Select a property to see details:
Adding zero (0) to any rational number gives the same number. Example:
Multiplying any rational number by 1 gives the same number. Example:
Adding a rational number with its additive inverse gives zero. Example:
Here, 1/2 and -1/2 are additive inverses.
Multiplying a rational number with its multiplicative inverse gives 1. Example:
Here, 2/3 and 3/2 are multiplicative inverses.
If a/b and c/d are rational numbers, then
This is called the commutative property of multiplication.
If a/b and c/d are rational numbers, then
This is called the commutative property of addition.
If a/b, c/d, and e/f are rational numbers, then
This is called the associative property of multiplication.
If a/b, c/d, and e/f are rational numbers, then
This is called the associative property of addition.
If 1/2 and 2/3 are rational numbers, then
The product is also a rational number. This is called the closure property of multiplication.
If 1/2 and 2/3 are rational numbers, then
The sum is also a rational number. This is called the closure property of addition.
Question: Adding zero to a rational number gives the same number. Which property is this?