Answer :
Certainly! To determine the order of the given numbers from smallest to largest, we first need to convert all of these numbers into a comparable format.
1. 71.8%: Convert the percentage to a decimal by dividing by 100.
[tex]\[ 71.8\% = \frac{71.8}{100} = 0.718 \][/tex]
2. \(\frac{11}{16}\): Keep this in its fractional form but convert it to a decimal for easy comparison.
[tex]\[ \frac{11}{16} \approx 0.6875 \][/tex]
3. \(\frac{5}{7}\): Again, this fraction needs to be converted to a decimal.
[tex]\[ \frac{5}{7} \approx 0.7143 \][/tex]
4. 0.71: This number is already given in decimal form.
Now we have the following numbers in decimal form:
[tex]\[ 0.718, \quad 0.6875, \quad 0.7143, \quad 0.71 \][/tex]
Next, we will arrange these decimals from smallest to largest:
\begin{itemize}
\item 0.6875 (which is \(\frac{11}{16}\))
\item 0.71
\item 0.7143 (which is \(\frac{5}{7}\))
\item 0.718 (which is 71.8%)
\end{itemize}
So, in order of size, starting with the smallest number:
[tex]\[ \frac{11}{16}, \quad 0.71, \quad \frac{5}{7}, \quad 71.8\% \][/tex]
1. 71.8%: Convert the percentage to a decimal by dividing by 100.
[tex]\[ 71.8\% = \frac{71.8}{100} = 0.718 \][/tex]
2. \(\frac{11}{16}\): Keep this in its fractional form but convert it to a decimal for easy comparison.
[tex]\[ \frac{11}{16} \approx 0.6875 \][/tex]
3. \(\frac{5}{7}\): Again, this fraction needs to be converted to a decimal.
[tex]\[ \frac{5}{7} \approx 0.7143 \][/tex]
4. 0.71: This number is already given in decimal form.
Now we have the following numbers in decimal form:
[tex]\[ 0.718, \quad 0.6875, \quad 0.7143, \quad 0.71 \][/tex]
Next, we will arrange these decimals from smallest to largest:
\begin{itemize}
\item 0.6875 (which is \(\frac{11}{16}\))
\item 0.71
\item 0.7143 (which is \(\frac{5}{7}\))
\item 0.718 (which is 71.8%)
\end{itemize}
So, in order of size, starting with the smallest number:
[tex]\[ \frac{11}{16}, \quad 0.71, \quad \frac{5}{7}, \quad 71.8\% \][/tex]
Step-by-step explanation:
Certainly! To determine the order of the given numbers from smallest to largest, we first need to convert all of these numbers into a comparable format.
1. 71.8%: Convert the percentage to a decimal by dividing by 100.
71.8
%
=
71.8
100
=
0.718
71.8%=
100
71.8
=0.718
2. \(\frac{11}{16}\): Keep this in its fractional form but convert it to a decimal for easy comparison.
11
16
≈
0.6875
16
11
≈0.6875
3. \(\frac{5}{7}\): Again, this fraction needs to be converted to a decimal.
5
7
≈
0.7143
7
5
≈0.7143
4. 0.71: This number is already given in decimal form.
Now we have the following numbers in decimal form:
0.718
,
0.6875
,
0.7143
,
0.71
0.718,0.6875,0.7143,0.71
Next, we will arrange these decimals from smallest to largest:
\begin{itemize}
\item 0.6875 (which is \(\frac{11}{16}\))
\item 0.71
\item 0.7143 (which is \(\frac{5}{7}\))
\item 0.718 (which is 71.8%)
\end{itemize}
So, in order of size, starting with the smallest number:
11
16
,
0.71
,
5
7
,
71.8
%
16
11
,0.71,
7
5
,71.8%
