PDF chapter test TRY NOW
While multiplying \(2\) integers, depending upon the sign of the two or more than two numbers, the answer can change.
1. Any one number has a negative sign:
In multiplication operation, if any one of the numbers is negative, then the result will have a negative sign \((+ve) × (-ve) = -ve\).
Example:
1.
2.
3.
2. Both numbers have a negative sign:
In multiplication operation, when both the numbers are negative, then the result will have a positive sign \((-ve)×(-ve) = +ve\). This is according to the great mathematician Euler who proved, \((-1)×(-1)=+1\).
Example:
1. \((-9) × (-10) = 90\)
2. \((-12) × (-6) = 72\)
3. \((-10) × (-10) = 100\)
4. \((-5) × (-5) = 25\)
3. Both numbers have positive sign:
In multiplication, when both the numbers are positive, the result will be a positive sign \((+ve) × (+ve) =+ve\)
Example:
1. \(12 × 10 = 120\)
2. \(10 × 6 = 60\)
3. \(10 × 5 = 50\)
4. \(8 × 6 = 48\)
Multiplication with zero:
Any integer \(×\) \(0 = 0\). Irrespective of nature and sign of integer, when an integer is multiplied by zero, the result is \(0\).
Example:
1. \(40 × 0 = 0\)
2. −682 \(× 0 =\) 0
Register for free to see more content