Question

Order the numbers from least to greatest.

$\frac{7}{10},0.69,71\%,\frac{9}{10},0.84$

Answer 1

Step 1: Convert all the expressions in decimal expansion.

Converting the first option into decimal expansion form.

$\frac{7}{10}=0.70$

Step 2: Second option is already in decimal expansion form.

$0.69$

Step 3: Converting the third option into decimal expansion form.

$71\%=\frac{71}{100}=0.71$

Step 4: Converting the fourth option into decimal expansion form.

$\frac{9}{10}=0.90$

Step 5: Last option is already in decimal expansion form.

$0.84$

Step 6: Arranging them from least to greatest order

$$\begin{gathered} 0.69>0.70>0.71>0.84>0.90 \\ 0.69>\frac{7}{10}>71\%>0.84>\frac{9}{10} \end{gathered}$$

Final Answer: Arranging them from least to greatest order

$0.69>\frac{7}{10}>71\%>0.84>\frac{9}{10}$