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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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