Free Printable PS 2

1.

How many significant figures (sig figs) are in the value 1204?

(a)

2.

How many sig figs are in the value 1.20*10^-3?

(a)

3.

How many sig figs are in the value 110?

(a)

4.

How many sig figs are in the value 0.00200?

(a)

5.

Solve the expression $3\ cm\ \cdot\ 4.0\ cm$ . Give the answer to the proper number of sig figs.

a)

12 cm²

b)

10 cm²

c)

12.0 cm²

d)

10 cm

6.

Do the following calculation, giving the final answer to the proper number of sig figs. Don't forget your units!

$0.076\ -\ 0.0012$

(a)

7.

Give the value of the following calculation to the proper number of sig figs. Don't forget to include units!

$\frac{4.1\ m}{2.60\ s}$

(a)

8.

Solve the expression to the proper number of sig figs. Don't forget to include units!

$\left(35\ +\ 273\right)K\cdot4.2\ \frac{J}{K}$

(a)

9.

Conversions are methods of expressing a physical measurement or quantity via a different term (e.g. length in feet or inches). Which of the following can be multiplied by a given quantity without changing the physical meaning of the value? Select all that apply.

a)

$\frac{12\ in}{1\ ft}$

b)

$\frac{60\ s}{1\ \min}$

c)

$\frac{1000\ m}{1\ km}$

d)

$\frac{1\ in}{2.54\ cm}$

10.

Which of the following conversion factors are needed to convert the value 65 mi/h to units of km/h? Select all that apply.

a)

$\frac{1\ h}{60\ \min}$

b)

$\frac{1\ \min}{60\ s}$

c)

$\frac{1\ h}{3600\ s}$

d)

$\frac{1.609\ km}{1\ mi}$

11.

Some conversions require multiple steps. Which of the following conversion factors would be used to convert 1.25 years to seconds? Select all that apply.

a)

$\frac{365\ days}{1\ year}$

b)

$\frac{24\ h}{1\ day}$

c)

$\frac{1\ h}{60\ \min}$

d)

$\frac{1\ \min}{60\ s}$

12.

When converting between metric units with prefixes, it is much easier to use the base unit as a sort of checkpoint in the conversion. This removes the necessity of memorizing more conversion factors. If you were to convert 1.30*10^-8 ks to microseconds, which conversion factor(s) do you need to know?

a)

ks to s

b)

ks to $\mu s$

c)

s to $\mu s$

d)

$\mu s$ to s

13.

Which of the following represents the best method of converting 1.25 lbs to mg?

a)

$1.25\ lbs\ \cdot\ \frac{1\ kg}{2.20\ lbs}\ \cdot\ \frac{10^6\ mg}{1\ kg}$

b)

$1.25\ lbs\ \cdot\ \frac{1\ kg}{2.20\ lbs}\ \cdot\ \frac{1\ mg}{10^{-6\ }\ kg}$

c)

$1.25\ lbs\ \cdot\ \frac{454\ g}{1\ lb}\ \cdot\ \frac{1\ kg}{10^{3\ }g}\ \cdot\ \frac{10^6\ mg}{1\ kg}$

d)

$1.25\ lbs\ \cdot\ \frac{1\ kg}{2.20\ lbs}\ \cdot\ \frac{10^3\ g}{1\ kg}\ \cdot\ \frac{10^3\ mg}{1\ g}$

14.

Conversion of values with units that are squared (or cubed) can be done with the same conversion factors as ones that are not. Which of the following represent accurate conversion factors from cm² to in²? Select all that apply.

a)

$\frac{1\ in^2}{2.54\ cm^2}$

b)

$\frac{1\ in^2}{2.54^2\ in^2}$

c)

$\left(\frac{1\ in}{2.54\ cm}\right)^2$

d)

$\frac{1^2\ in^2}{2.54^2\ cm^2}$

15.

A student does the following conversion. What is the final value? Don't forget to include units and proper sig figs!

$6.71\cdot10^{8\ }\ \frac{mi}{h}\cdot\frac{1\ h}{60\ \min}\cdot\frac{1\ \min}{60\ s}\cdot\frac{1.609\ km}{1\ mi}\cdot\frac{1000\ m}{1\ km}$

(a)

16.

Convert 35 acres to square meters with proper sig figs and units. The conversion is started for you here:

$35\ acres\ \cdot\frac{43560\ ft^2}{1\ acre}\cdot\left(\frac{1\ mi}{5280\ ft}\right)^2$ *

Attach a picture to show your work.

(a)

17.

Convert 5.0 gal to mL. Show all steps (include picture with answer). Some useful conversion factors: 1 gal = 4 qt; 1.057 qt = 1 L. Remember to use proper sig figs and include units!

(a)

18.

Vehicle accelerations are sometimes described in miles per hour per second $\frac{\left(\frac{mi}{h}\right)}{s}\ =\ \frac{mi}{h\cdot s}$ . What is $12.1\ \frac{mi}{h\cdot s}$ in the SI unit m/s²? Remember to include units and use proper sig figs. Show your work by attaching a picture. Hint: Convert mi to m, h to s separately (in either order).

(a)

PS 2

Total questions: 18

Worksheet time: 1hrs 19mins

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