**Integers Class 6 Ex. 6.1**

**New Ncert Class 6 Math Free Solution.**

**Exercise 6.1**

**Question 1 :- Write down opposites of the following:**

**(a) Increase in weight**

**(b) 30 km North**

**(c) 326 BC**

**(d) Loss of ₹700**

**(e) 100 m above sea level.**

**Solution 1:-**

(a) Decrease in weight

(b) 30 km South

(c) 326 AD

(d) Profit of ₹700

(e)100 m below sea level.

**Question 2 :- Represent following numbers as integers with appropriate signs.**

**(a) An aeroplane is flying at a height-of two-thousand metre(m) above the ground.**

**(b) A submarine is moving at a depth of eight-hundred metre below the sea level.**

**(c) A deposit of rupees two hundred.**

**(d) Withdrawal of rupees seven hundred.**

**Solution 2:-**

(a) +2000 m

(b) -800 m

(c) + ₹200

(d) – ₹700

**Question 3 :- Represent the following numbers on a number line: **

**(a) +5**

**(b) -10**

**(c) +8**

**(d) -1**

**(e) -6**

**Solution 3:-**

(a) +5

(b) -10

(c) +8

(d) -1

(e) -6

**Question 4 :- The adjacent figure is a vertical number line, representing integers. Observe it and locate the following pointss:**

**(a) If point D is +8, then which point is -8?**

**(b) Is point G a negative-integer or a positive-integer ?**

**(c) Write integer for points B and E.**

**(d) Which point marked on this number line has, the least value?**

**(e) Arrange all the pointss in decreasing-order of values.**

**Solution 4:- **

(a) F represents -8

(b) G is a negative integer.

(c) B represents +4 and E represents – 10

(d) The value of E is the lowest at -10.

(e) The points are listed in decreasing sequence as follows: D, C, B, A, O, H, G, F, and E.

**Question 5 :- Following is the list of the temperatures of five places in India on a particular day of the year.**

**(a) Write the temperaturess of these places in the form of integers in the blank-column ?**

**(b) Following is the number line representing the temperatures in degree-Celsius.**

**Plot the names of the city against its temperature.**

**(c) Which is the coolest place?**

**(d) Write the names of the places where temperatures, above the 10°C.**

**Solution 5:- **(a)

(b)

(c) The coldest place is Siachin, where the temperature is -10°C.

(d) (1) Delhi → 20°C

(2) Ahemedabad → 30°C

**Question 6 :- In each of the following pair, which of the 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**

**Solution 6:-**

(a) 9 is to the right of 2.

(b) -3 is to the right of -8

(c) Right of -1 is 0, and vice versa.

(d) 10 is to the right of -11.

(e) 6 is to the right of -6

(f) 1 is located to the right of -100.

**Question 7 :- Write all the integer between the given pair (write them in the increasing order):**

**(a) 0 and -7**

**(b) -4 and 4**

**(c) -8 and -15**

**(d) -30 and -23**

**Solution 7:-**

(a) Integers between 0 and -7 are:

– 6, – 5, – 4, -3, -2, – 1.

(b) Integers between -4 and 4 are:

– 3, – 2, -1, 0, 1, 2, 3.

(c) Integers between -8 and -15 are:

-14,-13, -12,-11,-10,-9.

(d) Integers between -30 and -23 are:

– 29, – 28, – 27, – 26, – 25, – 24.

**Question 8 :- (a) Write the four negative-integers greater than -20.**

**(b) Write the four negative-integers less than – 10.**

**Solution 8:-**

(a) There are four negative integers greater than – 20 are: – 19, – 18, – 17, – 16.

(b) There are four negative integers less than – 10 are: – 11, – 12, – 13, – 14.

**Question 9 :- For the following statement, write the True (T) or False (F). ****If the statement is false, so 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.**

**Solution 9:-**

(a) True (T)

(b) False (F);

(c) False (F);

(d) False (F); Correction: -26 is smaller than -25.

**Question 10 :- Draw a number Line and answer the following:**

**(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 ?**

**Solution 10:-**

**Chapter 6 Integer Class 6 Exercise. 6.1 for Free**