Evaluate the expression when x-10- y-2- and z-5-xz-y-

Step 1: On substituting value of x, y and z in given expression |xz/ y|, we get=|10× ( 5)/ ( 2)|=| 50/+2|(The quotient of integers with different signs is negat ...

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Standard XII

Mathematics

Permutation: n Different Things Taken All at a Time When All Are Not Different.

Evaluate the ...

Question

Evaluate the expression when $x = 10, y = - 2, a n d z = - 5$ .
$|\frac{x z}{- y}|$

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Solution

Step 1: On substituting value of x, y and z in given expression $|\frac{x z}{- y}|$ , we get
$= |\frac{10 \times (- 5)}{- (- 2)}|$
$= |\frac{- 50}{+ 2}|$
(The quotient of integers with different signs is negative.)
Step 2: Calculate the final value
$= |- 25| = + 25$
Hence, the expression is $+ 25$ .

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Evaluate the expression when x=10,y=-2,andz=-5.xz-y

Step 1: On substituting value of x, y and z in given expression xz-y, we get=10×(-5)-(-2)=-50+2(The quotient of integers with different signs is negative.)Step 2: Calculate the final value =-25=+25Hence, the expression is +25.

Evaluate the expression when $x = 10, y = - 2, a n d z = - 5$ .
$|\frac{x z}{- y}|$