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What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?
(113. + -111.) + 7.51
113. + (-111. + 7.51)
113. + (-111. + 7.51)
- a)9.51 and 10.0 respectively
- b)10.0 and 9.51 respectively
- c)9.51 and 9.51 respectively
- d)10.0 and 10.0 respectively
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
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]
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What is the result of evaluating the following two expressions using t...
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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.
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.
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What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?(113. + -111.) + 7.51113. + (-111. + 7.51)a)9.51 and 10.0 respectivelyb)10.0 and 9.51 respectivelyc)9.51 and 9.51 respectivelyd)10.0 and 10.0 respectivelyCorrect answer is option 'D'. Can you explain this answer?
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What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?(113. + -111.) + 7.51113. + (-111. + 7.51)a)9.51 and 10.0 respectivelyb)10.0 and 9.51 respectivelyc)9.51 and 9.51 respectivelyd)10.0 and 10.0 respectivelyCorrect answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?(113. + -111.) + 7.51113. + (-111. + 7.51)a)9.51 and 10.0 respectivelyb)10.0 and 9.51 respectivelyc)9.51 and 9.51 respectivelyd)10.0 and 10.0 respectivelyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?(113. + -111.) + 7.51113. + (-111. + 7.51)a)9.51 and 10.0 respectivelyb)10.0 and 9.51 respectivelyc)9.51 and 9.51 respectivelyd)10.0 and 10.0 respectivelyCorrect answer is option 'D'. Can you explain this answer?.
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