3.2.0: Exercises — Read — Invisible Network

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Exercise $\PageIndex{1}$

Identify all the integers in the following list: $4,-17,8,0.5, \sqrt{7}, \frac{1}{9},-300$.

Exercise $\PageIndex{2}$

Identify all integers in the following list: $-9.2,13,-1, \sqrt{47}, \frac{\sqrt{3}}{2}, 567,-300$.

For the following exercises, plot the integers on the same number line.

Exercise $\PageIndex{3}$

$4,-2,10,0$

Exercise $\PageIndex{4}$

$-6,-3,10,1,4$

Exercise $\PageIndex{5}$

$-3,-10,7,2$

Exercise $\PageIndex{6}$

$2,4,8,-2,-5$

For the following exercises, determine if the comparison is true or false.

Exercise $\PageIndex{7}$

$-3<-10$

Exercise $\PageIndex{8}$

$-10>-3$

Exercise $\PageIndex{9}$

$7>-6$

Exercise $\PageIndex{10}$

$-6<7$

Exercise $\PageIndex{11}$

$18<20$

Exercise $\PageIndex{12}$

$20<18$

Exercise $\PageIndex{13}$

What are two numbers with an absolute value of 76 ?

Exercise $\PageIndex{14}$

What are two numbers with an absolute value 87 ?

Exercise $\PageIndex{15}$

Determine |-67|.

Exercise $\PageIndex{16}$

Determine |98|.

Exercise $\PageIndex{17}$

Determine |61|.

Exercise $\PageIndex{18}$

Determine |-903|.

Exercise $\PageIndex{19}$

What are two numbers that are 23 away from 0 ?

Exercise $\PageIndex{20}$

What are two numbers 13 away from 0 ?

For the following exercises, complete the indicated calculation.

Exercise $\PageIndex{21}$

$47+200$

Exercise $\PageIndex{22}$

$67+(-86)$

Exercise $\PageIndex{23}$

$(-86)+104$

Exercise $\PageIndex{24}$

$13-(-54)$

Exercise $\PageIndex{25}$

$(-45)-(-26)$

Exercise $\PageIndex{26}$

$(-13)+(-102)$

Exercise $\PageIndex{27}$

$38 \times 12$

Exercise $\PageIndex{28}$

$(-12) \times(-10)$

Exercise $\PageIndex{29}$

$14 \times(-5)$

Exercise $\PageIndex{30}$

$421 \times(-13)$

Exercise $\PageIndex{31}$

$(-412) \times 504$

Exercise $\PageIndex{32}$

$(-8,919) \times(-3,401)$

Exercise $\PageIndex{33}$

$(-130) \div(-65)$

Exercise $\PageIndex{34}$

$450 \div 9$

Exercise $\PageIndex{35}$

$2000 \div(-40)$

Exercise $\PageIndex{36}$

$(-910) \div 14$

Exercise $\PageIndex{37}$

The daily low temperatures, in degrees centigrade, in Fargo for the week of January 17, 2021, were -9, $-17,-18,-14,-17,-19$, and -11 . What was the average low temperature in Fargo that week?

Exercise $\PageIndex{38}$

Riley collects checks for a fundraiser supporting the homeless in town. Through Venmo, they collect the following amounts: $\$ 20, \$ 20, \$ 50, \$ 75, \$ 250, \$ 10, \$ 15, \$ 65, \$ 30, \$ 15$. What was the average donation that Riley collected?

Exercise $\PageIndex{39}$

Heath has $\$ 495$ in an account. They will collect two paychecks this week, one for $\$ 150$ and the other for $\$ 250$. Heath also will pay three bills, one for $\$ 50$, one for $\$ 110$, and one for $\$ 300$. After all those transactions, how much will Heath have in their account?

Exercise $\PageIndex{40}$

Five diners decide to split the check evenly. The total bill comes to $\$ 475$. How much does each diner owe?

Exercise $\PageIndex{41}$

There are many people who are single-issue voters, which means that they will vote for (or against!) a candidate based on one issue and one issue only. Suppose a politician wants to earn votes based on single issues: Issue 1, Issue 2, and Issue 3. By publicly supporting issue 1, the politician gains 127 voter but loses 154. By publicly supporting issue 2, the politician gains 350 voters but loses 83 . By publicly denouncing Issue 3, the politician gains 306 voters but loses 158. By publicly taking those stances, what is the politician's net gain or loss in number of voters?

Exercise $\PageIndex{9}$

$7>-6$

Exercise $\PageIndex{10}$

$-6<7$

Exercise $\PageIndex{11}$

$18<20$

Exercise $\PageIndex{12}$

$20<18$

Exercise $\PageIndex{13}$

What are two numbers with an absolute value of 76 ?

Exercise $\PageIndex{14}$

What are two numbers with an absolute value 87 ?

Exercise $\PageIndex{15}$

Determine |-67|.

Exercise $\PageIndex{16}$

Determine |98|.

Exercise $\PageIndex{17}$

Determine |61|.

Exercise $\PageIndex{18}$

Determine |-903|.

Exercise $\PageIndex{19}$

What are two numbers that are 23 away from 0 ?

Exercise $\PageIndex{20}$

What are two numbers 13 away from 0 ?

For the following exercises, complete the indicated calculation.

Exercise $\PageIndex{21}$

$47+200$

Exercise $\PageIndex{22}$

$67+(-86)$

Exercise $\PageIndex{23}$

$(-86)+104$

Exercise $\PageIndex{24}$

$13-(-54)$

Exercise $\PageIndex{25}$

$(-45)-(-26)$

Exercise $\PageIndex{26}$

$(-13)+(-102)$

Exercise $\PageIndex{27}$

$38 \times 12$

Exercise $\PageIndex{28}$

$(-12) \times(-10)$

Exercise $\PageIndex{29}$

$14 \times(-5)$

Exercise $\PageIndex{30}$

$421 \times(-13)$

Exercise $\PageIndex{31}$

$(-412) \times 504$

Exercise $\PageIndex{32}$

$(-8,919) \times(-3,401)$

Exercise $\PageIndex{33}$

$(-130) \div(-65)$

Exercise $\PageIndex{34}$

$450 \div 9$

Exercise $\PageIndex{35}$

$2000 \div(-40)$

Exercise $\PageIndex{36}$

$(-910) \div 14$

Exercise $\PageIndex{37}$

The daily low temperatures, in degrees centigrade, in Fargo for the week of January 17, 2021, were -9, $-17,-18,-14,-17,-19$, and -11 . What was the average low temperature in Fargo that week?

Exercise $\PageIndex{38}$

Exercise $\PageIndex{39}$

Exercise $\PageIndex{40}$

Five diners decide to split the check evenly. The total bill comes to $\$ 475$. How much does each diner owe?

Exercise $\PageIndex{41}$

3.2.0: Exercises is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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