Insight
- Components
- Operation: 2 + 3
- Operator: + (plus)
- Operands: 2 and 3
- Properties
- Commutative: a $ b = b $ a
- Associative: (a $ b) $ c = a $ (b $ c)
Summary: Understanding the basic arithmetic operations namely Addition, Subtraction, Multiplication and Division.
Properties
Why is a X b always equal to b X a?
Visualization: Draw a grid with a rows and b columns and rotate the page 90 degress so that the rows appear as columns and columns appear as rows. Now we have b rows and a columns.
a X b = a times b's = b times a's = b X a.
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.
Visualization: Draw a grid with a rows and b columns, or; b rows and a columns.
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.
Properties
If t chocolates are distributed among n students, how many choclates each student will get?
Visualization: Distributing equally.
Visualization: Repeatedly subtracting n chocolates from t chocolates so that each student gets one.
t ÷ n.
If each student should get n chocolates. How many students will get chocolates if there are t chocolates?
Visualization: Repeatedly subtracting n chocolates from t chocolates because each student should get n chocolates.
t ÷ n.