David Weber, Talei Kunkel, Alexander Martinez and, Rebecca Shultis Solutions for Chapter: Integers Human Explorations, Exercise 21: Practice 4

Find the following product.

$-6\times 9.$

Match the expressions that have the same value.

$$\begin{gathered} -2\times 6 10\times \left(-2\right) -3\times \left(-4\right) 2\times 10 \\ -5\times \left(-4\right) -3\times 4 -2\times \left(-10\right) \\ -1\times \left(-12\right) -12\times 1 -20\times 1 -4\times 5 \\ -1\times \left(-20\right) -6\times \left(-2\right) -4\times 3 \end{gathered}$$

Simplify these values.

$(-6)(-11).$

Simplify this value.

${\left(-5\right)}^2$.

Simplify this value.

${\left(-1\right)}^{43}$.

Simplify this value.

${\left(-10\right)}^4$.

Determine the magnitude of the force of Earth's gravity on each of the following spacecraft used to explore other space. Remember, the force of gravity on Earth $($ in $\mathrm{N})$ can be approximated by multiplying the mass of the object $($in $\mathrm{kg})$ by $10$.

In order to explore the Marianas Trench, the deepest point on Earth, Jacques Picard and Don Walsh used a submersible craft called Trieste. They had to reach a depth of $-10900 \mathrm{m}$ in a craft that could reach speeds of $-60 \mathrm{m}/\min$. At this speed, how long would it have taken the Trieste to reach this depth$?$ Show your working.