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galben [10]
3 years ago
13

Ein Autobahnteilstück von 12,3km Länge wird neu eröffnet. Die Breite beträgt 36 m. Wie groß ist die Fläche des Teilstücks?​

German
2 answers:
9966 [12]3 years ago
8 0
Du musst die beiden Zahlen multiplizieren
Westkost [7]3 years ago
7 0
Mach das bitte bei thema mathe
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A triangle has side lengths of (10a+9)(10a+9) centimeters, (8a-3)(8a−3) centimeters, and (10b+7)(10b+7) centimeters. Which expre
aleksley [76]

Answer:s

1.1 Multiplication and Division

1. (a) 20 (b) 21 (c) 36 (d) 42 (e) 45 (f) 18

(g) 28 (h) 49 (i) 40 (j) 8 (k) 9 (l) 4

(m) 7 (n) 7 (o) 9 (p) 0 (q) 0 (r) 0

2. (a) 3 (b) 7 (c) 4 (d) 8 (e) 3 (f) 4 (g) 9

(h) 7 (i) 3 (j) 7 (k) 4 (l) 5 (m) 2 (n) 4

(o) 7 (p) 0 (q) 0 (r) 0

3. 24

4. 27

5. (a) 16 (b) 28 (c) 32

6. (a) 6 (b) 3 (c) 4

7. 8

8. (a) 35 (b) 14 (c) 42

9. (a) Daniel 70p, Joel 56p (b) Daniel has 14p more than Joel

10. (a) 80 (b) 64 (c) 40

11. £6

12. (a) 9 (b) 7, with 1 left over

13. Team A: 7, Team B: 21, Team C: 14, Team D: 14 14. (a) 7 (b) 5

1.2 Squares, Cubes, Square Roots and Cube Roots

1. (a) 25 (b) 36 (c) 1 (d) 49 (e) 6 (f) 1 (g) 7

(h) 5

2. (a) 27 (b) 64 (c) 216 (d) 1000 (e) 3 (f) 10

(g) 6 (h) 4

3. (a) 100 (b) 4 (c) 16 (d) 49 (e) 64 (f) 81

(g) 1 (h) 343 (i) 512 (j) 0 (k) 0 (l) 8

4. (a) 10 (b) 2 (c) 9 (d) 8 (e) 4 (f) 3

5. (a) 144 (b) 121 (c) 3375 (d) 2197 (e) 169 (f) 225

(g) 400 (h) 1331 (i) 11 (j) 20 (k) 13 (l) 15

(m) 15 (n) 13 (o) 12 (p) 11

6. (a) 52 (b) 5 (c) 116 (d) 25 (e) 16 (f) 72

(g) 1001 (h) 100

MEP Pupil Text 1-6 Answers

252

1.3 Index Notation

1. (a) 45

(b) 33

(c) 67

(d) 74

(e) 183

(f) 192

(g) 46 (h) 75

(i) 106

(j) 1005

2. (a) 81 (b) 625 (c) 2401 (d) 10 000 (e) 1 (f) 729

(g) 128 (h) 2 (i) 4096 (j) 4 (k) 1 (l) 25

3. (a) 211 (b) 39

(c) 313 (d) 45

(e) 54

(f) 55

(g) 42 (h) 53

(i) 32 (j) 74

(k) 172 (l) 94

(m) 45

(n) 416 (o) 36 (p) 3 1 0 = (q) 3 3 1 =

(r) 35 (s) 37

(t) 47 (u) 50

4. (a) 22 (b) 23

(c) 24 (d) 26

(e) 33

(f) 52

(g) 43

(h) 34

(i) 53

5. (a) 313 (b) 28

(c) 411 (d) 310 (e) 29

(f) 210

(g) 35 (h) 37

(i) 35 (j) 810 (k) 73

(l) 92

(m) 2 4 4 2 or (n) 23

(o) 23

6. (a) 23

(b) 103

(c) 24 (d) 33

(e) 34

(f) 104

(g) 54

(h) 43

(i) 64

(j) 20 (k) 62

(l) 50

7. (a) 26

(b) 34

(c) 66

(d) 56

(e) 28

(f) 46

(g) 38

(h) 58

(i) 36

8. (a) 28

(b) 24 (c) 310 (d) 53

(e) 105 3

( ) (f) 75 4

( )

