Signed numbers include all real numbers, positive or negative, except 0. In other words, signed numbers are all numbers that have a positive or negative sign. You usually don't put a plus sign in front of a positive number, though, unless you're doing math problems. When you see the number 7, you just assume that it's +7. The number 0 is the only number that isn't either positive or negative and doesn't have a plus or minus sign in front of it; it's the dividing place between positive and negative numbers.
As you work with signed numbers (and positive and negative values), here are the types of problems you'll do in this chapter:
Pay careful attention to the following items when working on the signed number problems in this chapter:
1–6 Determine the correct order of the numbers on the real number line.
1. Determine the order of the numbers:
−3, 4, −1, 0, −4
2. Determine the order of the numbers:
−3, 3, −2, 0, 1
3. Determine the order of the numbers:
4. Determine the order of the numbers:
5. Determine the order of the numbers:
6. Determine the order of the numbers:
7–10 Evaluate each expression involving absolute value.
7. |−4|
8. |−7.6|
9. −|−2|
10.
11–20 Find the sum of the signed numbers.
11. −4 + (−2) =
12. 2 + (−4) =
13. −2 + 4 =
14. −5 + 3 =
15. −6 + 6 =
16. 7 + (−2) =
17. 5 + (−4) + (−2) =
18. −1 + 2 + (−3) + 4 =
19. −67 + 68 + (−69) + 70 =
20. −4 + (−5) + (−6) + (−7) + 7 + 4 =
21–30 Find the difference between the signed numbers.
21. −4 − 6 =
22. 7 − (−8) =
23. 6 − 3 =
24. −9 − (−4) =
25. −7 − 7 =
26. −7 − (−7) =
28. −[−2] −3 =
29. −[−4] −(−4) =
30. 0 −(−5) =
31–50 Find the products and quotients involving signed numbers.
31. 2(−3) =
32. −4(−5) =
33. −5(6) =
34. 3(−1) =
35. (−7)(−7) =
36. (−8)(8) =
37.
38.
39. −2(0) =
40. (−1)(−1)(−1)(−1) =
41.
43.
44.
45.
46.
47.
48.
49.
50.