Question

Folosind asociativitatea și comutativitatea adunării, calculați sumele:
a) S=3+12+45+97+17+83+55+88+100;
b)S=200+175+113+37+25+87+163;
c)S=19+32+58+91+42+81+55+9+100.​

Answer 1

Răspuns:

a)

s=3+12+45+97+17+83+55+88+100

s=(3+97)+(12+88)+(45+55)+(17+83)+100

s=100+100+100+100+100

s=500

b)

s=200+175+113+37+25+87+163

s=200+(175+25)+(113+87)+(163+37)

s=200+200+200+200

s=800

c)

s=19+32+58+91+42+81+55+9+100

s=(19+81)+(58+42)+(91+9)+(32+55)+100

s=100+100+100+87+100

s=487