CBSE Class 6th ( VI) Mathematics Chapter 6. Integers: Exercise 6.1
Remember
- Every positive integer is larger than every negative integer.
- Zero is less than every positive integer.
- Zero is larger than every negative integer.
- Zero is neither a negative integer nor a positive integer.
- Farther a number from zero on the right, larger is its value.
- Increase in weight
- 30 km north
- 326 BC
- Loss of Rs 700
- 100 m above sea level
| Given Statements | Opposite Statements |
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- An aeroplane is flying at a height two thousand metre above the ground.
- A submarine is moving at a depth, eight hundred metre below the sea level.
- A deposit of rupees two hundred.
- Withdrawal of rupees seven hundred.
- An aeroplane is flying at a height two thousand metre above the ground. ==> + 2000
- A submarine is moving at a depth, eight hundred metre below the sea level. ==> – 800
- A deposit of rupees two hundred. ==> + 200
- Withdrawal of rupees seven hundred. ==> – 700
(a) + 5 (b) – 10 (c) + 8 (d) – 1 (e) – 6
Answer :
4. Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points :
| (a) If point D is + 8, then which point is – 8? (b) Is point G a negative integer or a positive integer? (c) Write integers for points B and E. (d) Which point marked on this number line has the least value? (e) Arrange all the points in decreasing order of value. |  |
| Answer: (a) F (b) negative integer (c) B → + 4, E → – 10 (d) E F (e) D, C, B, A, O, H, G, F |  |
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Places Temperature | integers Form |
| Siachin 10°C below 0°C | – 10°C |
| Shimla 2°C below 0°C | –2°C |
| Ahmedabad 30°C above 0°C | + 30°C |
| Delhi 20°C above 0°C | + 20°C |
| Srinagar 5°C below 0°C | – 5°C |
Answer:
(c) Which is the coolest place?
Answer: Siachin
(d) Write the names of the places where temperatures are above 10°C.
Answer: Delhi +20°C and Ahmedabad +30°C
6. In each of the following pairs, which number is to the right of the other on the number line?
(a) 2, 9
(b) – 3, – 8
(c) 0, – 1
(d) – 11, 10
(e) – 6, 6
(f) 1, – 100
Answer:
(a) 9 is to the right of 2
(b) – 3 is to the right of -8
(c) 0 is to the right of -1
(d) 10 is to the right of -11
(e) 6 is to the right of -6
(f) 1 is to the right of -100
7. Write all the integers between the given pairs (write them in the increasing order.)
(a) 0 and – 7 (b) – 4 and 4 (c) – 8 and – 15 (d) – 30 and – 23
Answer:
(a) – 6, – 5, – 4, – 3, – 2, – 1
(b) – 3,– 2, – 1, 0, 1, 2, 3
(c) – 14, – 13, – 12, – 11, – 10, – 9
(d) – 29, – 28, – 27, – 26, – 25, – 24
8. (a) Write four negative integers greater than – 20.
(b) Write four negative integers less than – 10.
Answer: (a) – 19, – 18, – 17, – 16 (b) – 11, – 12, – 13, – 14
9. For the following statements, write True (T) or False (F).
If the statement is false, correct the statement.
(a) – 8 is to the right of – 10 on a number line.
(b) – 100 is to the right of – 50 on a number line.
(c) Smallest negative integer is – 1.
(d) – 26 is greater than – 25.
Answer:
| (a) – 8 is to the right of – 10 on a number line. | True |
| (b) – 100 is to the right of – 50 on a number line. | Flase |
| (c) Smallest negative integer is – 1. | True |
| (d) – 26 is greater than – 25. | Flase |
(a) Which number will we reach if we move 4 numbers to the right of – 2.
(b) Which number will we reach if we move 5 numbers to the left of 1.
(c) If we are at – 8 on the number line, in which direction should we move to reach – 13?
(d) If we are at – 6 on the number line, in which direction should we move to reach – 1?
Answer
- we will reach at +2 if we move 4 numbers to the right of – 2.
- We will reach reach at -4 if we move 5 numbers to the left of 1.
- We should move to left of – 8 to reach at – 13
- We should move to right of – 6 to reach at -1
