Because of the commutative property of multiplication, it is true that 34×4=4×34
. However, these expressions can be calculated in different ways even though the solutions will be the same.
Below, show two different ways of solving this problem.
First, show how 34×4
can be solved using repeated additi
on:
34 × 4 = 34 + 34 + 34 + 34 = 136
This is done by adding 34 to itself 4 times.
Second, show how 4 × 34 can be solved using the traditional algorithm for multiplication:
4
× 3 4
_____
2 0
+ 1 2
+ 0 8
+ 1 3 6
_______
1 3 6 0
This is done by multiplying each digit in the 4 by each digit in the 34 and then adding the results.