Question

So sánh a/ 0,3(2) và 0,32

b/ 0,834 và 5/6

Answer 1

a) Ta có: 

\(0,3\left(2\right)=0,3222...=0,32+0,00222...\)

Mà: \(0,32+0,00222...>0,32\)

\(\Rightarrow0,3\left(2\right)>0,32\)

b) Ta có:

\(\dfrac{5}{6}=0,8\left(3\right)=0,8333...=0,8+0,0333...\)

\(0,834=0,8+0,034\)

Mà: \(0,0333...< 0,34\)

Nên: \(\dfrac{5}{6}< 0,834\)

Answer 2

a: 0,3(2)=0,3222...>0,32

b: 5/6=0,8(3)=0,83333...<0,834

Answer 3

a) \(0,3\left(2\right)=0,3+\dfrac{2}{90}=\dfrac{29}{90}=\dfrac{145}{450}\)

\(0,32=\dfrac{8}{25}=\dfrac{144}{450}\)

Do \(145>144\Rightarrow\dfrac{145}{450}>\dfrac{144}{450}\)

Vậy \(0,3\left(2\right)>0,32\)

b) \(0,834=\dfrac{417}{500}=\dfrac{1251}{1500}\)

\(\dfrac{5}{6}=\dfrac{1250}{1500}\)

Do \(1251>1250\Rightarrow\dfrac{1251}{1500}>\dfrac{1250}{1500}\)

\(\Rightarrow0,834>\dfrac{5}{6}\)