High School

(ii) Write the following quantities in ascending order:

[tex]\frac{12}{25}, \quad 0.46, \quad 47\%[/tex]

Answer :

To write the given quantities in ascending order, we will first convert all of them into the same format for easy comparison. We can use decimals for this purpose. Here's the step-by-step process:

1. Convert each quantity to decimal form:

- The fraction [tex]\(\frac{12}{25}\)[/tex]:
- Divide the numerator by the denominator:
[tex]\[
\frac{12}{25} = 0.48
\][/tex]

- The decimal [tex]\(0.46\)[/tex] is already in decimal form.

- The percentage [tex]\(47\%\)[/tex]:
- Convert the percentage to a decimal by dividing by 100:
[tex]\[
47\% = \frac{47}{100} = 0.47
\][/tex]

2. List the decimal equivalents for easy comparison:

- [tex]\(\frac{12}{25}\)[/tex] becomes [tex]\(0.48\)[/tex]
- [tex]\(0.46\)[/tex] stays [tex]\(0.46\)[/tex]
- [tex]\(47\%\)[/tex] becomes [tex]\(0.47\)[/tex]

3. Arrange the decimals in ascending order:

- Start with the smallest number and move to the largest:
- [tex]\(0.46\)[/tex]
- [tex]\(0.47\)[/tex]
- [tex]\(0.48\)[/tex]

4. Present the ordered original quantities based on their decimal forms:

- [tex]\(0.46\)[/tex] (originally [tex]\(0.46\)[/tex])
- [tex]\(0.47\)[/tex] (originally [tex]\(47\%\)[/tex])
- [tex]\(0.48\)[/tex] (originally [tex]\(\frac{12}{25}\)[/tex])

So, the quantities in ascending order are: [tex]\(0.46\)[/tex], [tex]\(47\%\)[/tex], [tex]\(\frac{12}{25}\)[/tex].

Other Questions