David Weber, Talei Kunkel, Alexander Martinez and, Rebecca Shultis Solutions for Chapter: Integers Human Explorations, Exercise 31: Practice 6

Evaluate the involves multiple operations. 

$\frac{140-(-160)}{ 68- (-8)( +4)}.$

Evaluate each of these, where each involves multiple operations. 

$\frac{(-20)}{-4}+(-68)-\frac{(-81)}{+9}.$

Evaluate of to involve multiple operation.

$\frac{15-(+12)+ (-14)+ (+5)(-9)}{(-8)\left(2\right)- (-14) }.$

While a space, it is not uncommon for astronaut's to lose weight and return to Earth lighter than when they left. Suppose an astronaut's mass at the beginning of her mission was $96 \mathrm{kg}$.The first week she lost $2 \mathrm{kg}$, the second week she lost $4 \mathrm{kg}$, the third week she gained $2 \mathrm{kg}$, the fourth week she lost $1 \mathrm{kg}$, the fifth week she lost $3 \mathrm{kg}$. What was her mass after the five-week mission$?$

On $29$ May $1953$, Sir Edmund Hillary, a New Zealand explorer, and Tenzing Norgay, a Sherpa mountaineer from the Nepal, were the first people to climb to the top of Mount Everest. Several attempts had been made since the first attempt in $1921$, but climbing the mountain can be very dangerous. As you go up the mountain, which has an altitude of $8848$ meters, the temperature drops and oxygen levels decrease, leaving explorers exposed to altitude sickness and hypothermia.

If the temperature when Hillary and Norgay left Kathmandu $\left(+5000 \mathrm{m}\right)$ was $-8°\mathrm{C}$, and the temperature drops $7°\mathrm{C}$ for every gain of $1000$ meters, wha temperature would they expect it be at $8000$ meters $($Camp $4)?$ Using integers, write all of the calculations in a single step and evaluate.

Copy the following and insert operations and/ or brackets to make the equation true. Do not use exponents/indices.

$-10 -6 2 -4 =2.$

Copy the following and insert operations and/ or brackets to make the equation true. Do not use exponents/indices.

$9 2 6 -3 = 13.$

Copy the following and insert operations and/ or brackets to make the equation true. Do not use exponents/indices.

$7 4 -12 -2 3 =27.$