select all the squares in order of least to greatest\n∞\n$e^{3}$\n$\\int_{1}^{4} x d x$\n$3!$\n$\\frac{6…

select all the squares in order of least to greatest\n∞\n$e^{3}$\n$\\int_{1}^{4} x d x$\n$3!$\n$\\frac{6 \\pi}{2}$\n$\\sqrt{10}$\n$\\sum_{i = 1}^{3} i$\n$\\frac{2}{8}$\n$\\log_{3}(12)$

select all the squares in order of least to greatest\n∞\n$e^{3}$\n$\\int_{1}^{4} x d x$\n$3!$\n$\\frac{6 \\pi}{2}$\n$\\sqrt{10}$\n$\\sum_{i = 1}^{3} i$\n$\\frac{2}{8}$\n$\\log_{3}(12)$

Answer

Explanation:

Step1: Calculate each value

  • $\frac{2}{8}=\frac{1}{4} = 0.25$
  • $\log_{3}(12)=\frac{\ln(12)}{\ln(3)}\approx2.26$
  • $\sqrt{10}\approx3.16$
  • $\sum_{i = 1}^{3}i=1 + 2+3 = 6$
  • $3!=3\times2\times1 = 6$
  • $\int_{1}^{4}xdx=\frac{1}{2}x^{2}\big|_{1}^{4}=\frac{1}{2}(4^{2}-1^{2})=\frac{1}{2}(16 - 1)=\frac{15}{2}=7.5$
  • $\frac{6\pi}{2}=3\pi\approx9.42$
  • $e^{3}\approx20.09$
  • $\infty$ is the largest.

Step2: Order the values

Ordering from least to greatest: $\frac{2}{8},\log_{3}(12),\sqrt{10},\sum_{i = 1}^{3}i,3!,\int_{1}^{4}xdx,\frac{6\pi}{2},e^{3},\infty$

Answer:

  1. $\frac{2}{8}$
  2. $\log_{3}(12)$
  3. $\sqrt{10}$
  4. $\sum_{i = 1}^{3}i$
  5. $3!$
  6. $\int_{1}^{4}xdx$
  7. $\frac{6\pi}{2}$
  8. $e^{3}$
  9. $\infty$