Question

For X = 1/10, Y = -3/5, Z = 7/28, find the value of expressions (X-Y)-Z and X-(Y-Z). Are they equal?​

Answer 1

Answer:

no they are not equal

Step-by-step explanation:

see this answer hope it will help you

Answer 2

Answer:

• Value of (x - y) -z is 63/140.
• Value of x - (y - z) is -105/140.
• They are not equal.

Step-by-step explanation:

Given that:

$\rm{\circ\;x=\dfrac{1}{10}}$

$\rm{\circ\;y=\dfrac{-3}{5}}$

$\rm{\circ\;z=\dfrac{7}{28}}$

To Find:

• Is (x - y) - z = x - (y - z)?

Solution:

$\bf{\longmapsto (x-y)-z}$

$\rm{\longmapsto \left\{\dfrac{1}{10}-\left(\dfrac{-3}{5}\right)\right\}-\dfrac{7}{28}}$

$\rm{\longmapsto \left\{\dfrac{1}{10}+\dfrac{3}{5}\right\}-\dfrac{7}{28}}$

$\rm{\longmapsto \left\{\dfrac{1+6}{10}\right\}-\dfrac{7}{28}}$

$\rm{\longmapsto\dfrac{7}{10}-\dfrac{7}{28}}$

$\rm{\longmapsto\dfrac{98-35}{140}}$

$\rm{\longmapsto\dfrac{63}{140}}$

-----------------------------------

$\bf{\longmapsto x-(y-z)}$

$\rm{\longmapsto \dfrac{1}{10}-\left(\dfrac{-3}{5}-\dfrac{7}{28}\right)}$

$\rm{\longmapsto \dfrac{1}{10}-\left(\dfrac{-84-35}{140}\right)}$

$\rm{\longmapsto \dfrac{1}{10}-\dfrac{-119}{140}}$

$\rm{\longmapsto\dfrac{14-119}{140}}$

$\rm{\longmapsto\dfrac{-105}{140}}$

Clearly,

$\rm{\dfrac{63}{140}\neq\dfrac{-105}{140}}$

Hence,

• They are not equal.