Easy Algebra Step-by-Step

12 Easy Algebra Step-by-Step c.^3 4 5 6 5 6 3 4 ⋅=⋅ Solution Step 1. Recall the 11 fi eld properties: closure property of additi ...

Numbers of Algebra 13 Exercise 1 For 1–10, list all the sets in the real number system to which the given number belongs. (State ...

14 2 Computation with Real Numbers This chapter presents the rules for computing with real numbers—often called signed numbers. ...

Computation with Real Numbers 15 Problem Which is greater –7 or –2? Solution Step 1. Graph –7 and –2 on a number line. –8 –7 –6 ...

16 Easy Algebra Step-by-Step b.^04 Step 1. Recalling that the absolute value of a real number is its distance from 0 on the numb ...

Computation with Real Numbers 17 Step 2. Compare the absolute values. − 60 has the greater absolute value because 60 > 35. c. ...

18 Easy Algebra Step-by-Step Rule 2. To add two numbers that have opposite signs, subtract the lesser absolute value from the gr ...

Computation with Real Numbers 19 Step 2. Subtract 35 from 60 because − 60 > 35. 60 −= 3535 25 Step 3. Make the sum negative b ...

20 Easy Algebra Step-by-Step e.^2 9 7 9 +− Step 1. Determine which addition rule applies. 2 9 7 9 +− The signs are opposites (on ...

Computation with Real Numbers 21 You subtract signed numbers by changing the subtraction problem to an addition problem in a spe ...

22 Easy Algebra Step-by-Step c. 60 − 35 Step 1. Keep 60. 60 Step 2. Add the opposite of 35. =+ 60 − 35 d. −− 35 ()− 60 Step 1. K ...

Computation with Real Numbers 23 Cultivate the habit of reviewing your main results. Doing so will help you catch careless mista ...

24 Easy Algebra Step-by-Step d. −−^35 ()−^60 Step 1. Keep − 35 and add the opposite of − 60. −− 35 ()− =− 35 + 60 Step 2. The si ...

Computation with Real Numbers 25 Don’t make the error of referring to negative numbers as “minus numbers.” The minus symbol alwa ...

26 Easy Algebra Step-by-Step Multiplication and Division of Signed Numbers For multiplication of signed numbers, use the followi ...

Computation with Real Numbers 27 Step 3. Keep the product positive. () 3 () 40 = 120 c. ())()( Step 1. Determine which multiplic ...

28 Easy Algebra Step-by-Step Rules 5, 6, and 7 tell you how to multiply two numbers, but often you will want to fi nd the produc ...

Computation with Real Numbers 29 Division of Signed Numbers Rule 8. To divide two numbers, divide their absolute values (being c ...

30 Easy Algebra Step-by-Step Step 2. The signs are opposites (one negative and one positive), so make the quotient negative. − = ...

Computation with Real Numbers 31 Exercise 2 For 1–3, simplify. − 45 58 3. − 52 3 For 4 and 5, state in words. − 9 +−()(− =− 9 ...