How to add integers without number line
Answers
Rules for addition of numbers without using number line in different situation:
1. To add a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and positive sign should be attached to the sum obtained.
For example:
(i) Evaluate (+4) + (+3) = 4 + 3 = 7 or +7.
(ii) Evaluate (+5) + (+4) = 5 + 4 = 9 or +9.
2. To add a positive number to a negative number, the numbers with smaller value should be subtracted from the number with bigger value and the sign of the bigger number should be attached to the answer.
For example:
(i) Evaluate (+5) + (-2)
On subtracting smaller number 2 from bigger number 5; we get 5 – 2 = 3
Since, the sign of bigger number is + (positive)
Therefore, (+5) + (-2) = +3 or simply 3
(ii) Evaluate (+6) + (-1)
On subtracting smaller number 1 from bigger number 6; we get 6 – 1 = 5
Since, the sign of bigger number is + (positive)
Therefore, (+6) + (-1) = +5 or simply 5
3. To add a negative number to a positive number, the numbers with smaller value should be subtracted from the number with bigger value and the sign of the bigger number should be attached to the answer.
For example:
(i) Evaluate (-4) + (+1)
On subtracting smaller number 1 from bigger number 4; we get 4 – 1 = 3
As the sign of bigger number is negative (-)
Therefore, (-4) + (+1) = -3
(ii) Evaluate (-8) + (+3)
On subtracting smaller number 3 from bigger number 8; we get 8 – 3 = 5
As the sign of bigger number is negative (-)
Therefore, (-8) + (+3) = -5
4. To add a negative number to a negative number, the numbers should be added and negative sign should be attached to the sum obtained.
For example:
(i) Evaluate (-4) + (-1) = -5
(ii) Evaluate (-7) + (-2) = -9
Rules for addition of numbers without using number line in different situation:
1. To add a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and positive sign should be attached to the sum obtained.
For example:
(i) Evaluate (+4) + (+3) = 4 + 3 = 7 or +7.
(ii) Evaluate (+5) + (+4) = 5 + 4 = 9 or +9.
2. To add a positive number to a negative number, the numbers with smaller value should be subtracted from the number with bigger value and the sign of the bigger number should be attached to the answer.
For example:
(i) Evaluate (+5) + (-2)
On subtracting smaller number 2 from bigger number 5; we get 5 – 2 = 3
Since, the sign of bigger number is + (positive)
Therefore, (+5) + (-2) = +3 or simply 3
(ii) Evaluate (+6) + (-1)
On subtracting smaller number 1 from bigger number 6; we get 6 – 1 = 5
Since, the sign of bigger number is + (positive)
Therefore, (+6) + (-1) = +5 or simply 5
3. To add a negative number to a positive number, the numbers with smaller value should be subtracted from the number with bigger value and the sign of the bigger number should be attached to the answer.
For example:
(i) Evaluate (-4) + (+1)
On subtracting smaller number 1 from bigger number 4; we get 4 – 1 = 3
As the sign of bigger number is negative (-)
Therefore, (-4) + (+1) = -3
(ii) Evaluate (-8) + (+3)
On subtracting smaller number 3 from bigger number 8; we get 8 – 3 = 5
As the sign of bigger number is negative (-)
Therefore, (-8) + (+3) = -5
4. To add a negative number to a negative number, the numbers should be added and negative sign should be attached to the sum obtained.
For example:
(i) Evaluate (-4) + (-1) = -5
(ii) Evaluate (-7) + (-2) = -9
Answer:
To add a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and positive sign should be attached to the sum obtained.
For example:
(i) Evaluate (+4) + (+3) = 4 + 3 = 7 or +7.
(ii) Evaluate (+5) + (+4) = 5 + 4 = 9 or +9