Soluciones a “Ejercicios y problemas”

4
Soluciones a “Ejercicios y problemas”
PÁGINA 91
Pág. 1
■ 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
Unidad 4. Los números enteros
4
Soluciones a “Ejercicios y problemas”
17
Calcula como en el ejemplo.
Pág. 2
• (– 4) · (2 – 7) = (–4) · (–5) = +20
18
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
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
Unidad 4. Los números enteros
4
Soluciones a “Ejercicios y problemas”
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
Unidad 4. Los números enteros
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