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Answer :
Sure! Let's solve the problem step-by-step.
2. Ordering the numbers [tex]\(1.16, 1 \frac{1}{4}, 1.37, 1 \frac{1}{10}\)[/tex] from greatest to least:
Firstly, we'll convert any fractions or mixed numbers to decimals for easier comparison:
- [tex]\(1.16\)[/tex] is already in decimal form.
- [tex]\(1 \frac{1}{4}\)[/tex] as a decimal is [tex]\(1 + \frac{1}{4} = 1 + 0.25 = 1.25\)[/tex].
- [tex]\(1.37\)[/tex] is already in decimal form.
- [tex]\(1 \frac{1}{10}\)[/tex] as a decimal is [tex]\(1 + \frac{1}{10} = 1 + 0.1 = 1.1\)[/tex].
Now we have the numbers: [tex]\(1.16, 1.25, 1.37, 1.1\)[/tex].
To write them in order from greatest to least:
1. [tex]\(1.37\)[/tex] (the largest)
2. [tex]\(1.25\)[/tex]
3. [tex]\(1.16\)[/tex]
4. [tex]\(1.1\)[/tex] (the smallest)
So, the order from greatest to least is: [tex]\(1.37, 1 \frac{1}{4}, 1.16, 1 \frac{1}{10}\)[/tex].
3. Ordering the numbers [tex]\(\frac{5}{8}, 0.5, \frac{2}{5}, 0.78\)[/tex] from greatest to least:
Let's convert the fractions to decimals:
- [tex]\(\frac{5}{8} = 0.625\)[/tex].
- [tex]\(0.5\)[/tex] is already in decimal form.
- [tex]\(\frac{2}{5} = 0.4\)[/tex].
- [tex]\(0.78\)[/tex] is already in decimal form.
Now we have the numbers: [tex]\(0.625, 0.5, 0.4, 0.78\)[/tex].
To write them in order from greatest to least:
1. [tex]\(0.78\)[/tex] (the largest)
2. [tex]\(0.625\)[/tex]
3. [tex]\(0.5\)[/tex]
4. [tex]\(0.4\)[/tex] (the smallest)
Thus, the order from greatest to least is: [tex]\(0.78, \frac{5}{8}, 0.5, \frac{2}{5}\)[/tex].
I hope that helps! Let me know if you have any questions.
2. Ordering the numbers [tex]\(1.16, 1 \frac{1}{4}, 1.37, 1 \frac{1}{10}\)[/tex] from greatest to least:
Firstly, we'll convert any fractions or mixed numbers to decimals for easier comparison:
- [tex]\(1.16\)[/tex] is already in decimal form.
- [tex]\(1 \frac{1}{4}\)[/tex] as a decimal is [tex]\(1 + \frac{1}{4} = 1 + 0.25 = 1.25\)[/tex].
- [tex]\(1.37\)[/tex] is already in decimal form.
- [tex]\(1 \frac{1}{10}\)[/tex] as a decimal is [tex]\(1 + \frac{1}{10} = 1 + 0.1 = 1.1\)[/tex].
Now we have the numbers: [tex]\(1.16, 1.25, 1.37, 1.1\)[/tex].
To write them in order from greatest to least:
1. [tex]\(1.37\)[/tex] (the largest)
2. [tex]\(1.25\)[/tex]
3. [tex]\(1.16\)[/tex]
4. [tex]\(1.1\)[/tex] (the smallest)
So, the order from greatest to least is: [tex]\(1.37, 1 \frac{1}{4}, 1.16, 1 \frac{1}{10}\)[/tex].
3. Ordering the numbers [tex]\(\frac{5}{8}, 0.5, \frac{2}{5}, 0.78\)[/tex] from greatest to least:
Let's convert the fractions to decimals:
- [tex]\(\frac{5}{8} = 0.625\)[/tex].
- [tex]\(0.5\)[/tex] is already in decimal form.
- [tex]\(\frac{2}{5} = 0.4\)[/tex].
- [tex]\(0.78\)[/tex] is already in decimal form.
Now we have the numbers: [tex]\(0.625, 0.5, 0.4, 0.78\)[/tex].
To write them in order from greatest to least:
1. [tex]\(0.78\)[/tex] (the largest)
2. [tex]\(0.625\)[/tex]
3. [tex]\(0.5\)[/tex]
4. [tex]\(0.4\)[/tex] (the smallest)
Thus, the order from greatest to least is: [tex]\(0.78, \frac{5}{8}, 0.5, \frac{2}{5}\)[/tex].
I hope that helps! Let me know if you have any questions.
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