Respostas
respondido por:
10
a) iguala a X
x=3,777... ×10
10x=37,777... subtrai o de baixo pelo de cima fica
9x=34
x=34/9
b)x=7,3444... ×10
10x=73,444... ×10
100x=734,444...
90x=661
x=661/90
c)x=5,12666...×100
100x=512,666...×10
1000x=5126,666...
900x=4614
x=4614/900 simplifica por 6
x=769/150
x=3,777... ×10
10x=37,777... subtrai o de baixo pelo de cima fica
9x=34
x=34/9
b)x=7,3444... ×10
10x=73,444... ×10
100x=734,444...
90x=661
x=661/90
c)x=5,12666...×100
100x=512,666...×10
1000x=5126,666...
900x=4614
x=4614/900 simplifica por 6
x=769/150
respondido por:
5
Boa tarde
a)
3.777... = 3 + 0.777...
x = 0.777
10x = 7.777
9x = 7
x = 7/9
3 + 0,777 = 3 + 7/9 = 34/9
b)
7.3444... = 73/10 + 0.0444..
x = 0.0444...
10x = 0,444...
100x = 4.444...
90x = 4
x = 4/90 = 2/45
7,3444... = 73/10 + 2/45
= (73*45 + 2*10)/450
= 3305/450 = 661/90
c)
5.12666... = 512/100 + 0.00666...
x = 0.00666...
1000x = 6,666...
100x = 0.666...
900x = 6
x = 6/900 = 1/150
5.12666... = 512/100 + 1/150
= 256/50 + 1/150
= (768 + 1)/150 = 769/150
a)
3.777... = 3 + 0.777...
x = 0.777
10x = 7.777
9x = 7
x = 7/9
3 + 0,777 = 3 + 7/9 = 34/9
b)
7.3444... = 73/10 + 0.0444..
x = 0.0444...
10x = 0,444...
100x = 4.444...
90x = 4
x = 4/90 = 2/45
7,3444... = 73/10 + 2/45
= (73*45 + 2*10)/450
= 3305/450 = 661/90
c)
5.12666... = 512/100 + 0.00666...
x = 0.00666...
1000x = 6,666...
100x = 0.666...
900x = 6
x = 6/900 = 1/150
5.12666... = 512/100 + 1/150
= 256/50 + 1/150
= (768 + 1)/150 = 769/150
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