Question

escreva na forma decimal: a) 10-²
b)10-⁵
c)10-⁶
d)10-¹
e)10-⁸
f)10-¹¹​

Answer 1

Resposta:

a)0,01

b) 0,00001

c) 0,000001

d) 0,1

e) 0,00000001

f) 0,00000000001

Explicação passo-a-passo:

a) 10-² > $\frac{1}{10}^{2}$

$\frac{1}{10}$ x $\frac{1}{10}$ = $\frac{1}{100}$ = 0,01

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b) 10-⁵ > $\frac{1}{10} ^{5}$

$\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ = $\frac{1}{100.000}$ = 0,00001

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c) 10-⁶ > $\frac{1}{10} ^{6}$

$\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ = $\frac{1}{1.000.000}$ = 0,000001

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d) 10-¹ > $\frac{1}{10} ^{1}$

$\frac{1}{10}$ = 0,1

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e) 10-⁸ > $\frac{1}{10} ^{8}$

$\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ = $\frac{1}{100.000.000}$ = 0,00000001

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f) 10-¹¹​ > $\frac{1}{10} ^{11}$

$\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$  x $\frac{1}{10}$ x $\frac{1}{10}$ = $\frac{1}{100.000.000.000}$ = 0,00000000001

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> O valor do expoente é igual a quantidade de zeros no resultado final<