Question

1. identify the statements that correctly complete the sentence: good problem solvers

a. read a problem only once.
b. check their work.
c. break complex problems down into one or more simpler problems.
d. look for relationships among pieces of information.

1. a small piece of gold has a volume of 1.35 cm³.

a. what is the mass, given that the density of gold is 19.3 g/cm³?
b. what is the value of this piece if the market value of gold is $11/g?

Explanation:

5.

Good problem - solvers don't just read a problem once (a is incorrect). They check their work to ensure accuracy, break complex problems into simpler ones to manage them better, and look for relationships among information to find solutions.

Step1: Recall the density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We can re - arrange it to find mass: $m =
ho V$.

Step2: Calculate the mass

Given $
ho = 19.3\ g/cm^{3}$ and $V = 1.35\ cm^{3}$, then $m=
ho V=19.3\ g/cm^{3}\times1.35\ cm^{3}=26.055\ g$.

Step3: Calculate the value

If the market value of gold is $\$11/g$, then the value of the piece is $26.055\ g\times\$11/g=\$286.605$.

Answer:

b. check their work.
c. break complex problems down into one or more simpler problems.
d. look for relationships among pieces of information.

6.