Insight

Components
 Digit
 Placevalue
 Sequence of digits.
 Quantity or Count of something.
 How much? How many?
Summary: Understanding the Basics of Arithmetic.
Why is a X b always equal to b X a?
a X b = a times b's = b times a's = b X a.
(Visualization: Check it using a grid with a rows and b columns.)
If a X b = c then why is c ÷ a = b and c ÷ b = a?
Note: a times b's = b times a's = c.
If we repeatedly take away b's then that can be done a times. Therefore c ÷ b = a.
If we repeatedly take away a's then that can be done b times. Therefore c ÷ a = b.
(Visualization: Draw a grid with a rows and b columns, or; b rows and a columns.)
If t chocolates are distributed among n students, how many choclates each student will get?
t ÷ n.
(Visualization: n choclates are subtracted each time so that everyone gets one chocolate each time.)
If each student should get n chocolates. How many students will get chocolates if there are t chocolates?
t ÷ n.
(Visualization: n chocolates are subtracted repeatedly from t chocolates because each student has to get n chocolates.)