3.1 Introduction to integers  (Page 5/9)

1. ⓐ $2$
2. ⓑ $\mathrm{-2}$
3. ⓒ $\mathrm{-5}$

1. ⓐ $5$
2. ⓑ $\mathrm{-5}$
3. ⓒ $\mathrm{-2}$

1. ⓐ $\mathrm{-8}$
2. ⓑ $8$
3. ⓒ $\mathrm{-6}$

1. ⓐ $\mathrm{-7}$
2. ⓑ $7$
3. ⓒ $\mathrm{-1}$

1. ⓐ $9\text{\_\_}4$
2. ⓑ $\mathrm{-3}\text{\_\_}6$
3. ⓒ $\mathrm{-8}\text{\_\_}\mathrm{-2}$
4. ⓓ $1\text{\_\_}\mathrm{-10}$

1. ⓐ $6\text{\_\_}2;$
2. ⓑ $\mathrm{-7}\text{\_\_}4;$
3. ⓒ $\mathrm{-9}\text{\_\_}\mathrm{-1};$
4. ⓓ $9\text{\_\_}\mathrm{-3}$

1. ⓐ $\mathrm{-5}\text{\_\_}1;$
2. ⓑ $\mathrm{-4}\text{\_\_}\mathrm{-9};$
3. ⓒ $6\text{\_\_}10;$
4. ⓓ $3\text{\_\_}\mathrm{-8}$

1. ⓐ $\mathrm{-7}\text{\_\_}3;$
2. ⓑ $\mathrm{-10}\text{\_\_}\mathrm{-5};$
3. ⓒ $2\text{\_\_}\mathrm{-6};$
4. ⓓ $8\text{\_\_}9$

1. ⓐ $2$
2. ⓑ $\mathrm{-6}$

1. ⓐ $9$
2. ⓑ $\mathrm{-4}$

1. ⓐ $\mathrm{-8}$
2. ⓑ $1$

1. ⓐ $\mathrm{-2}$
2. ⓑ $6$

$-(\mathrm{-4})$

$-(\mathrm{-8})$

$-(\mathrm{-15})$

$-(\mathrm{-11})$

$-m\text{when}$

1. ⓐ $m=3$
2. ⓑ $m=\mathrm{-3}$

$-p\text{when}$

1. ⓐ $p=6$
2. ⓑ $p=\mathrm{-6}$

$-c\text{when}$

1. ⓐ $c=12$
2. ⓑ $c=\mathrm{-12}$

$-d\text{when}$

1. ⓐ $d=21$
2. ⓑ $d=\mathrm{-21}$

1. ⓐ $\left|7\right|$
2. ⓑ $\left|\mathrm{-25}\right|$
3. ⓒ $\left|0\right|$

1. ⓐ $\left|5\right|$
2. ⓑ $\left|20\right|$
3. ⓒ $\left|\mathrm{-19}\right|$

1. ⓐ $\left|x\right|\text{when}x=\mathrm{-28}$
2. ⓑ $|-u|\text{when}u=\mathrm{-15}$

1. ⓐ $\left|y\right|\text{when}y=\mathrm{-37}$
2. ⓑ $|-z|\text{when}z=\mathrm{-24}$

1. ⓐ $-\left|p\right|\text{when}p=19$
2. ⓑ $-\left|q\right|\text{when}q=\mathrm{-33}$

1. ⓐ $-\left|a\right|\text{when}a=60$
2. ⓑ $-\left|b\right|\text{when}b=\mathrm{-12}$

1. ⓐ $\mathrm{-6}\text{\_\_}\left|\mathrm{-6}\right|$
2. ⓑ $-\left|\mathrm{-3}\right|\text{\_\_}\mathrm{-3}$

1. ⓐ $\mathrm{-8}\text{\_\_}\left|\mathrm{-8}\right|$
2. ⓑ $-\left|\mathrm{-2}\right|\text{\_\_}\mathrm{-2}$

$\left|8-4\right|$

$\left|9-6\right|$

$8\left|\mathrm{-7}\right|$

$5\left|\mathrm{-5}\right|$

$\left|15-7\right|-\left|14-6\right|$

$\left|17-8\right|-\left|13-4\right|$

$18-\left|2(8-3)\right|$

$15-\left|3(8-5)\right|$

$8(14-2|\mathrm{-2}|)$

$6(13-4|\mathrm{-2}|)$

1. ⓐ the opposite of $8$
2. ⓑ the opposite of $\mathrm{-6}$
3. ⓒ negative three
4. ⓓ $4$ minus negative $3$

1. ⓐ the opposite of $11$
2. ⓑ the opposite of $\mathrm{-4}$
3. ⓒ negative nine
4. ⓓ $8$ minus negative $2$

1. ⓐ the opposite of $20$
2. ⓑ the opposite of $\mathrm{-5}$
3. ⓒ negative twelve
4. ⓓ $18$ minus negative $7$

1. ⓐ the opposite of $15$
2. ⓑ the opposite of $\mathrm{-9}$
3. ⓒ negative sixty
4. ⓓ $12$ minus $5$

a football play loss of $12\text{yards}$

a football play gain of $4\text{yards}$

a stock gain of $\text{\$3}$

a stock loss of $\text{\$5}$

a golf score one above par

a golf score of $3$ below par

Elevation The highest elevation in the United States is Mount McKinley, Alaska, at $\mathrm{20,320}\text{feet}$ above sea level. The lowest elevation is Death Valley, California, at $282\text{feet}$ below sea level. Use integers to write the elevation of:

1. ⓐ Mount McKinley
2. ⓑ Death Valley

Extreme temperatures The highest recorded temperature on Earth is $\text{58° Celsius,}$ recorded in the Sahara Desert in 1922. The lowest recorded temperature is $\text{90°}$ below $\text{0° Celsius,}$ recorded in Antarctica in 1983. Use integers to write the:

1. ⓐ highest recorded temperature
2. ⓑ lowest recorded temperature

State budgets In June, 2011, the state of Pennsylvania estimated it would have a budget surplus of $\text{\$540 million.}$ That same month, Texas estimated it would have a budget deficit of $\text{\$27 billion.}$ Use integers to write the budget:

1. ⓐ surplus
2. ⓑ deficit

College enrollments Across the United States, community college enrollment grew by $\mathrm{1,400,000}$ students from $2007$ to $2010.$ In California, community college enrollment declined by $\mathrm{110,171}$ students from $2009$ to $2010.$ Use integers to write the change in enrollment:

1. ⓐ growth
2. ⓑ decline

Give an example of a negative number from your life experience.

What are the three uses of the “−” sign in algebra? Explain how they differ.