Identity property of multiplication
The identity property of multiplication, also called the multiplication property of one says that a number does not change when that number is multiplied by 1.
Examples
3 × 1 = 3
10 × 1 = 10
6 × 1 = 6
68 × 1 = 68
1 × 4 = 4
1 × 9 =  9
x × 1 = x
(a + b) × 1 = a + b
Multiplicative inverse property
If you multiply two numbers and the product is 1, we call the two numbers multiplicative inverses or reciprocals of each other
For example, 4 is the multiplicative inverse of 1/4 because 4 × 1/4 = 1
1/4 is also the multiplicative inverse of 4 because 1/4 × 4 = 1
Notice that the multiplicative inverse of 1 is 1. In fact, 1 and 1 are the only two numbers that can be their own multiplicative inverse
Notice also that any number divided by 1 return the same number
We call this the identity property of division
Examples
2 ÷ 1 = 2
50 ÷ 1 = 50
5 ÷ 1 = 5
Fun math game: Destroy numbered balls by adding to 10
