Significant Digit and Rounding off Numbers, Fundamental concepts - Basic Level

Significant Digit and Rounding off Numbers, Fundamental concepts - Basic Level

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Linear programming is a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming. .

Q1. The number 3.14150 rounded to 3 decimals is

•  3.14
•  3.141
•  3.142
•  None of these

Solution
The number 3.14150 rounded to 3 decimals is 3.142

Q2.The number of significant digits in 0.003050 is

•  7
•  6
•  4
•  None of these

Solution
The number of significant digits in 0.003050 is 4

Q3.  The number of significant digits in 20.035 is

•  3
•  5
•  4
•  None of these

Solution
The number of significant digits in 20.035 is 5

Q4. The number of significant digits in 20340 is

•  4
•  5
•  3
•  None of these

Solution
The number of significant digits in 20340 is 4

Q5.The number 0.0008857 when rounded off to three significant digits yields

•  0.001
•  0.000886
•  0.000885
•  None of these

Solution
 The number 0.0008857 when rounded off to three significant digits yields 0.000886

Q6. The number 3.68451 when rounded off to three decimal places becomes

•  3.68
•  3.684
• 3.685
•  None of these

Solution
The number 3.68451 when rounded off to three decimal places becomes 3.685

Q7.The number of significant digits in the number 0.00452000 is

•  3
•  5
•  8
•  None of these

Solution
None of these

Q8.When the number 6.878652 is rounded off to five significant figures, then the round off error is

•  – 0.000048
•  –0.00048
•  0.000048
•  0.00048

Solution
The round off error is – 0.000048

Q9.The number 0.0009845 when rounded off to three significant digits yields

•  0.001
•  0.000987
•  0.000985
•  None of these

Solution
The number 0.0009845 when rounded off to three significant digits yields 0.000985

Q10. In general the ratio of the truncation error to that of round off error is

•  1 : 2
•  2 : 1
•   1 : 1
•  None of these

Solution
In general the ratio of the truncation error to that of round off error is 2 : 1