Enteros - Cepasanfrancisco.edurioja.org

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4Soluciones a las actividades de cada epígrafe 9 Opera como en el ejercicio resuelto anterior. a) [(+6) · (–4)] : (–3) b) [(–15) · (–2)] : (+6) c) (–5) · [(+12) : (–3)] d) [(–5) · (+12)] : (–3) a) [(+6) · (–4)] : (–3) = [–24] : (–3) = +8 b) [(–15) · (–2)] : (+6) = [+30] : (+6) = +5 c) (–5) · [(+12) : (–3)] = (–5) · [–4] = +20 d) [(–5) · (+12)] : (–3) = [–60] : (–3) = +20 10 Calcula. a) 5 · (–4) + 2 · (–3) b) 20 : (–5) – 8 : (+2) c) 2 · (–8) – 3 · (–7) – 4 · (+3) d) 6 : (+2) + 5 · (–3) – 12 : (–4) a) 5 · (–4) + 2 · (–3) = –26 b) 20 : (–5) – 8 : (+2) = –8 c) 2 · (–8) – 3 · (–7) – 4 · (+3) = –7 d) 6 : (+2) + 5 · (–3) – 12 : (–4) = –9 11 Opera. a) (–8) · (+2) + (–5) · (–3) b) (+40) : (–8) – (–30) : (+6) c) (–2) · (–9) + (–24) : (–3) – (–6) · (–4) d) (+27) : (–3) – (+3) · (–5) – (–6) · (–2) a) (–8) · (+2) + (–5) · (–3) = –1 b) (+40) : (–8) – (–30) : (+6) = 0 c) (–2) · (–9) + (–24) : (–3) – (–6) · (–4) = 2 d) (+27) : (–3) – (+3) · (–5) – (–6) · (–2) = –6 13 Calcula como en el ejercicio resuelto anterior. a) (–3) · [(–2) + (–4)] b) (+4) · [(–5) + (+2)] c) (+6) : [(+5) – (+7)] d) (–20) : [(–6) – (–2)] e) [(–8) + (+7)] · (–3) f) [(–9) + (–3)] : (+6) a) (–3) · [(–2) + (–4)] = (–3) · [–2 – 4] = (–3) · [–6] = +18 b) (+4) · [(–5) + (+2)] = (+4) · [–5 + 2] = (+4) · [–3] = –12 c) (+6) : [(+5) – (+7)] = (+6) : [+5 – 7] = (+6) : [–2] = –3 d) (–20) : [(–6) – (–2)] = (–20) : [–6 + 2] = (–20) : [–4] = +5 e) [(–8) + (+7)] · (–3) = [–8 + 7] · (–3) = [–1] · (–3) = +3 f) [(–9) + (–3)] : (+6) = [–9 – 3] : (+6) = [–12] : (+6) = –2 15 Opera como en el ejercicio resuelto anterior. a) 19 – (–3) · [5 – (+8)] b) 12 + (–5) · [8 + (–9)] c) 12 – [13 – (–7)] : (–5) d) 10 – (+20) : [7 + (–3)] e) (–2) · (5 – 7) – (–3) · (8 – 6) f) (9 – 6) · (–2) + (13 + 3) : (–4) Unidad 4. Los números enteros Pág. 14

4Soluciones a las actividades de cada epígrafe a) 19 – (–3) · [5 – (+8)] = 19 – (–3) · [–3] = 19 – (+9) = 19 – 9 = 10 b) 12 + (–5) · [8 + (–9)] = 12 + (–5) · [–1] = 12 + (+5) = 12 + 5 = 17 c) 12 – [13 – (–7)] : (–5) = 12 – [+20] : (–5) = 12 – (–4) = 12 + 4 = 16 d) 10 – (+20) : [7 + (–3)] = 10 – (+20) : [+4] = 10 – (+5) = 10 – 5 = 5 e) (–2) · (5 – 7) – (–3) · (8 – 6) = (–2) · (–2) – (–3) · (+2) = = (+4) – (–6) = 4 + 6 = 10 f) (9 – 6) · (–2) + (13 + 3) : (–4) = (+3) · (–2) + (+16) : (–4) = = (–6) + (–4) = –6 – 4 = –10 PÁGINA 89 1 Calcula. a) (+2) 5 b) (–2) 6 c) (–5) 3 d) (+3) 4 e) (–3) 4 f) (+6) 2 g) (+10) 5 h) (–10) 5 i) (–4) 3 a) +32 b) +64 c) –125 d) +81 e) +81 f) +36 g) +100 000 h) –100 000 i) –64 2 Calcula mentalmente. a) (–1) 28 b) (–1) 29 c) (–1) 30 d) (–1) 31 a) 1 b) –1 c) 1 d) –1 3 Calcula. a) (–10) 3 b) (+10) 0 c) (–10) 2 d) (–10) 4 e) (+10) 6 f) (–10) 6 a) –1 000 b) 1 c) 100 d) 10 000 e) 1 000 000 f) 1 000 000 4 Calcula como en los ejemplos y observa las diferencias. • (–3) 2 = (–3) · (–3) = +9 • –32 = –3 · 3 = –9 a) (–2) 4 b) –24 c) (+2) 4 d) (–2) 3 e) –23 f) (+2) 3 g) (–5) 2 h) –52 i) (+5) 2 j) (–3) 3 k) –3 3 l) (+3) 3 a) 16 b) –16 c) 16 d) –8 e) –8 f) 8 g) 25 h) –25 i) 25 j) –27 k) –27 l) 27 Unidad 4. Los números enteros Pág. 15

