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Name: PracticingIntegersandAbsoluteValue
Simplifythefollowingexpressionusingtherulesabovewithoutusingacalculator.
1.
5+(-2)
2.
4+(-1)
3.
9+(-7)
4.
-10+5
5.
-9+2
6.
-12+8
7.
-3+(-7)
8.
-12+(-4)
9.
-13+(-16)
10.
-4+3+6
11.
8+(-10)+(-5)
12.
5+(-4)+(-2)+(-9)
13. 5 − (−3)
14.−7 − (2)
15.– (−5)
16.Findtheabsolutevalue:
a)
| -7 |
b)
| 22 |
c)
| 5 | + | -3 |
d)
| 27 |
e)
| 6 + (-4) |
f)
| -3 | + | -9 |
17.Judylost15pounds.UseabsolutevaluetorepresentthenumberofpoundsJudylost.
*
,
+
-
18.Whichisfartherfromzero:−7 or7 ?Useabsolutevaluetodefendyouranswer.
19.Juliausedabsolutevaluetofindthedistancebetween0and6onanumberline.Shethen
wroteasimilarstatementtorepresentthedistancebetween0and−6.Belowisherwork.Is
itcorrect?Explain.
|6| = 6and| − 6| = −6
20.Foreachofthefollowingtwoquantitiesinproblems,circlethenumberwiththegreater
magnitude(absolutevalue)?
a) 33dollarsand−52dollars
b) −14feetand23feet
c) −24.6poundsand−24.58pounds
,
d) −11 degreesand11degrees +
21.Forproblems5–7,answertrueorfalse.Iffalse,explainwhy.
a) Theabsolutevalueofanegativenumberwillalwaysbeapositivenumber.
b) Theabsolutevalueofanynumberwillalwaysbeapositivenumber.
c) Positivenumberswillalwayshaveahigherabsolutevaluethannegativenumbers.
22.Writeawordproblemwhosesolutionis:|20| = 20.
23.Writetheintegerthatrepresenteachstatement.
a) Theoppositeofagainof6.
b) Theoppositeofadepositof$10.
c) Theoppositeoftheoppositeof0. d) Theoppositeoftheoppositeof4. e) –(-5)=
f) –(-23)=