## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 3 Integers Ex 3.1

Question 1.

Write the opposite of the following:

(i) Loss of ₹ 5000

(ii) 30 km East of Delhi

(iii) 200 m above sea level

(iv) 325 BC

(v) Spending ₹ 2700

(vi) 25°C above freezing point.

Solution:

(i) Profit of ₹ 5000

(ii) 30 km West of Delhi

(iii) 200 m below sea level

(iv) 325 AD

(v) Earning ₹ 2700

(vi) 25°C below freezing point.

Question 2.

Write each of the following using appropriate sign ‘+’ or ‘-‘:

(i) Gain of 3 kg Weight

(ii) Earning ₹ 1340

(iii) 20°C below freezing point

(iv) Loss of ₹ 470

(v) Depositing ₹ 2500 in a bank

(vi) 240 m below sea level

(vii) A jet plane flying at a height of 9320 m.

(viii) 6 m down in the basement of a building.

Solution:

(i) +3 kg weight

(ii) +₹ 1340

(iii) -20°C

(iv) -₹ 470

(v) +₹ 2500

(vi) -240 m

(vii) +9320 m

(viii) -6

Question 3.

In each of the following pairs, which number is to the right of the other on the number line?

(i) 3, 5

(ii) 0, -2

(iii) -3, -5

(iv) 2, -7

Solution:

(i) 5

(ii) 0

(iii) -3

(iv) 2

Question 4.

In each of the following pairs, which number is to the left of the other on the number line?

(i) -3, 0

(ii) 2, -5

(iii) -4, -7

(iv) -10,-16

Solution:

(i) -3

(ii) -5

(iii) -7

(iv) -16

Question 5.

Draw a number line and answer the following questions:

(i) Which integers lie between -9 and -2?

(ii) which is the largest among them?

(iii) Which is the smallest among them?

Solution:

(i) -8, -7, -6, -5, -4, -3

(ii) -3

(iii) -8

Question 6.

Write four consecutive integers just greater than -9.

Solution:

The four consecutive integers just than -9 are:

First consecutive = -9 + 1 = -8

Second consecutive = -8 + 1 = -7

Third consecutive = -7 + 1 = -6

Fourth consecutive = -6 + 1 = -5

These are = -8, -7, -6, -5

Question 7.

Write four consecutive integers just before -2.

Solution:

The four consecutive integers just before -2 are:

First consecutive = -2 – 1 = -3

Second consecutive = -3 – 1 = -4

Third consecutive = -4 – 1 = -5

Fourth consecutive = -5 – 1 = -6

∴ These are = -6, -5, -4, -3

Question 8.

Draw a number line and answerthe following questions:

(i) Which number will we reach if we move 6 units to the right of-1?

(ii) Which number will we reach if we move 7 units to the left of 2?

(iii) In which direction should we move to reach 3 from -3?

(iv) In which direction should we move to reach -8 from -3?

Solution:

After moving 6 units to the right -1, we reach at 5.

After moving 7 units to the left of 2, we reach at -5.

To reach 3 from -3, we have to move in right direction.

To reach -8 from -3, we have to move in left direction.

Question 9.

Using the number line, write the integer which is:

(i) 5 more than -1

(ii) 5 less than -1

(iii) 7 less than 2

(iv) 3 more than -7

Solution:

(i) 5 more than -1

Integer 4 is 5 more than -1

(ii) 5 less than -1

Interger -6 is 5 less than -1

(iii) 7 less than 2

Interger -5 is 7 less than 2

(iv) 3 more than -7

Interger -4 is 3 more than -7

Question 10.

Evaluate the following.

Solution:

Question 11.

Use the appropriate symbol < or > to fill in the following blanks:

(i) -3 ………… 7

(ii) 0 ………….. -2

(iii) -10 ………… -11

(iv) -6 …………….. -2

(v) -5 ………….. -13

(vi) -30 …………… -19

Solution:

(i) -3 < 7

(ii) 0 > -2

(iii) -10 > -11

(iv) -6 < -2

(v) -5 > -13

(vi) -30 < -19

Question 12.

Arrange the following integers in ascending order:

(i) -5, 3, 0, -9, 2

(ii) -28, -33, 9, -4, -31, -2, 35

Solution:

(i) -9, -5, 0, 2, 3

(ii) -33, -31, -28, -4, -2, 9, 35

Question 13.

Arrange the following integers in descending order:

(i) -31,25,-37, 43, 0,-5

(ii) -101, 95, -3, -8, 36, -7, -84

Solution:

(i) 4, 3, 25, 0, -5, -31, -37

(ii) 95, 36, -3, -7, -8, -84, -101

Question 14.

State whether the following statements are true (T) or false (F):

(i) 0 is the smallest positive integer.

(ii) Every negative integer is less than every natural number.

(iii) -7 is to the right of-6 on the number line,

(iv) The absolute value of an integer is always greater than the integer.

Solution:

(i) False

(ii) True

(iii) False

(iv) False