Question

What is the value of the expression below -0.75-(-2/5) + 0.4 + (-3/4) need answers pls

Answer 1

0.8

Explanation:

Convert the ftactions to the decimal:

`-(2)/(5)=-(2\cdot2)/(5\cdot2)=-(4)/(10)=-0.4\\\\-(3)/(4)=-(3\cdot25)/(4\cdot25)=-(75)/(100)=-0.75`

Therefore we have:

`-0.75-\left(-(2)/(5)\right)+0.4+\left(-(3)/(4)\right)=-0.75-(-0.4)+0.4+(-0.75)`

We know

(-)(-) → (+)

(-)(+) → (-)

Therefore:

`0.75-(-0.4)+0.4+(-0.75)=0.75+0.4+0.4-0.75`

Use the commutative property a + b = b + a

and the associative property (a + b) + c = a + (b + c)

`0.75+0.4+0.4-0.75=(0.75-0.75)+(0.4+0.4)=0.8`