Evaluate the expression. Be sure to list a value of appropriate type (e.g., 7.0 rather than 7 for a double, Strings in quotes).

Question

Alchen [17]

3 years ago

7

Evaluate the expression. Be sure to list a value of appropriate type (e.g., 7.0 rather than 7 for a double, Strings in quotes).

19 / 2 / 2.0 + 2.5 * 6 / 2 + 0.5 * 4

Computers and Technology

1 answer:

Mashutka [201] · Answer 1 · 2022-08-14T18:24:53+03:00

<h2>Answer:</h2>

14.0

<h2>Explanation:</h2>

Using the level of precedence in Java,

From left to right;

(i) the first division operation will be done.

(ii)followed by the second division operation.

(iii)followed by the first multiplication operation.

(iv)followed by the third division operation.

(v)followed by the second multiplication operation.

(vi) followed by the first addition operation.

(vii)lastly followed by the second addition operation.

=================================================

Taking the steps above one after the other;

(i) the first division operation will be done (i.e 19 / 2)

=> Integer division in Java gives an integer result. Therefore, 19 / 2 = 9.5 will give 9.

So,

=> 19 / 2 / 2.0 + 2.5 * 6 / 2 + 0.5 * 4

=> 9 / 2.0 + 2.5 * 6 / 2 + 0.5 * 4

(ii)followed by the second division operation. (i.e 9 / 2.0)

=> From the result from step (i), the second division operation is now 9 / 2.0.

=> 9 / 2.0 = 4.5

So,

=> 9 / 2.0 + 2.5 * 6 / 2 + 0.5 * 4

=> 4.5 + 2.5 * 6 / 2 + 0.5 * 4

(iii)followed by the first multiplication operation. (i.e 2.5 * 6)

=> The first multiplication operation is given by 2.5 * 6

=> 2.5 * 6 = 15.0

So,

=> 4.5 + 2.5 * 6 / 2 + 0.5 * 4

=> 4.5 + 15.0 / 2 + 0.5 * 4

(iv)followed by the third division operation. (i.e 15.0 / 2)

=> The third division operation is given by 15.0 / 2

=> 15.0 / 2 = 7.5

So,

=> 4.5 + 15.0 / 2 + 0.5 * 4

=> 4.5 + 7.5 + 0.5 * 4

(v)followed by the second multiplication operation. (i.e 0.5 * 4)

=> The second multiplication operation is given by 0.5 * 4

=> 0.5 * 4 = 2.0

So,

=> 4.5 + 7.5 + 0.5 * 4

=> 4.5 + 7.5 + 2.0

(vi) followed by the first addition operation. (i.e 4.5 + 7.5)

=> The first addition operation is given by 4.5 + 7.5

=> 4.5 + 7.5 = 12.0

So,

=> 4.5 + 7.5 + 2.0

=> 12.0 + 2.0

(vii) lastly followed by the second addition operation. (i.e 12.0 + 2.0)

=> The second addition operation is given by 12.0 + 2.0

=> 12.0 + 2.0 = 14.0

So,

=> 12.0 + 2.0

=> 14.0

Therefore, 19 / 2 / 2.0 + 2.5 * 6 / 2 + 0.5 * 4 = 14.0

In Java, the order of precedence for arithmetic operators is;

=> /, * and %

=> followed by + and -