Question

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Answer 1

Răspuns:

Explicație pas cu pas:

Teorema impartirii cu rest

deimpartit(d) : impartitor ( i ) = cat ( c ) rest r

d : i = c rest r ⇒   d = c × i + r;  unde restul < impartitorul

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a)  

a : 17 = 9 rest 15

a = 9 × 17 + 15

a = 153 + 15

a = 168 → deimpartitul ( numar natural )

Verific:  

168 : 17 = 9 rest 15

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b)

b : 25 = 11 rest 13

b = 11 × 25 + 13 → aplic teorema impartirii cu rest

b = 275 + 13

b = 288 → deimpartitul

Verific:      288 : 25 = 11 rest 13

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c)

c : 18 = 12 rest 5

c = 12 × 18 + 5

c = 216 + 5

c = 221 → deimpartitul

Verific:

221 : 18 = 12 rest 5

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d)

d : 13 = 12 rest 4

d = 13 × 12 + 4

d = 156 + 4

d = 160 → deimpartitul

Verific:

160 : 13 = 12 rest 4

Answer 2

a)

a : 17 = 9 rest 15

a = 9 × 17 + 15

a = 153 + 15

a = 168

b)

b : 25 = 11 rest 13

b = 11 × 25 + 13

b = 275 + 13

b = 288

c)

c : 18 = 12 rest 5

c = 12 × 18 + 5

c = 216 + 5

c = 221

d)

d : 13 = 12 rest 4

d = 12 × 13 + 4

d = 156 + 4

d = 160