Free Printable Errors

1.

The length (a = 5.43 m) and width (b = 3.82m) of the room were measured with precision 1cm. Estimate the error in determining the area of the room S = a*b = 20.7426 m². Give the answer as only number without m².

(a)

2.

Some computer can only enter numbers with three significant digits. With what precision can the value of the number $\pi$ be entered into it. Give the answer as 4 digits after dot.

(a)

3.

Some computer can only enter numbers with three significant digits. With what precision can the value of the number $\frac{1}{3}$ be entered into it. Give the answer as 4 digits after dot.

(a)

4.

The length (a = 5.43 m) and width (b = 3.82m) of the room were measured with precision 1cm. Estimate the relative error $\delta_S$ in determining the area of the room S = a*b = 20.7426 m2. Give the answer as percent with 2 digits after dot.

(a)

5.

The length (a = 5.43 m) and width (b = 3.82m) of the room were measured with precision 1cm. Round-off the area of the room S = a*b = 20.7426 m² to the correct digits. Give the answer as only number without m².

(a)

6.

Round off the number 2.1514 to 3 significant digits and calculate absolute error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

7.

Round off the number 2.1514 to 3 significant digits and calculate relative error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

8.

Round off the number 0.16152 to 3 significant digits and calculate absolute error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

9.

Round off the number 0.16152 to 3 significant digits and calculate relative error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

10.

Round off the number 0.01204 to 3 significant digits and calculate absolute error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

11.

Round off the number 0.01204 to 3 significant digits and calculate relative error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

12.

Round off the number 1.225 to 3 significant digits and calculate absolute error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

13.

Round off the number 1.225 to 3 significant digits and calculate relative error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

14.

Round off the number -0.0015281 to 3 significant digits and calculate absolute error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

15.

Round off the number -0.0015281 to 3 significant digits and calculate relative error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

16.

Calculate absolute error of approximate value a = 13267 by relative error $\delta_a=0.1\%$ . You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

17.

Calculate absolute error of approximate value a = 2.32 by relative error $\delta_a=0.7\%$ . You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

18.

Calculate absolute error of approximate value a = 35.72 by relative error $\delta_a=1\%$

(a)

19.

Calculate absolute error of approximate value a = 0.896 by relative error $\delta_a=10\%$ . You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

20.

Calculate absolute error of approximate value a = 232.44 by relative error $\delta_a=1\%$ . You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

21.

When measuring the angle, $\alpha\ =21\degree37'3''$ was obtained. Calculate relative error, if absolute error is

\Delta_{\alpha}\ =\ 1''

. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

22.

When measuring the angle, $\alpha\ =45\degree$ was obtained. Calculate relative error, if absolute error is

\Delta_{\alpha}\ =\ 1''

. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

23.

When measuring the angle, $\alpha\ =1\degree10''$ was obtained. Calculate relative error, if absolute error is

\Delta_{\alpha}\ =\ 1''

. You may use *10^{-k} where k - is a power, to show right form of the error.

(a)

24.

When measuring the angle, $\alpha\ =75\degree20'44''$ was obtained. Calculate relative error, if absolute error is

\Delta_{\alpha}\ =\ 1''

. You may use *10^{-k} where k - is a power, to show right form of the error. Present result as percent with % in the end.

(a)

25.

Determine the number of correct digits in a number $x\ =\ 0.3941$ , if its absolute error $\Delta_x=0.25\cdot10^{-2}$ .

a)

1

b)

2

c)

3

d)

4

26.

Determine the number of correct digits in a number $x\ =\ 0.1132$ , if its absolute error $\Delta_x=0.1\cdot10^{-3}$ .

a)

1

b)

2

c)

3

d)

4

27.

Determine the number of correct digits in a number $x\ =\ 38.2543$ , if its absolute error $\Delta_x=0.27\cdot10^{-2}$ .

a)

1

b)

2

c)

3

d)

4

28.

Determine the number of correct digits in a number $x\ =\ 293.481$ , if its absolute error $\Delta_x=0.1$ .

a)

1

b)

2

c)

3

d)

4

29.

Determine the number of correct digits in a number $x\ =\ 2.325$ , if its absolute error $\Delta_x=0.1\cdot10^{-1}$ .

a)

1

b)

2

c)

3

d)

4

30.

Determine the number of correct digits in a number $x\ =\ 1.8921$ , if its relative error $\delta_x=0.1\cdot10^{-2}$ .

a)

1

b)

2

c)

3

d)

4

31.

Determine the number of correct digits in a number $x\ =\ 0.2218$ , if its relative error $\delta_x=0.2\cdot10^{-1}$ .

a)

1

b)

2

c)

3

d)

4

32.

Determine the number of correct digits in a number $x\ =\ 22.351$ , if its relative error $\delta_x=0.1$ .

a)

1

b)

2

c)

3

d)

4

33.

Determine the number of correct digits in a number $x\ =\ 0.02425$ , if its relative error $\delta_x=0.5\cdot10^{-2}$ .

a)

1

b)

2

c)

3

d)

4

34.

Determine the number of correct digits in a number $x\ =\ 0.000135$ , if its relative error $\delta_x=0.15$ .

a)

1

b)

2

c)

3

d)

4

Errors

Total questions: 34

Worksheet time: 9hrs 30mins

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