4Soluciones a las actividades de cada epígrafe<br />

9 Opera como en el ejercicio resuelto anterior.<br />

a) [(+6) · (–4)] : (–3) b) [(–15) · (–2)] : (+6)<br />

c) (–5) · [(+12) : (–3)] d) [(–5) · (+12)] : (–3)<br />

a) [(+6) · (–4)] : (–3) = [–24] : (–3) = +8<br />

b) [(–15) · (–2)] : (+6) = [+30] : (+6) = +5<br />

c) (–5) · [(+12) : (–3)] = (–5) · [–4] = +20<br />

d) [(–5) · (+12)] : (–3) = [–60] : (–3) = +20<br />

10 Calcula.<br />

a) 5 · (–4) + 2 · (–3) b) 20 : (–5) – 8 : (+2)<br />

c) 2 · (–8) – 3 · (–7) – 4 · (+3) d) 6 : (+2) + 5 · (–3) – 12 : (–4)<br />

a) 5 · (–4) + 2 · (–3) = –26 b) 20 : (–5) – 8 : (+2) = –8<br />

c) 2 · (–8) – 3 · (–7) – 4 · (+3) = –7 d) 6 : (+2) + 5 · (–3) – 12 : (–4) = –9<br />

11 Opera.<br />

a) (–8) · (+2) + (–5) · (–3)<br />

b) (+40) : (–8) – (–30) : (+6)<br />

c) (–2) · (–9) + (–24) : (–3) – (–6) · (–4)<br />

d) (+27) : (–3) – (+3) · (–5) – (–6) · (–2)<br />

a) (–8) · (+2) + (–5) · (–3) = –1<br />

b) (+40) : (–8) – (–30) : (+6) = 0<br />

c) (–2) · (–9) + (–24) : (–3) – (–6) · (–4) = 2<br />

d) (+27) : (–3) – (+3) · (–5) – (–6) · (–2) = –6<br />

13 Calcula como en el ejercicio resuelto anterior.<br />

a) (–3) · [(–2) + (–4)] b) (+4) · [(–5) + (+2)]<br />

c) (+6) : [(+5) – (+7)] d) (–20) : [(–6) – (–2)]<br />

e) [(–8) + (+7)] · (–3) f) [(–9) + (–3)] : (+6)<br />

a) (–3) · [(–2) + (–4)] = (–3) · [–2 – 4] = (–3) · [–6] = +18<br />

b) (+4) · [(–5) + (+2)] = (+4) · [–5 + 2] = (+4) · [–3] = –12<br />

c) (+6) : [(+5) – (+7)] = (+6) : [+5 – 7] = (+6) : [–2] = –3<br />

d) (–20) : [(–6) – (–2)] = (–20) : [–6 + 2] = (–20) : [–4] = +5<br />

e) [(–8) + (+7)] · (–3) = [–8 + 7] · (–3) = [–1] · (–3) = +3<br />

f) [(–9) + (–3)] : (+6) = [–9 – 3] : (+6) = [–12] : (+6) = –2<br />

15 Opera como en el ejercicio resuelto anterior.<br />

a) 19 – (–3) · [5 – (+8)] b) 12 + (–5) · [8 + (–9)]<br />

c) 12 – [13 – (–7)] : (–5) d) 10 – (+20) : [7 + (–3)]<br />

e) (–2) · (5 – 7) – (–3) · (8 – 6) f) (9 – 6) · (–2) + (13 + 3) : (–4)<br />

Unidad 4. Los números enteros<br />

Pág. 14

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