What is the result of evaluating the following two expressions using t...
The correct answer is a.
(113. + -111.) + 7.51
= 2 + 7.51
= 9.51
113. + (-111. + 7.51)
= 113. + (-111. + 7.51)
= 113. - 103. = 10 [103.49 is rounded to 103.0]
View all questions of this test
What is the result of evaluating the following two expressions using t...
What is the result of evaluating the following two expressions using t...
Problem: Evaluate the expressions (113. - 111.) and (7.51 - 111.) using three-digit floating point arithmetic with rounding.
Solution:
To evaluate these expressions, we need to perform the operations using three-digit floating point arithmetic with rounding. Let's evaluate each expression step by step.
Evaluating (113. - 111.):
1. Subtracting 111. from 113.:
113. - 111. = 2.
Evaluating (7.51 - 111.):
1. Subtracting 111. from 7.51:
7.51 - 111. = -103.49.
Final Result:
The result of evaluating the first expression (113. - 111.) is 2, and the result of evaluating the second expression (7.51 - 111.) is -103.49.
Explanation:
In three-digit floating point arithmetic with rounding, we are limited to three digits for both the integer part and the fractional part of a number. Therefore, when the result of an operation exceeds this limit, we need to round the number to fit within the three-digit constraint.
In the first expression, the result 2 is within the three-digit constraint, so no rounding is required.
In the second expression, the result -103.49 has four digits in the integer part and two digits in the fractional part. To fit within the three-digit constraint, we round the number to one digit in the integer part and two digits in the fractional part. Therefore, the rounded result is -103.49.
Answer:
The correct answer is option 'D': 10.0 and 10.0 respectively.