Question

Unit : Negative Numbers < Addition & Subraction !! Answer In 20 Minutes !!!

Which Number Represents the expression - 2 + ( - 7/2) ?

Answer 1

-5 1/2

i hope this helps <3

Answer 2

`-(11)/(2)` is the number which represents the expression
`-2+\left((-7)/(2)\right)`.

i.e.

`-2+\left((-7)/(2)\right)=-(11)/(2)`

Explanation:

Given the expression

`-2+\left((-7)/(2)\right)`

`\mathrm{Remove\:parentheses}:\quad \left(a\right)=a`

`=-2+(-7)/(2)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(b)=-(a)/(b)`

`=-2-(7)/(2)`

`\mathrm{Convert\:element\:to\:fraction}:\quad \:2=(2\cdot \:2)/(2)`

`=-(2\cdot \:2)/(2)-(7)/(2)`

`\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)`

`=-(2\cdot \:2)/(2)-(7)/(2)`

`=(-2\cdot \:2-7)/(2)`

`=(-11)/(2)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(b)=-(a)/(b)`

`=-(11)/(2)`

Therefore,
`-(11)/(2)` is the number which represents the expression
`-2+\left((-7)/(2)\right)`.

i.e.

`-2+\left((-7)/(2)\right)=-(11)/(2)`