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Addition of Integers

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Topics

  • Rules for Addition of Integers
  • Real-Life Applications
  • Activity
CISCE: Class 6

Rules for Addition of Integers

Rule 1: Both integers are positive

  • Add them normally.
  • The result is positive.

Example: (+3) + (+2) = +5

Rule 2: Both integers are negative

  • Add their magnitudes.
  • The result is negative.

Example: (-12) + (-67) = -79

Rule 3: One positive, one negative

  • Subtract the smaller number from the larger one (ignore signs).
  • The result takes the sign of the number with the larger magnitude.

Example: (-38) + 72 = 34
Conversely, (-72) + 38 = -34 

CISCE: Class 6

Real-Life Applications

Temperature Changes
Scenario: The morning temperature is -3°C. During the day, it rises by 8°C.
Calculation: (-3) + (+8) = +5
Answer: The final temperature is +5°C.

Bank Account Transactions
Scenario: You have ₹200 in your account. You withdraw ₹150.
Calculation: (+200) + (-150) = +50
Answer: Your remaining balance is ₹50.

Elevator Movements
Scenario: You start on the 2nd floor and go down 5 floors.
Calculation: (+2) + (-5) = -3
Answer: You end up on the 3rd basement level.

Maharashtra State Board: Class 6

Activity

Representation of the Rabbit’s Hops on a Number Line Using Positive and Negative Signs:
1. For Positive signs

  • At first the rabbit was at the number
  • It hopped 5 units to the right.
  • The number is currently at +6.

Calculation:
1 + 5 = (+1) + (+5) = +6
2. For Negative Signs

  • Initially, the rabbit was positioned at number -2.
  • It hopped 5 units to the right.
  • It is now at the number +3. 

Calculation:
(-2) + (+5) = +3

Example Question 1

Find the sum of (- 11) + ( + 4) + (- 9) + (+ 7)

(- 11) + ( + 4) + (- 9) + (+ 7)

= (- 11) + (- 9) + ( + 4) + (+ 7)

= (- 20) + (+ 11)

= - 9.

Example Question 2

Add without using number line: (+ 10) + (+ 3) + (- 8) + (- 9).

(+ 10) + (+ 3) + (- 8) + (- 9).

= (+ 13) + (- 17)

= - 4.

Test Yourself

Video Tutorials

We have provided more than 1 series of video tutorials for some topics to help you get a better understanding of the topic.

Series 1


Series 2


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