Operaciones con números enteros

NÚMEROS ENTEROS. OPERACIONES

1. Realiza las siguientes operaciones:

a) (+5) + (-3) =
b) (+7) – (–4) – (+12) =
c) (–2) + (–3) – (+4) =
d) –(+4) – (–5) + (–7) =
e) (–374) + (–47) =
f) –(–37) – (–15) + (–7) =

2. Realiza las siguientes operaciones:

a) (–4) · (–2) · (+5) =
b) (+3) · (–6) : (–2) =
c) (–2) · (+7) · (–5) =
d) (–4) : (+2) =
e) (–7) · (+2) · (–2) : (–4) =
f) –[(–4) · (–3) : (–2)] =

3. Realiza las siguientes operaciones:

a) 3 · (2 + 5) – 6 · 5 + 2 · (3 – 4) – (6 – 8) =
b) 1 – [6 · (2 + 3) – (4 + 1) · 2] · 2 =
c) 4 + 7 · (4 + 5) – 8 · (9 – 7) + (–7 – 2) =
d) 3 + 2 · 3 · ( 4 · 2) – ( 6 – 7) – 2 · 4 · (–1) =
e) 1 + (3 + 4 · 2 – 6) · 2 – (5 – 7) · 2 =
f) 3 – 4 · (2 – 3) · 2 + ( 4 + 3 + 2) · (–1) · 2 =

4. Realiza las siguientes operaciones:

a) 2 – [3 – (2 – 5) · 3 + 2 · (1 – 3) · (–2)] + 5 =
b) 4 – 5 · {2 – 3 · [–4 + 2 · (5 – 4) · (–1)] · (–1)} · (–1) =
c) 8 – [4 + (2 – 5) · 2 – 6 · 3 + (6 – 2)] · (–1) + 5 · (–3 – 2) =
d) 1 – {2 – [3 · (4 – 5) · 2 – 3] · 2} · (–2) =
e) 2 · {2 · [–2 · (–5 + 4) · 2] + 1 } · (–2) =
f) 6 – 4 · (–1 – 2) – 3 · 2 · (2 · 4) · (–1) =

5. Realiza las siguientes operaciones:

a) (–2)3 =
b) –(+4)3 =
c) (-2)2 · (–3)3 =
d) (–5)3 · [(–3) + (–2)] =
e) (–5)3 · (–5)2 =
f) (–5)3 : (–5)2 =
g) [(–2)3 · (–2)2] : (–2) =

NÚMEROS ENTEROS. OPERACIONES
(Soluciones)

1. Realiza las siguientes operaciones:

a) (+5) + (-3) = (+2)
b) (+7) – (–4) – (+12) = (–1)
c) (–2) + (–3) – (+4) = (–9)
d) –(+4) – (–5) + (–7) = (–6)
e) (–374) + (–47) = (–421)
f) –(–37) – (–15) + (–7) = (+45)

2. Realiza las siguientes operaciones:

a) (–4) · (–2) · (+5) = (+40)
b) (+3) · (–6) : (–2) = (+9)
c) (–2) · (+7) · (–5) = (+70)
d) (–4) : (+2) = (–2)
e) (–7) · (+2) · (–2) : (–4) = (–7)
f) –[(–4) · (–3) : (–2)] = (+6)

3. Realiza las siguientes operaciones:

a) 3 · (2 + 5) – 6 · 5 + 2 · (3 – 4) – (6 – 8) = (–9)
b) 1 – [6 · (2 + 3) – (4 + 1) · 2] · 2 = (–39)
c) 4 + 7 · (4 + 5) – 8 · (9 – 7) + (–7 – 2) = (+42)
d) 3 + 2 · 3 · ( 4 · 2) – ( 6 – 7) – 2 · 4 · (–1) = (+60)
e) 1 + (3 + 4 · 2 – 6) · 2 – (5 – 7) · 2 = (+15)
f) 3 – 4 · (2 – 3) · 2 + ( 4 + 3 + 2) · (–1) · 2 = (–7)

4. Realiza las siguientes operaciones:

a) 2 – [3 – (2 – 5) · 3 + 2 · (1 – 3) · (–2)] + 5 = (–13)
b) 4 – 5 · {2 – 3 · [–4 + 2 · (5 – 4) · (–1)] · (–1)} · (–1) = (+76)
c) 8 – [4 + (2 – 5) · 2 – 6 · 3 + (6 – 2)] · (–1) + 5 · (–3 – 2) = (–1)
d) 1 – {2 – [3 · (4 – 5) · 2 – 3] · 2} · (–2) = (+41)
e) 2 · {2 · [–2 · (–5 + 4) · 2] + 1 } · (–2) = (–36)
f) 6 – 4 · (–1 – 2) – 3 · 2 · (2 · 4) · (–1) = (+66)

5. Realiza las siguientes operaciones:

a) (–2)3 = (–8)
b) –(+4)3 = (–64)
c) (-2)2 · (–3)3 = (–108)
d) (–5)3 · [(–3) + (–2)] = (+625)
e) (–5)3 · (–5)2 = (–5)5 = (–3 125)
f) (–5)3 : (–5)2 = (–5)
g) [(–2)3 · (–2)2] : (–2) = (–2)4 = (+16)