About LaTeX and MathML support in Pages, Numbers, and Keynote

0.15 \cdot \frac{1}{8}

-22 \div 11

2x + 3y \ge -21

3(b-5) < -6(b+5)

\left \{ 6 {\textstyle \frac{4}{5}}, \, \sqrt{49}, 
\, 6.\overline{3}, \, 7\sqrt{5} \right \}

\begin{aligned}
9 && < && 15 && < && 16 \\
\sqrt{9} && < && \sqrt{15} && < && \sqrt16 \\ 
3 && < && \sqrt{15} && < && 4
\end{aligned}

\begin{aligned}
\text{first number} & & \text{second number} \\ 
10 \mbox{\phantom{=digit}} & \cdot & 9 \mbox{\phantom{=digit}}
\end{aligned}

A nice trick for aligning equation elements is to use \mbox{\phantom{space}}. The contents inside the brackets (space) will account for the amount of white space created. In the example above, adding extra characters to =digit gives more white space in between the 10 • 9. 

\begin{aligned}
N &= 0.555\ldots \\ 
{\color{red}10}N &= {\color{red} 10}(0.555\ldots) \\
10N &= 5.555\ldots
\end{aligned}

\begin{aligned}
N &= 0.555\ldots \\ 
{\color{red}10}N &= {\color{red} 10}(0.555\ldots) \\
10N &= 5.555\ldots
\end{aligned}

\sum_{\color{0A7C10}n=0}^{\color{red}\infty}
a_n x^n

\textstyle \int_{-N}^{N} e^x\, dx

\int_{-N}^{N} e^x\, dx

\begin{matrix}
a & b \\
c & d \\
\end{matrix}

\begin{matrix}
c(1)^{n-1} & \dots & c(1)^2 & c(1) & 1 \\
c(2)^{n-1} & \dots & c(2)^2 & c(2) & 1 \\
\vdots & \ddots & \vdots & \vdots & \vdots \\
c(n)^{n-1} & \dots & 1 & 0 & 0
\end{matrix}

|x| = \begin{cases} \phantom{-} x& \text{if } x 
\geq 0 \\ -x & \text{if } x<0 \end{cases}

R_\theta = \begin{bmatrix} \cos \theta & -\sin 
\theta \\ \sin \theta & \phantom{-} \cos \theta 
\end{bmatrix}

\(\Delta S^\circ=\sum S^{\circ }\text{products} - \sum
S^{\circ }\text{reactants}\)

HF(aq) +H_{2}O(l) \rightleftharpoons
H_{3}O^{+} (aq) +F_{-}(aq)

\nabla \times \overrightarrow{\mathbf{B}} -
\frac{1}{C} \frac{\delta
\overrightarrow{\mathbf{E}}}{\delta t} = 4\pi
\rho

x = \frac{- b\pm\sqrt{b^2-4a c}}{2a}

<?xml version="1.0"?>
<math xmlns="http://www.w3.org/1998/Math/MathML">
     <mstack>
         <mscarries location='nw'>
             <none/>
             <mscarry crossout='updiagonalstrike' location='n'>
             <mn>2</mn>
         </mscarry>
             <mn>1</mn>
             <none/>
         </mscarries>
         <mn>2,327</mn>
         <msrow> <mo>-</mo> <mn> 1,156</mn> </msrow>
         <msline/>
         <mn>1,171</mn>
     </mstack>
</math> 

<math xmlns="http://www.w3.org/1998/Math/MathML">
<mlongdiv>
  <mn> 12 </mn>
  <mn> 16.5 </mn>
  <mn> 198 </mn>
  <msgroup position='1' shift='-1'>
    <msgroup>
      <mn> 12</mn>
      <msline length='2'/>
    </msgroup>
    <msgroup>
      <mn> 78</mn>
      <mn> 72</mn>
      <msline length='2'/>
      <mn> 6.0</mn>
      <mn> 6.0</mn>
    </msgroup>
    <msgroup position='-1'>
<!-- extra shift to move to the right of the "." -->
      <msline length='3'/>
      <mn> 0</mn>
    </msgroup>
  </msgroup>
</mlongdiv>
</math>            

<math xmlns="http://www.w3.org/1998/Math/MathML">
   <mstack charspacing="loose">
        <mscarries position="1">
             <mn>1</mn>
        </mscarries>
        <mscarries position="1">
             <mn>1</mn>
             <mn>2</mn>
      </mscarries>
       <mn>435</mn>
       <msrow>
             <mo>×</mo>
             <none/>
             <mn>25</mn>
             </msrow>
             <msline/>
       <mscarries position="2">
             <mn>1</mn>
       </mscarries>
             <mn>2175</mn>
       <msrow position="1">
             <mn>870</mn>
       </msrow>
       <msline/>
            <mn>10875</mn>
       </mstack>
</math>