Fractions and Decimals - Edl · 2018-05-17 · Honors Math 6 Summer Work Name_____ Fractions and...
Transcript of Fractions and Decimals - Edl · 2018-05-17 · Honors Math 6 Summer Work Name_____ Fractions and...
Honors Math 6 Summer Work Name______________________
Fractions and Decimals
Write each as a decimal. Use repeating decimals when necessary. SHOW YOUR WORK.
1
42
3
5
5
8
3
5
7
200
8
33
Write each as a fraction . SHOW YOUR WORK.
2.2 1.6
0.08 0.27
1.76 0.09
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Add/Subtracting Fractions and Mixed Numbers
Evaluate each expression and write your answer in simplest terms.
.
2
5 +
4
5
1
3 −
1
3
6 −1
67
6 −
5
6
9
5 −
5
8 (− 1
3 ) + 3
8
(−17
8 ) + (−31
2 ) (−33
5 ) − 42
5
Multiplying/Dividing Fractions and Mixed Numbers
Find each product or uotient. rite your answer in simplest terms.
.
2
3 ⋅
5
4
−2 ⋅3
7
1
4⋅ 9
−21
5⋅ −1
3
4
−3
2÷
−10
7
1
2÷
8
7
−9
5÷ 2
5
9÷ 3
−2 ÷ −34
5
1
9÷ −1
1
3
Multiplying/Dividing Fractions and Mixed Numbers
Find each product or uotient. rite your answer in simplest terms.
.
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now.
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ups o lour and up o utter. t e students a e plenty o t e ot er in redients t ey need su ar
salt a in soda et . ow many w ole at es o a do en oo ies an t ey ma e
. ou are stu in a i tra i am on t e reeway and you are wonderin ow lon it will ta e to et
to t e ne t e it w i is / miles away. ou are timin your pro ress and ind t at you an tra el /
o a mile in one our. you ontinue to ma e pro ress at t is rate ow lon will it e until you rea
t e e it ol e t e pro lem wit a dia ram and e plain your answer.
Integers and Absolute Value
State the integer that best describes each.
1. 5 yard gain
2. a withdrawal of $40
3. the stock rose 8 points
4. 20 seconds before blastoff
5. a bill for $15
6. a profit of $22
7. 9º below zero
8. 125 feet below sea level
9. a bank deposit of $35
10. sea level
Evaluate.
| –7 | | 15 | | 0 |
– | 5 | – | –3 | | –7 | – | 4 |
| –2 | + |15 | | 9 | – | –4 | – | –101 |
| – 17 | – | 17 | | –13 | + | –3 | | 8 | – | –7 |
MIXED INTEGER PRACTICE
Solve WITHOUT A CALCULATOR.
–9 +13 (–7)(–5) 18 – (–6)
–3 – (–7) –9 – 18 303
−−
8(–7) –18 + (–13) –9 x (–5)
–19 + 11 6 – (–15) –54 ÷ (–6)
| –8 | – (–3) –19 + (–7) 408−
| –5 | – |–9 | –19 x | –3 | –10 – (–31)
7 + (–11) 7218−
–14 – (–11)
–9 + 18 14(–7) –12 + (–9)
– 46 ÷ (–2) 8 + (–22) –45 ÷ 9
–9 + (–3) –9(–4) –12 – 19
PROPERTIES OF ADDITION / MULTIPLICATION
Name of Properties Example
1. Commutative Property of Addition a + b = b + a 2. Commutative Property of Multiplication ab = ba 3. Associative Property of Addition (a + b) + c = a + (b + c) 4. Associative Property of Multiplication (ab)c = a(bc) 5. Distributive Property a(b + c) = ab + ac 6. Identity Property of Addition a + 0 = 0 + a = a 7. Identity Property of Multiplication a •1 = 1 • a = a 8. Inverse Property of Addition a + (–a) = –a + a = 0
9. Inverse Property of Multiplication a • 1a
= 1a
• a = 1
Write the number of the property that describes each of the following.
_________ _________ _________ _________
1. 9 • 5 = 5 • 92. 7 + (4 + 8) = (7 + 4) + 83. 7 + 0 = 74. 5(6 + 4) = 5(6) + 5(4)5. –4 + 4 = 0 _________
6. 10 ( 110
) = 1 _________
7. –9 • 1 + -98. c + (–c) = 09. 8(6 • 5) = (8 • 6) • 510. xy = yx11. e + (f + g) = (e + f) + g12. 4 + (7 + 2) = 4 + (2 + 7)13. 6(x + 3) = 6x + 6 • 314. 0 + 13 = 1315. ½ • 2 = 1
_________ _________ _________ _________ _________ _________ _________ _________ _________
6 + 4(3 + 2) – 12 ÷ 4 4 + 8 ÷ 2
3 • 4² ÷ 12 + (8 – 2) 18 ÷ 6 ÷ 3
10 – (7 – 2) 17 – 4(12 – 2 • 6) + 3
17 – (3 + 4 • 2) 3² x (7 + 1) – 8 x 2 ÷ 4
21 – 7 x 2 + 4 6 + 2 x 4² – 3 ÷ 3
Order of OperationsSHOW YOUR WORK.
Read carefully and solve. SHOW YOUR WORK.
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An elevator is on the twentieth floor. It goes down 11 floors and then up5 floors. What floor is the elevator on now?
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While watching a football game, Lin Chow decided to list yardagegained as positive integers and yardage lost as negative integers. Afterthese plays, Lin recorded 14, –7, and 9. What was the net gain or loss?
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