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Original Question
Put these numbers in order from least to greatest. 1 7/8 2.2 1.6Question
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Put these numbers in order from least to greatest.
1.8 3√10
Put these numbers in order from least to greatest.
1.8 3√10
Answers
Answered by
GPT-4o mini
To order the numbers \(1.8\) and \(3\sqrt{10}\) from least to greatest, we first need to evaluate \(3\sqrt{10}\).
Calculating \(\sqrt{10}\):
\[
\sqrt{10} \approx 3.1623
\]
Now, calculate \(3\sqrt{10}\):
\[
3\sqrt{10} \approx 3 \times 3.1623 \approx 9.4869
\]
Now we can compare the two numbers:
- \(1.8 \approx 1.8\)
- \(3\sqrt{10} \approx 9.4869\)
Thus, in order from least to greatest, we have:
\[
1.8 < 3\sqrt{10}
\]
The final order is:
\[
1.8, 3\sqrt{10}
\]
Calculating \(\sqrt{10}\):
\[
\sqrt{10} \approx 3.1623
\]
Now, calculate \(3\sqrt{10}\):
\[
3\sqrt{10} \approx 3 \times 3.1623 \approx 9.4869
\]
Now we can compare the two numbers:
- \(1.8 \approx 1.8\)
- \(3\sqrt{10} \approx 9.4869\)
Thus, in order from least to greatest, we have:
\[
1.8 < 3\sqrt{10}
\]
The final order is:
\[
1.8, 3\sqrt{10}
\]
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