Rounding Off Decimals

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What is the difference between the actual value and the approximate value obtained from the experimental observation or from numerical computation?

Truncation

Error (correct)

Accuracy

Round-off

What is the formula to calculate the Error?

E = x - xa (correct)

E = xa - x

E = xa / x

E = xa + x

What is the error when the actual value is 0.987642 and the approximated value is 0.987630?

0.000010

0.000020

0.000015

0.000012 (correct)

What type of error occurs when some digits from the number are discarded?

Truncation Error Signup and view all the answers

When does truncation error occur?

During the representation of numbers in Normalized floating-point form Signup and view all the answers

What is the measure of accuracy that is defined as the difference between the actual value and the approximate value?

Absolute Error Signup and view all the answers

What is the measure of accuracy that is defined as the difference between the actual value and the approximate value, relative to the actual value?

Relative Error Signup and view all the answers

What is the error when the actual value is 10.5 and the approximated value is 10.4?

0.1 Signup and view all the answers

What type of error is the difference between the actual value and the approximate value?

Absolute Error Signup and view all the answers

What is the purpose of measuring the error in numerical computations?

To determine the accuracy of the result Signup and view all the answers

Rounding Off Decimals

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Questions and Answers

What is the difference between the actual value and the approximate value obtained from the experimental observation or from numerical computation?

What is the formula to calculate the Error?

What is the error when the actual value is 0.987642 and the approximated value is 0.987630?

What type of error occurs when some digits from the number are discarded?

When does truncation error occur?

What is the measure of accuracy that is defined as the difference between the actual value and the approximate value?

What is the measure of accuracy that is defined as the difference between the actual value and the approximate value, relative to the actual value?

What is the error when the actual value is 10.5 and the approximated value is 10.4?

What type of error is the difference between the actual value and the approximate value?

What is the purpose of measuring the error in numerical computations?

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