Question

name:_________________________ unit 1: the real numbers
date:___________________ per:___ homework 1: integers & absolute value

directions: write an integer for each situation.

1. 12 miles below sea level 2. 8 mph above the speed limit
2. 2 feet taller 4. a $125 withdrawal
3. a coupon for $20 off 6. 3 degrees above normal

directions: place a < or > in the circle to complete the statement.

1. 6 ○ -2 8. -17 ○ -14 9. -13 ○ 1 10. -41 ○ -45

directions: order the integers from least to greatest.

1. {-7, -12, 0, 5, 2, -4, -1} 12. {24, -19, -11, 7, -25, -15, 3}

directions: find each sum, difference, product, or quotient.

1. 5 + 9 14. -3 + 15 15. -18 + 7
2. 11 - 8 17. 4 - 19 18. -2 - 6
3. -1 + (-12) 20. 8 + (-4) 21. 10 + (-25)
4. 19 - (-5) 23. -15 - (-7) 24. -6 - (-13)
5. -5 × 8 26. 8(11) 27. -2(-9)
6. 15 · -3 29. -7 · -6 30. -12 · 5
7. 24 ÷ -3 32. 60 ÷ 4 33. 72 ÷ -8
8. -27 ÷ -9 35. 48 / -4 36. \\(\frac{-30}{6}\\)

directions: find each value.

1. |20| 38. |-9| 39. |-16| + |-2|
2. |5| - |7| 41. |4| + |-17| 42. |-9| - |-4|
3. |10 - 15| 44. |-2 - 10| 45. |2 + (-19)|

© gina wilson (all things algebra), 2016

Explanation:

Step1: 12 miles below sea level

Negative for below, so -12

Step2: 8 mph above speed limit

Positive for above, so 8

Step3: 2 feet taller

Positive for taller, so 2

Step4: $125 withdrawal

Negative for withdrawal, so -125

Step5: $20 off coupon

Negative for off, so -20

Step6: 3 degrees above normal

Positive for above, so 3

Step7: 6 vs -2

Positive > negative, so >

Step8: -17 vs -14

-17 left of -14, so <

Step9: -13 vs 1

Negative < positive, so <

Step10: -41 vs -45

-41 right of -45, so >

Step11: Order {-7,-12,0,5,2,-4,-1}

Sort negatives: -12,-7,-4,-1; then 0,2,5 → -12,-7,-4,-1,0,2,5

Step12: Order {24,-19,-11,7,-25,-15,3}

Sort negatives: -25,-19,-15,-11; then 3,7,24 → -25,-19,-15,-11,3,7,24

Step13: 5+9

5+9=14

Step14: -3+15

15-3=12

Step15: -18+7

-(18-7)=-11

Step16: 11-8

11-8=3

Step17: 4-19

4+(-19)=-15

Step18: -2-6

-2+(-6)=-8

Step19: -1+(-12)

-(1+12)=-13

Step20: 8+(-4)

8-4=4

Step21: 10+(-25)

-(25-10)=-15

Step22: 19-(-5)

19+5=24

Step23: -15-(-7)

-15+7=-8

Step24: -6-(-13)

-6+13=7

Step25: -5×8

-(5×8)=-40

Step26: 8×11

8×11=88

Step27: -2×(-9)

2×9=18

Step28: 15×(-3)

-(15×3)=-45

Step29: -7×(-6)

7×6=42

Step30: -12×5

-(12×5)=-60

Step31: 24÷(-3)

-(24÷3)=-8

Step32: 60÷4

60÷4=15

Step33: 72÷(-8)

-(72÷8)=-9

Step34: -27÷(-9)

27÷9=3

Step35: 48÷(-4)

-(48÷4)=-12

Step36: -30/6

-(30/6)=-5

Step37: |20|

Absolute value is 20

Step38: |-9|

Absolute value is 9

Step39: |-16|+|-2|

16+2=18

Step40: |5|-|7|

5-7=-2

Step41: |4|+|-17|

4+17=21

Step42: |-9|-|-4|

9-4=5

Step43: |10-15|

|-5|=5

Step44: |-2-10|

|-12|=12

Step45: |2+(-19)|

|-17|=17

Answer:

1. -12
2. 8
3. 2
4. -125
5. -20
6. 3
7. >
8. <
9. <
10. >
11. -12, -7, -4, -1, 0, 2, 5
12. -25, -19, -15, -11, 3, 7, 24
13. 14
14. 12
15. -11
16. 3
17. -15
18. -8
19. -13
20. 4
21. -15
22. 24
23. -8
24. 7
25. -40
26. 88
27. 18
28. -45
29. 42
30. -60
31. -8
32. 15
33. -9
34. 3
35. -12
36. -5
37. 20
38. 9
39. 18
40. -2
41. 21
42. 5
43. 5
44. 12
45. 17