Unidad1

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SOLUCIONES A LOS EJERCICIOS
DE LA UNIDAD
Pág. 1

PÁGINA 35
EJERCICIOS DE LA UNIDAD
Suma y resta de enteros

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Calcula:
a) 5 – 3 – 7 + 1 + 8
b) 2 – 3 + 4 + 1 – 8 + 2
c) 1 – 3 + 5 – 7 + 9 – 11
d) 2 + 4 – 6 – 8 + 10 – 12 + 14
a) 5 – 3 – 7 + 1 + 8 = (5 + 1 + 8) – (3 + 7) = 14 – 10 = 4
b) 2 – 3 + 4 + 1 – 8 + 2 = (2 + 4 + 1 + 2) – (3 + 8) = 9 – 11 = –2
c) 1 – 3 + 5 – 7 + 9 – 11 = (1 + 5 + 9) – (3 +7 + 11) = 15 – 21 = –6
d) 2 + 4 – 6 – 8 + 10 – 12 + 14 = (2 + 4 + 10 + 14) – (6 + 8 + 12) = 30 – 26 = 4

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Quita paréntesis:
a) a + (b + c)

b) a – (b + c)

c) a + (b – c)

d) a – (b – c)

a) a + (b + c) = a + b + c

b) a – (b + c) = a – b – c

c) a + (b – c) = a + b – c

d) a – (b – c) = a – b + c

Quita paréntesis y después opera:
a) 1 – (7 – 2 – 10) – (3 – 8)

b) (8 – 4 – 3) – (5 – 8 – 1)c) (3 – 5) – (1 – 4) + (5 – 8)

d) 3 – (5 – 8) – (11 – 4) + (13 – 9)

a) 1 – (7 – 2 – 10) – (3 – 8) = 1 – 7 + 2 + 10 – 3 + 8 = (1 + 2 + 10 + 8) – (3 + 7) =
= 21 – 10 = 11
b) (8 – 4 – 3) – (5 – 8 – 1) = 8 – 4 – 3 – 5 + 8 + 1 = (8 + 8 + 1) – (4 + 3 + 5) =
= 17 – 12 = 5
c) (3 – 5) – (1 – 4) + (5 – 8) = 3 – 5 – 1 + 4 + 5 – 8 = (3 + 4 + 5) – (5 + 1 + 8) =
= 12 – 14 = –2
d) 3 – (5 – 8) – (11 – 4) + (13– 9) = 3 – 5 + 8 – 11 + 4 + 13 – 9 =
= (3 + 8 + 4 + 13) – (5 + 11 + 9) = 28 – 25 = 3

Unidad 1. Números enteros y divisibilidad

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SOLUCIONES A LOS EJERCICIOS
DE LA UNIDAD
Pág. 2

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Calcula operando primero dentro de los paréntesis:
a) (2 – 6 – 3) + (5 – 3 – 1) – (2 – 4 – 6)
b) (8 – 11 – 5) – (12 – 13) + (11 + 4)
c) 15 + (6 – 18 + 11) – (7 + 15 – 19) + (1 – 3 – 6)
a) (2 – 6 – 3) + (5 – 3 – 1)– (2 – 4 – 6) = (–7) + (1) – (– 8) = –7 + 1 + 8 = 2
b) (8 – 11 – 5) – (12 – 13) + (11 + 4) = (– 8) – (–1) + (15) = –8 + 1 + 15 = 8
c) 15 + (6 – 18 + 11) – (7 + 15 – 19) + (1 – 3 – 6) = 15 + (–1) – (3) + (– 8) =
= 15 – 1 – 3 – 8 = 3

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Quita paréntesis y calcula:
a) 3 – [(5 – 8) – (3 – 6)]
b) 1 – (3 – [4 – (1 – 3)])
c) (2 + 7) – (5 – [6 – (10 – 4)])
a) 3 – [(5 – 8) – (3 – 6)] = 3 – [(–3) – (–3)] = 3– [–3 + 3] = 3
b) 1 – (3 – [4 – (1 – 3)]) = 1 – (3 – [4 – (–2)]) = 1 – (3 – 6) = 1 + 3 = 4
c) (2 + 7) – (5 – [6 – (10 – 4)]) = 9 – (5 – [6 – 6]) = 9 – 5 = 4

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7

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Calcula:
a) (–7) · (+11)

b) (–6) · (–8)

b) (+5) · (+7) · (–1)

d) (–2) · (–3) · (–4)

a) (–7) · (+11) = –77

b) (–6) · (–8) = 48

c) (+5) · (+7) · (–1) = –35

d) (–2) · (–3) · (–4) = –24

Opera:
a) (– 45) : (+3)

b) (+85) : (+17)b) (+36) : (–12)

d) (–85) : (–5)

a) (–45) : (+3) = –15

b) (+85) : (+17) = 5

c) (+36) : (–12) = –3

d) (–85) : (–5) = 17

Opera las expresiones siguientes:
a) (+400) : (–40) : (–5)
c) (+7) · (–20) : (+10)
e) (+300) : (+30) · (–2)

Unidad 1. Números enteros y divisibilidad

b) (+400) : [(–40) : (–5)]
d) (+7) · [(–20) : (+10)]
f) (+300) : [(+30) · (–2)]

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SOLUCIONES A LOS EJERCICIOS
DE LAUNIDAD
Pág. 3

a) (+400) : (–40) : (–5) = (–10) : (–5) = 2
b) (+400) : [(–40) : (–5)] = (+400) : (+8) = 50
c) (+7) · (–20) : (+10) = –140 : 10 = –14
d) (+7) · [(–20) : (+10)] = 7 · (–2) = –14
e) (+300) : (+30) · (–2) = 10 · (–2) = –20
f ) (+300) : [(+30) · (–2)] = 300 : (–60) = –5

Operaciones combinadas

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Calcula:
a) 6 · 4 – 5 · 6 – 2 · 3
b) 15 – 6 · 3 + 2 · 5 – 4 · 3
c) 5 · (–4) + (–2) · 4 – 6 ·(–5) – 3 · (– 6)
d) 18 – 3 · 5 + 5 · (–4) – 3 · (–2)
a) 6 · 4 – 5 · 6 – 2 · 3 = 24 – 30 – 6 = –12
b) 15 – 6 · 3 + 2 · 5 – 4 · 3 = 15 – 18 + 10 – 12 = –5
c) 5 · (–4) + (–2) · 4 – 6 · (–5) – 3 · (–6) = –20 – 8 + 30 + 18 = 20
d) 18 – 3 · 5 + 5 · (–4) – 3 · (–2) = 18 – 15 – 20 + 6 = –11

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Opera estas expresiones:
a) (–5) · (8 – 13)
b) (2 + 3 – 6) · (–2)
c) (+4) · (1 – 9 + 2) : (–3)
d) (–12 – 10) :(–2 – 6 – 3)
a) (–5) · (8 – 13) = (–5) · (–5) = 25
b) (2 + 3 – 6) · (–2) = (–1) · (–2) = 2
c) (+4) · (1 – 9 + 2) : (–3) = 4 · (–6) : (–3) = (–24) : (–3) = 8
d) (–12 – 10) : (–2 – 6 – 3) = (–22) : (–11) = 2

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Calcula:
a) 13 – [8 – (6 – 3) – 4 · 3] : (–7)
b) 5 · (8 – 3) – 4 · (2 – 7) – 5 · (1 – 6)
c) 12 · (12 – 14) – 8 · (16 – 11) – 4 · (5 – 17)

Unidad 1. Números enteros y divisibilidad

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