ML Aggarwal Solutions for Class 6 Maths Chapter 3 Integers

ML Aggarwal Solutions for Class 6 Maths Chapter 3 Integers provide a clear understanding of fundamental concepts discussed in the chapter. The solutions can be referred to by the students to enhance their problem-solving and time-management skills. Practising these solutions on a regular basis helps them to score excellent marks in the final exam. In order to obtain more knowledge, students can refer to ML Aggarwal Solutions for Class 6 Maths Chapter 3 Integers PDF from the link given below.

Chapter 3 explains important concepts based on Integers. The solutions are designed in a step-wise manner to make learning fun for students. These solutions help them to solve difficult problems effortlessly.

ML Aggarwal Solutions for Class 6 Maths Chapter 3 Integers

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Access answers to ML Aggarwal Solutions for Class 6 Maths Chapter 3 Integers

1. Write the opposite of the following:

(i) Loss of Rs 5000

(ii) 30 km East of Delhi

(iii) 200 m above sea level

(iv) 325 BC

(v) Spending Rs 2700

(vi) 250 C above freezing point.

Solution:

The opposite statements are as follows:

(i) Profit of Rs 5000

(ii) 30 km West of Delhi

(iii) 200 m below sea level

(iv) 325 AD

(v) Earning Rs 2700

(vi) 250 C below freezing point

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

(i) Gain of 3 kg Weight

(ii) Earning Rs 1340

(iii) 200 C below freezing point

(iv) Loss of Rs 470

(v) Depositing Rs 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:

The statements using appropriate sign ‘+’ or ‘-’ are as follows:

(i) + 3 kg Weight

(ii) + Rs 1340

(iii) – 200 C

(iv) – Rs 470

(v) + Rs 2500

(vi) – 240 m

(vii) + 9320 m

(viii) – 6

3. Evaluate the following, using the numbers line

(i) 4 + (-5)

(ii) (-4) + 5

(iii) 7 + (-3)

(iv) -6 + (-2)

Solution:

(i) Given

4 + (-5)

Start from point 4 on the number line and move 5 units to the left side

We reach at – 1

Therefore,

4 + (-5) = 4 – 5

= – 1

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 1

(ii) Given

(-4) + 5

Start from -4 on the number line and move 5 units to the right side,

We reach at 1

Therefore,

(-4) + 5 = – 4 + 5

= 1

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 2

(iii) Given

7 + (-3)

Start from 7 on the number line and move 3 units to the left side,

We reach at 4

Therefore,

7 + (-3) = 7 – 3

= 4

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 3

(iv) Given

(-6) + (-2)

Start from -6 on the number line and move 2 units to the left side,

We reach at -8

Therefore,

(-6) + (-2) = -6 – 2

= -8

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 4

4. Evaluate the following:

(i) (-8) + (-14)

(ii) -35 + (-47)

(iii) 91 + (-48)

(iv) (-203) + 501

(v) (-36) + 29

(vi) (-131) + 97

Solution:

(i) (-8) + (-14)

= – 8 – 14

We get,

= – 22

(ii) -35 + (-47)

= -35 – 47

We get,

= -82

(iii) 91 + (-48)

= 91 – 48

We get,

= 43

(iv) (-203) + 501

= – 203 + 501

We get,

= 298

(v) (-36) + 29

= -36 + 29

We get,

= -7

(vi) (-131) + 97

= -131 + 97

We get,

= -34

5. Evaluate the following using the number line:

(i) 4 – (-2)

(ii) -4 – (-2)

(iii) 3 – 6

(iv) -3 – (-5)

Solution:

(i) 4 – (-2)

Start from 4 on the number line and move 2 units to the right side,

We reach at 6

Therefore,

4 – (-2) = 4 + 2

= 6

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 5

(ii) -4 – (-2)

Start from -4 on the number line and move 2 units to the right side,

We reach at -2

Therefore,

-4 – (-2) = – 4 + 2

= -2

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 6

(iii) 3 – 6

Start from 3 on the number line and move 6 units to the left side,

We reach at -3

Therefore,

3 – 6 = -3

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 7

(iv) -3- (-5)

Start from -3 on the number line and move 5 units to the right side,

We reach at 2

Therefore,

-3- (-5) = -3 + 5

= 2

ML Aggarwal Solutions Class 6 Maths Chapter 3 - 8

6. Find the value of:

(i) 6 – 9 + 4

(ii) -5 – (-3) + 2

(iii) 7 + (-5) + (-6)

(iv) 6 – 3 – (-5)

Solution:

(i) 6 – 9 + 4

= (6 + 4) – 9

= 10 – 9

We get,

= 1

(ii) -5 – (-3) + 2

= -5 + 3 + 2

= -5 + 5

We get,

= 0

(iii) 7 + (-5) + (-6)

= 7 – 5 – 6

= 2 – 6

We get,

= -4

(iv) 6 – 3 – (-5)

= 6 – 3 + 5

= 3 + 5

We get,

= 8

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