NCERT Solutions Class 6 Mathematics Chapter 6 Integers

Q.1: Write the following numbers with appropriate signs : 
(a) 100 m below sea level.
(b) 25°C above 0°C temperature.
(c) 15°C below 0°C temperature.
(d) any five numbers less than 0.

Ans : Missing 

Q.2: Compare the following pairs of numbers using > or <. 
0 \(\square\) -8;
– 1 \(\square\) – 15; 
5 \(\square\) – 5; 
11 \(\square\) 15;
0 \(\square\) 6; 
– 20 \(\square\) 2
From the above exercise, Rohini arrived at the following conclusions : 
(a) Every positive integer is larger than every negative integer. 
(b) Zero is less than every positive integer. 
(c) Zero is larger than every negative integer.
(d) Zero is neither a negative integer nor a positive integer. 
(e) Farther a number from zero on the right, larger is its value.
(f) Farther a number from zero on the left, smaller is its value.
Do you agree with her? Give examples.

Ans : Missing 

Q.3: Write opposites of the following : 
(a) Increase in weight 
(b) 30 km north 
(c) 80 m east
(d) Loss of Rs 700
(e) 100 m above sea level

Ans : (a) Decrease in weight 
(b) 30 km south 
(c) 326 A.D. 
(d) Gain of Rs 700  
(e) 100 m below sea level 

Q.4: . Represent the following numbers as integers with appropriate signs. 
(a) An aeroplane is flying at a height two thousand metre above the ground.
(b) A submarine is moving at a depth, eight hundred metre below the sea level. 
(c) A deposit of rupees two hundred.
(d) Withdrawal of rupees seven hundred

Ans : (a) +2000 
(b) -800 
(c) +200 
(d) -700 

Q.5: 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.

Ans : (a) F
(b) Negative integer (—6) 
(c) Point B represents 4 and point E represents —10 
(d) E has the least value as it represents —10. 
(e) D