Question

multiple choice
identify the choice that best completes the statement or answers the question. bubble your answers on your bubble sheet for credit. (30 questions, 50 points)

1. the sides of a rectangular solid are measured to be 1.650 cm x 2.49 cm x 1.0 cm. the volume expressed to the correct precision is

a. 4.1085 cm³
b. 4.109 cm³
c. 4.11 cm³
d. 4.1 cm³
e. 4 cm³

1. in this image, the group of arrows are:

a. neither precise nor accurate.
b. accurate, but not precise.
c. both precise and accurate.
d. precise, but not accurate.
which of these measurements has only nonsignificant zeros?
a. 0.0037 ml - 2 sf
b. 60.0 ml
c. 400. ml
d. 506 ml
the abbreviations for units of length in order from largest to smallest are
a. m, cm, mm, km, nm
b. nm, mm, m, cm, km.
c. km, mm, cm, m, nm
d. km, m, cm, mm, nm
the measurement 0.035550 g rounded off to two significant figures would be
a. 0.03 g.
b. 0.035 g.
c. 0.036 g.
d. 3.6×10² g.

1. express the sum of 7.68 m and 5.0 m using the correct number of significant digits.

a. 12.68 m
b. 12.7 m
c. 13 m
d. 10 m

1. what is the metric - system prefix for the quantity 0.001?

a. centi -
b. milli -
c. kilo -
d. micro -
e. pico -

1. in the measurement 0.503 l, which digit is the estimated digit?

a. 5
b. the 0 immediately to the left of the 3
c. 3
d. the 0 to the left of the decimal point

1. the lego figure of gandalf has a density of 0.89 g/cm³. if your dog steals it and hides it in his water bowl, gandalf will:

a. float
b. sink
c. swim laps to get his cardio in
d. use his staff to call the ents for help.

1. which of the following units is not an official si unit?

a. kilogram
b. kelvin
c. mole
d. liter

1. the number of grams equal to 0.5 kg is

a. 0.0005 g
b. 0.005 g
c. 500 g
d. 5000 g

Explanation:

Step1: Calculate volume of rectangular solid

Volume \(V = l\times w\times h\), where \(l = 1.650\ cm\), \(w=2.49\ cm\), \(h = 1.0\ cm\). So \(V=1.650\times2.49\times1.0 = 4.1085\ cm^{3}\). The least - precise measurement is \(1.0\ cm\) (2 significant digits), so we round the result to 2 significant digits. Rounding \(4.1085\) to 2 significant digits gives \(4.1\ cm^{3}\).

Step2: Add measurements with significant digits

For \(7.68\ m+5.0\ m\), \(7.68\) has 3 significant digits and \(5.0\) has 2 significant digits. When adding, we consider the decimal - place precision. \(7.68 + 5.0=12.68\). But since \(5.0\) is precise to the tenths place, we round \(12.68\) to the tenths place, getting \(12.7\ m\).

Step3: Identify metric prefix

The metric system prefix for \(0.001\) is milli - since \(0.001=\ 1\times10^{-3}\) and the prefix milli represents \(10^{-3}\).

Step4: Determine estimated digit

In a measurement like \(0.503\ L\), the last digit (\(3\)) is the estimated digit.

Step5: Analyze density for floating or sinking

The density of water is approximately \(1\ g/cm^{3}\). Since the density of the Lego Gandalf figure is \(0.89\ g/cm^{3}\) which is less than the density of water, it will float.

Step6: Identify non - SI unit

The SI units are kilogram (mass), Kelvin (temperature), and mole (amount of substance). Liter is not an official SI unit (the SI unit for volume is the cubic meter, \(m^{3}\), but liter is a recognized non - SI unit accepted for use with SI).

Step7: Convert kilograms to grams

We know that \(1\ kg = 1000\ g\). So for \(0.5\ kg\), we multiply by \(1000\): \(0.5\times1000 = 500\ g\).

Answer:

1. d. \(4.1\ cm^{3}\)
2. d. precise, but not accurate
3. a. \(0.0037\ mL\)
4. b. \(12.7\ m\)
5. b. milli -
6. c. \(3\)
7. a. float
8. d. liter
9. c. \(500\ g\)