diff --git a/Checkpoints/Checkpoint2.ipynb b/Checkpoints/Checkpoint2.ipynb
index 26cba1f35a34641fa47caa4c16f50e946f569a73..da535436adfea730b56751ebd47fafe51a4952ae 100644
--- a/Checkpoints/Checkpoint2.ipynb
+++ b/Checkpoints/Checkpoint2.ipynb
@@ -20,7 +20,7 @@
     "\n",
     "$$ a x^2 + b x + c = 0$$ \n",
     "\n",
-    "then calculate and display the roots using the standard formula for roots of quadratic being,\n",
+    "then calculate and display the roots using the standard formula for roots of a quadratic equation, being :\n",
     "\n",
     "$$ r_i = \\frac{ −b± \\sqrt{b^2−4ac}}{2a} $$\n",
     "\n",
diff --git a/Checkpoints/Checkpoint6.ipynb b/Checkpoints/Checkpoint6.ipynb
index 0c9e2d82fd64d27538dd7d18e5d7418bb080dd4d..fbf5204fb23b789d57ed0170579475c4abbe6385 100644
--- a/Checkpoints/Checkpoint6.ipynb
+++ b/Checkpoints/Checkpoint6.ipynb
@@ -14,7 +14,7 @@
     "\n",
     "## Monte Carlo estimate of π\n",
     "\n",
-    "Consider a circle of radius r within a square of side 2r$\\times$2r as shown in the figure below.\n",
+    "Consider a circle of radius r within a square of side $2r \\times 2r$ as shown in the figure below.\n",
     "\n",
     "![dynamicpng-width_300.png](dynamicpng-width_300.png)\n",
     "\n",