Tag: multiplication and division of integers

$68 \times (-1) = -68$

If the dividend and divisor have unlike signs then the quotient will be negative.
For eg- $\displaystyle \frac{-132}{12}=-11$

-6 $\times$ -2 = + 12

If the dividend and divisor have same  signs then the quotient will be positive.
For eg- $\displaystyle \frac{132}{12}=11$ and $\displaystyle \frac {-132}{-12}= 11$

(-1) $\times$ (-1) $\times$ (-I) ......odd times = Negative sign

$(-ve\, integer)^2$ = Positive integer

$5.\overline { 63 } $
$=5.636363...$
Let $x=5.6363$  (i)
$\therefore 100x=563.6363$  (ii)
Subtracting (i) from (ii) we get,
$=>99x=558$
$=>x=\dfrac{558}{99}$
Now,$5.\overline { 63 }\times 11$
$=>\frac{558}{99}\times 11$
$=>62$

Given, $(-32) \div (-4)$

Positive of a negative integer is negative. 
Example: $+(-40)= -40$

$(-144)\div (16)=\dfrac{-1\times16\times9}{16}$