9. (a) 36 (b) 214 (c) 512 (d) 73

(e) 74

(f) 27

(g) 3 1 0 = (h) 4 4 1 = (i) 2 2 1 =

10. (a) a5

(b) a10 (c) x9 (d) x2 (e) y3

(f) p3

(g) q3

(h) x8

(i) b3

(j) b6

(k) c3

(l) x5

(m) y2

(n) x 0 = 1 (o) x8

(p) p4 (q) x3

(r) y4

(s) x 0 = 1 (t) x x 1 = (u) x12 (v) x8

(w) x15

(x) x54

11. (a) p = 3 (b) q = 0

12. 2 4 x

MEP Pupil Text 1-6 Answers

253

1.4 Factors

1. (a) 1, 2, 7, 14 (b) 1, 3, 9, 27 (c) 1, 2, 3, 6 (d) 1, 3, 5, 15

(e) 1, 2, 3, 6, 9, 18 (f) 1, 5, 25 (g) 1, 2, 4, 5, 8, 10, 20, 40

(h) 1, 2, 4, 5, 10, 20, 25, 50, 100 (i) 1, 3, 5, 9, 15, 45

(j) 1, 2, 5, 10, 25, 50 (k) 1, 2, 3, 4, 6, 9, 12, 18, 36 (l) 1, 2, 4, 7, 14, 28

2. (a) 1 10 2 5 5 2 10 1 × ×× × ,,, (b) 1 82 44 28 1 ×× × × ,,,

(c) 1 77 1 × × , (d) 1 93 39 1 ××× , ,

(e) 1 16 2 8 4 4 8 2 16 1 × ××× × ,,,, (f) 1 22 2 11 11 2 22 1 ×× ×× ,,,

(g) 1 11 11 1 × × ,

(h) 1 24 2 12 3 8 4 6 6 4 8 3 12 2 × × ×××× × , ,,,,, , 24 1 ×

3. (a) 4 (b) 3 (c) 3 (d) 4 (e) 5 (f) 4 (g) 11

(h) 1

4. (a) 6, 10, 20, 8, 2, 24, 4 (b) 10, 20, 15, 55

5. (a) (i) 20, 22, 24, 26 (ii) 21, 24, 27 (iii) 20, 25

(b) prime numbers

6. (a) (i) 16 (ii) 18 (b) (i) 25 (ii) 27

1.5 Prime Factors

1. 2, 3, 5, 7, 13, 19, 23

2. 53, 59

3. (a) 2 5 × (b) 237 × × (c) 2 17 2 × (d) 2 37 3 × ×

(e) 2 53 × (f) 23 5 3 × × (g) 3 11 13 × × (h) 3 5 11 2 × ×

(i) 7 11 13 × ×

4. (a) 32 25 = and 56 2 7 3 = × (b) 2 8 3 (= )

5. (a) 236 × = (b) 236 × = (c) 3 5 15 × = (d) 2

(e) 2 5 10 × = (f) 5 7 35 × = (g) 2 3 24 3 × =

(h) 2 3 13 78 ×× = (i) 3 7 147 2 × =

6. (a) 45 3 5 2 = × , 99 3 11 2 = × , 135 3 5 3 = ×

(b) (i) 3 9 2 = (ii) 3 9 2 = (iii) 3 5 45 2 × = (c) 3 9 2 =

7. (a) 5 (b) 3 5 45 2 × = (c) 2 8 3 = (d) 2 5 10 × =

(e) 2 3 24 3 × = (f) 2 3 5 30 ××= (g) 2 3 108 2 3 × =

(h) 2 11 44 2 × = (i) 2 3 7 252 2 2 × ×=

MEP Pupil Text 1-6 Answers

254

1.6 Further Index Notation

1. (a) 1

16 (b) 1

8

(c) 1

6

(d) 1

7

(e) 3 (f) 8 (g) 2

(h) 3 (i) 1 (j) 1

25 (k) 8 (l) 32 (m) 2187

(n) 125 (o) 1

2

2. (a) – 4 (b) – 1 (c) – 3 (d) 1

2

(e) − 1

2

(f) 2

(g) 3 (h) – 1 (i) 1

3

(j) – 1 (k) – 2 (l) – 2

(m) – 3 (n) 1

2

(o) – 2 (p) 1

3

(q) 2

3

(r) 2

5

3. (a) 0.125 (b) 0.05 (c) 2 (d) 4 (e) 1

225 = 0 004444 . ...

(f) 0.000125 (g) 729 (h) 27 (i) 1

2

(j) 1728

(k) 62748517 (l) 1331

4. (a) 1

a

(b) a10 (c) a4 (d) 1

6 a

(e) 1

2 a

(f) 1

6 a

(g) a8

(h) a

5

2 (i) 1

3

2 a

(j) a2 (k) 1

3 a

(l) a3

(m) a

b

2

2 (n) a

b

6

12 (o) a b 12 2 (p) b

a

4

4 (q) a

b

8

12

(r) m

n

2

6 (s) a

b

3

5 (t) m

a

2

(u) c

a b

3

4 (v) x

m2

(w) z

x y

12

8 4 (x) b

a

16

3

2

5. (a) 1

9

(b) a4 (c) y = 5

2

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