
Given:
0, -4, +4, -5, +5
Ascending Order
-5, -4, 0, +4, +5
Descending Order
+5, +4, 0, -4, -5
(iv)
Given:
-4, -1, -7, -2, -8
Ascending Order
-8, -7, -4, -2, -1
Descending Order
-1, -2, -4, -7, -8
Question 6: Write the absolute values.
| Integer | Absolute Value |
|---|---|
| −5 | 5 |
| +20 | 20 |
| 0 | 0 |
| −18 | 18 |
| +50 | 50 |
Question 7: Arrange the absolute values in ascending and descending order.
(i)
Given:
-4, +1, -6, +3, 0, +5
Absolute values:
4, 1, 6, 3, 0, 5
Ascending
0, 1, 3, 4, 5, 6
Descending
6, 5, 4, 3, 1, 0
(ii)
Given:
-25, 0, +17, -10, +30, -60
Absolute values:
25, 0, 17, 10, 30, 60
Ascending
0, 10, 17, 25, 30, 60
Descending
60, 30, 25, 17, 10, 0
(iii)
Given:
-20, -10, +11, +7, 0, -4
Absolute values:
20, 10, 11, 7, 0, 4
Ascending
0, 4, 7, 10, 11, 20
Descending
20, 11, 10, 7, 4, 0
(iv)
Given:
+8, -5, +13, -9, -12, +3
Absolute values:
8, 5, 13, 9, 12, 3
Ascending
3, 5, 8, 9, 12, 13
Descending
13, 12, 9, 8, 5, 3
Question 8: Write True or False.
| Statement | Answer |
|---|---|
| (i) Positive integer is always greater than negative integer. | True |
| (ii) 0 is a positive integer. | False |
| (iii) Every negative integer is less than zero. | True |
| (iv) Absolute value of −5 is less than absolute value of +4. | False |
| (v) −5 is smaller than −10. | False |
| (vi) −25 is greater than −100. | True |
| (vii) Numerical value (absolute value) of a number can never be negative. | True |
Conclusion
These are the complete, step-by-step solutions for Class 6 Sindh Textbook Mathematics – Unit 4 (Integers), Exercise 4.1 and Page 72. Students should practice these questions to strengthen their understanding of integers, number lines, comparing integers, ascending and descending order, and absolute value.
