Adding and Subtracting Rational Numbers

Adding​ ​and​ ​Subtracting​ ​Rational​ ​Numbers CLASSWORK​ ​–​ ​7.NS.A.1cd​ ​-​ ​7th​ ​Grade​ ​**​Non​ ​Calculator** Name:___________________________________________________​ ​ ​Class​ ​Period:​ ​ ​_______​ ​ ​ ​Date:​ ​_____________________________ 1. Which​ ​of​ ​the​ ​following​ ​has​ ​the​ ​greatest​ ​value? a. ​ ​3​ ​+​ ​7​ ​−​ ​(−10)

c.​ ​ ​ ​ ​3​ ​+​ ​7​ ​+​ ​(−10)

b. ​ ​ ​3​ ​−​ ​7​ ​−​ ​(−10)

d.​ ​ ​ ​ ​3​ ​−​ ​7​ ​+​ ​(−10)

2. You​ ​want​ ​to​ ​simplify​ ​the​ ​expression​ ​below. 4.5​ ​+(-4.5​ ​+​ ​2.6) You​ ​feel​ ​you​ ​can​ ​simplify​ ​this​ ​more​ ​easily​ ​by​ ​using​ ​the​ ​associative​ ​property.​ ​ ​How​ ​can​ ​your expression​ ​be​ ​written​ ​using​ ​the​ ​associative​ ​property​? ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​a.​ ​(-4.5​ ​+​ ​2.6)​ ​+​ ​4.5

​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​c.​ ​ ​(-4.5)​ ​+​ ​(2.6+​ ​4.5)

b.​ ​ ​(4.5​ ​+​ ​-4.5)​ ​+2.6

d.​ ​ ​4.5​ ​+​ ​(2.6​ ​+-4.5)

3. Amanda​ ​is​ ​making​ ​chocolate​ ​chip​ ​cookies.​ ​ ​She​ ​needs​ ​to​ ​add​ ​3 12 cups​ ​of​ ​chocolate​ ​chips.​ ​ ​Amanda accidently​ ​poured​ ​4 14 cups​ ​of​ ​chips​ ​into​ ​the​ ​measuring​ ​cup.​ ​ ​ ​ ​How​ ​much​ ​will​ ​she​ ​need​ ​to​ ​remove?

4. ​ ​ ​Douglas​ ​had​ ​a​ ​balance​ ​of​ ​-$51.75​​ ​in​ ​his​ ​checking​ ​account.​ ​ ​After​ ​depositing​ ​his​ ​graduation​ ​money, he​ ​now​ ​has​ ​a​ ​balance​ ​of​ ​$150.75. The​ ​overall​ ​change​ ​in​ ​his​ ​account​ ​is

.

5. Andy​ ​is​ ​strapped​ ​to​ ​a​ ​hang​ ​glider​ ​and​ ​jumps​ ​from​ ​the​ ​edge​ ​of​ ​the​ ​Grand​ ​Canyon​ ​(ground​ ​level).​ ​ ​He initially​ ​drops​ ​4​ ​feet,​ ​then​ ​catches​ ​an​ ​air​ ​current​ ​and​ ​rises​ ​12.75​ ​feet.​ ​ ​He​ ​suddenly​ ​drops​ ​an additional​ ​7​ ​feet​ ​then​ ​levels​ ​off. Andy’s​ ​final​ ​position​ ​relative​ ​to​ ​the​ ​ground​ ​level​ ​is

feet.

​ ​ ​ ​ ​ ​ ​ ​6.​ ​ ​ ​You​ ​put​ ​your​ ​extra​ ​coins​ ​in​ ​your​ ​piggy​ ​bank​ ​each​ ​day.​ ​ ​You​ ​also​ ​take​ ​coins​ ​out​ ​as​ ​you​ ​need​ ​them. ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​Below​ ​is​ ​a​ ​chart​ ​which​ ​shows​ ​this​ ​past​ ​week’s​ ​change​ ​in​ ​the​ ​amount​ ​of​ ​money​ ​in​ ​your​ ​piggy​ ​bank. How​ ​much​ ​did​ ​the​ ​amount​ ​of​ ​money​ ​in​ ​your​ ​piggy​ ​bank​ ​change​ ​from​ ​Monday​ ​to​ ​Friday? Monday Tuesday Wednesday Thursday Friday

You​ ​deposited​ ​$1.37 You​ ​withdrew​ ​$2.45 You​ ​neither​ ​withdrew​ ​nor​ ​added​ ​change. You​ ​deposited​ ​$0.56 You​ ​deposited​ ​$0.52

​ ​ ​ ​ ​ ​ ​ ​ ​ ​7.​ ​ ​ ​You​ ​are​ ​given​ ​the​ ​expression​ ​below.

5 9

−

3 5

−

2 9

Part​ ​A Rewrite​ ​the​ ​expression​ ​above,​ ​using​ ​the​ ​commutative​ ​property​,​ ​to​ ​make​ ​it​ ​easier​ ​to​ ​simplify. Part​ ​B Simplify​ ​your​ ​expression​ ​in​ ​Part​ ​A.​ ​ ​Show​ ​or​ ​explain​ ​how​ ​you​ ​got​ ​your​ ​answer.