Soluciones a “Ejercicios y problemas”Soluciones a “Ejercicios y problemas”4

Unidad 4. Los números enteros

PÁGINA 91

■ Multiplicación y división

11 Resuelto en el libro del alumno.

12 Opera como en el ejercicio resuelto anterior.

a) (–18) : [(+6) · (–3)] b) [(–18) : (+6)] · (–3)

c) (+54) : [(–6) : (+3)] d) [(+54) : (–6)] : (+3)

a) (–18) : [(+6) · (–3)] = (–18) : [–18] = +1

b) [(–18) : (+6)] · (–3) = [–3] · (–3) = +9

c) (+54) : [(–6) : (+3)] = (+54) : [–2] = –27

d) [(+54) : (–6)] : (+3) = [–9] : (+3) = –3

13 Resuelto en el libro del alumno.

14 Efectúa como en el ejercicio resuelto anterior.

a) 2 · 7 – 3 · 4 – 2 · 3 b) 30 : 6 – 42 : 7 – 27 : 9

c) 3 · 5 – 4 · 6 + 5 · 4 – 6 · 5 d) 5 · 4 – 28 : 4 – 3 · 3

a) 2 · 7 – 3 · 4 – 2 · 3 = –4

b) 30 : 6 – 42 : 7 – 27 : 9 = –4

c) 3 · 5 – 4 · 6 + 5 · 4 – 6 · 5 = –19

d) 5 · 4 – 28 : 4 – 3 · 3 = 4

15 Resuelto en el libro del alumno.

16 Resuelve como en el ejercicio resuelto anterior.

a) 20 – (–6) · (–4)

b) (–2) · (–5) + (+4) · (–3)

c) (–8) · (+2) – (+5) · (–4)

d) (–5) – (+4) · (–3) – (–8)

e) 14 – (+5) · (–4) + (–6) · (+3) + (–8)

a) 20 – (–6) · (–4) = 20 – (+24) = 20 – 24 = –4

b) (–2) · (–5) + (+4) · (–3) = (+10) + (–12) = 10 – 12 = –2

c) (–8) · (+2) – (+5) · (–4) = (–16) – (–20) = –16 – 20 = +4

d) (–5) – (+4) · (–3) – (–8) = (–5) – (–12) – (–8) = –5 + 12 + 8 = 15

e) 14 – (+5) · (–4) + (–6) · (+3) + (–8) = 14 – (–20) + (–18) + (–8) =

= 14 + 20 – 18 – 8 = 8

Pág. 1

Soluciones a “Ejercicios y problemas”Soluciones a “Ejercicios y problemas”4

Unidad 4. Los números enteros

17 Calcula como en el ejemplo.

• (–4) · (2 – 7) = (–4) · (–5) = +20

a) 3 · (3 – 5) b) 4 · (8 – 6)

c) (–4) · (6 – 10) d) (–5) · (2 – 9)

e) 16 : (1 – 5) f ) (–35) : (9 – 2)

g) (5 + 7) : (–4) h) (12 – 4) : (–2)

a) 3 · (3 – 5) = –6 b) 4 · (8 – 6) = +8

c) (–4) · (6 – 10) = +16 d) (–5) · (2 – 9) = +35

e) 16 : (1 – 5) = –4 f ) (–35) : (9 – 2) = –5

g) (5 + 7) : (–4) = –3 h) (12 – 4) : (–2) = –4

18 Opera estas expresiones:

a) 35 + 7 · (6 – 11)

b) 60 : (8 – 14) + 12

c) (9 – 13 – 6 + 9) · (5 – 11 + 7 – 4)

d) (6 + 2 – 9 – 15) : (7 – 12 + 3 – 6)

e) –(8 + 3 – 10) · [(5 – 7) : (13 – 15)]

a) 35 + 7 · (6 – 11) = 0

b) 60 : (8 – 14) + 12 = +2

c) (9 – 13 – 6 + 9) · (5 – 11 + 7 – 4) = +3

d) (6 + 2 – 9 – 15) : (7 – 12 + 3 – 6) = +2

e) –(8 + 3 – 10) · [(5 – 7) : (13 – 15)] = –1

19 Resuelto en el libro del alumno.

20 Calcula como en el ejercicio resuelto anterior.

a) (–3) · [(–9) – (–7)]

b) 28 : [(–4) + (–3)]

c) [(–9) – (+6)] : (–5)

d) (–11) – (–2) · [15 – (+11)]

e) (+5) – (–18) : [(+9) – (+15)]

f ) (–4) · [(–6) – (–8)] – (+3) · [(–11) + (+7)]

g) [(+5) – (+2)] : [(–8) + (–3) – (–10)]

a) (–3) · [(–9) – (–7)] = (–3) · [–2] = +6

b) 28 : [(–4) + (–3)] = 28 : [–7] = –4

c) [(–9) – (+6)] : (–5) = [–15] : (–5) = +3

Pág. 2

Soluciones a “Ejercicios y problemas”Soluciones a “Ejercicios y problemas”4

Unidad 4. Los números enteros

d) (–11) – ( – 2) · [15 – (+11)] = (–11) – (–2) · [+4] = –11 + 8 = –3

e) (+5) – (–18) : [(+9) – (+15)] = 5 – (–18) : [–6] = 5 – 3 = 2

f ) (–4) · [(–6) – (–8)] – (+3) · [(–11) + (+7)] = (–4) · [+2] – (+3) · [–4] =

= –8 + 12 = 4

g) [(+5) – (+2)] : [(–8) + (–3) – (–10)] = [+3] : [–1] = +3

21 Opera.

a) 8 + (4 – 9 + 7) · 2 + 4 · (3 – 8 + 4)

b) 4 · [(+5) + (–7)] – (–3) · [7 – (+3)]

c) (–3) · (+11) – [(–6) + (–8) – (–2)] · (+2)

d) (–6) · [(–7) + (+3) – (7 + 6 – 14)] – (+7) · (+3)

a) 8 + (4 – 9 + 7) · 2 + 4 · (3 – 8 + 4) = 8

b) 4 · [(+5) + (–7)] – (–3) · [7 – (+3)] = 4

c) (–3) · (+11) – [(–6) + (–8) – (–2)] · (+2) = 9

d) (–6) · [(–7) + (+3) – (7 + 6 – 14)] – (+7) · (+3) = –3

Pág. 3