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If $x = − 4 9$ , $y = 512$ , and $z = 718$ and , then compute $(x ÷ y) × z$ , then compute .

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− 56 105

56105

− 105 56

10556

answer is A.

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Detailed Solution

Here, we are given that

x = − 4 9

y = 512

and

z = 718

, and we have to compute

(x ÷ y) × z

.
So, substituting the values for x, y and z in

(x ÷ y) × z

, we get,

− 4 9 ÷ 512 × 718 = − 4 9 × 125 × 718 = − 16 15 × 718

Now, we will compute the product and simplify further as follows,

− 16 15 × 718 = × (− 16) × 7 15 × 18 = (− 8) × 7 15 × 9 = − 56 105

So, the value of

x ÷ (y ÷ z)

x = − 4 9

y = 512

and

z = 718

is obtained as

− 56 105

.
Hence, the correct option is (1)

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