Question

Order the numbers from least to greatest 4/3, 1.333, 133.33%, 1.334

Answer 1

`1.333,\text{ 133.33 \%, 4/3, 1.334}`

Step-by-step explanation

get the decimal form in each option to compare

Step 1

`\begin{gathered} (4)/(3) \\ 4\text{ divide by 3} \\ (4)/(3)=1.33333333 \end{gathered}`

Step 2

`1.333\Rightarrow1.333`

Step 3

`\begin{gathered} 133.33\text{ \%} \\ \text{remember percentage } \\ \text{percentage}=\text{ decimal }\cdot100 \\ \text{then} \\ 133.33=\text{ decimal}\cdot100 \\ divide\text{ both sides by 100} \\ (133.33)/(100)=\text{decimal} \\ \text{decimal}=1.3333 \end{gathered}`

Step 4

`1.334\rightarrow1.334`

Step 5

compare

`\begin{gathered} (4)/(3)\rightarrow1.33333333 \\ 1.333\rightarrow1.333 \\ 133.33\text{ \%}\rightarrow1.3333 \\ 1.334\rightarrow1.334 \end{gathered}`

now, order

`1.333,\text{ 1.3333 , 1.33333333, 1.334}`

so, the order is

`1.333,\text{ 133.33 \%, 4/3, 1.334}`

I hope this helps you