Multiplication of integers — lesson. Mathematics State Board, Class 7.

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While $2$ 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:

$470 \times (-9) = -4230$

$(-682) \times (-79) = 53878$

$6 \times (-79) = -474$

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:

$(-9) × (-10) = 90$

$(-12) × (-6) = 72$

$(-10) × (-10) = 100$

$(-5) × (-5) = 25$

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:

$12 × 10 = 120$

$10 × 6 = 60$

$10 × 5 = 50$

$8 × 6 = 48$

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:

$40 × 0 = 0$

2. −682

$× 0 =$ 0

$1$

Did you find an error?

2. Multiplication of integers