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Divisibilidad - Cepasanfrancisco.edurioja.org

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1Soluciones a las actividades de cada epígrafe<br />

e) (8 – 6) – (3 – 7 – 2) + (1 – 8 + 2) = (+2) – (3 – 9) + (3 – 8) =<br />

= (+2) – (–6) + (–5) = +2 + 6 – 5 = 8 – 5 = 3<br />

(8 – 6) – (3 – 7 – 2) + (1 – 8 + 2) = 8 – 6 – 3 + 7 + 2 + 1 – 8 + 2 = 20 – 17 = 3<br />

f) (5 – 16) – (7 – 3 – 6) – (9 – 13 – 5) = (–11) – (7 – 9) – (9 – 18) =<br />

= (–11) – (–2) – (–9) = –11 + 2 + 9 = 11 – 11 = 0<br />

(5 – 16) – (7 – 3 – 6) – (9 – 13 – 5) = 5 – 16 – 7 + 3 + 6 – 9 + 13 + 5 =<br />

= 32 – 32 = 0<br />

10 Calcula.<br />

a) 7 – [1 + (9 – 13)] b)–9 + [8 – (13 – 4)]<br />

c) 12 – [6 – (15 – 8)] d)–17 + [9 – (3 – 10)]<br />

e) 2 + [6 – (4 – 2 + 9)] f) 15 – [9 – (5 – 11 + 7)]<br />

a) 7 – [1 + (9 – 13)] = 7 – [1 + 9 – 13] = 7 – 1 – 9 + 13 = 20 – 10 = 10<br />

b) –9 + [8 – (13 – 4)] = –9 + [8 – (9)] = –9 + [8 – 9] = –9 + [–1] = –9 – 1 = –10<br />

c) 12 – [6 – (15 – 8)] = 12 – [6 – 15 + 8] = 12 – 6 + 15 – 8 = 27 – 14 = 13<br />

d) –17 + [9 – (3 – 10)] = –17 + [9 – (–7)] = –17 + [9 + 7] = –17 + 16 = –1<br />

e) 2 + [6 – (4 – 2 + 9)] = 2 + [6 – 4 + 2 – 9] = 2 + 6 – 4 + 2 – 9 = 10 – 13 = –3<br />

f) 15 – [9 – (5 – 11 + 7)] = 15 – [9 – (12 – 11)] = 15 – [9 – (+1)] = 15 – [9 – 1] =<br />

= 15 – [+8] = 15 – 8 = 7<br />

11 Resuelve.<br />

a) (2 – 9) – [5 + (8 – 12) – 7]<br />

b)13 – [15 – (6 – 8) + (5 – 9)]<br />

c) 8 – [(6 – 11) + (2 – 5) – (7 – 10)]<br />

d)(13 – 21) – [12 + (6 – 9 + 2) – 15]<br />

e) [4 + (6 – 9 – 13)] – [5 – (8 + 2 – 18)]<br />

f) [10 – (21 – 14)] – [5 + (17 – 11 + 6)]<br />

a) (2 – 9) – [5 + (8 – 12) – 7] = (2 – 9) – [5 + (–4) – 7] = (2 – 9) – [5 – 4 – 7] =<br />

= (–7) – [5 – 11] = –7 – [–6] = –7 + 6 = –1<br />

b) 13 – [15 – (6 – 8) + (5 – 9)] = 13 – [15 – 6 + 8 + 5 – 9] =<br />

= 13 – 15 + 6 – 8 – 5 + 9 = 28 – 28 = 0<br />

c) 8 – [(6 – 11) + (2 – 5) – (7 – 10)] = 8 – [(–5) + (–3) – (–3)] = 8 – [–5 – 3 + 3] =<br />

= 8 – [–8 + 3] = 8 – [–5] = 8 + 5 = 13<br />

d) (13 – 21) – [12 + (6 – 9 + 2) – 15] = (13 – 21) – [12 + 6 – 9 + 2 – 15] =<br />

= 13 – 21 – 12 – 6 + 9 – 2 + 15 = 37 – 41 = –4<br />

e) [4 + (6 – 9 – 13)] – [5 – (8 + 2 – 18)] = [4 + (6 – 22)] – [5 – (10 – 18)] =<br />

= [4 – 16] – [5 + 8] = –12 – 13 = –25<br />

f) [10 – (21 – 14)] – [5 + (17 – 11 + 6)] = [10 – 21 + 14] – [5 + 17 – 11 + 6] =<br />

= 10 – 21 + 14 – 5 – 17 + 11 – 6 = 35 – 49 = –14<br />

Unidad 1. <strong>Divisibilidad</strong> y números enteros<br />

Pág. 12

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