Question

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

Answer 1

Answer:

0.8

Step-by-step explanation:

Convert the ftactions to the decimal:

$-\dfrac{2}{5}=-\dfrac{2\cdot2}{5\cdot2}=-\dfrac{4}{10}=-0.4\\\\-\dfrac{3}{4}=-\dfrac{3\cdot25}{4\cdot25}=-\dfrac{75}{100}=-0.75$

Therefore we have:

$-0.75-\left(-\dfrac{2}{5}\right)+0.4+\left(-\dfrac{3}{4}\right)=-0.75-(-0.4)+0.4+(-0.75)$

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)

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