ML Properties of Real Numbers

Front

What does the identity property of addition state?

Back

Zero added to any number results in the same number.

Front

What property is described by the equation 1 + (-1) = 0?

Back

Inverse property of addition.

Front

What does the zero property of multiplication state?

Back

Any number multiplied by zero equals zero.

Front

What is the associative property of multiplication?

Back

(a ⋅ b) ⋅ c = a ⋅ (b ⋅ c) for any numbers a, b, and c.

Front

What does the identity property of multiplication state?

Back

One multiplied by any number results in the same number.

Front

What is the commutative property of addition?

Back

a + b = b + a for any numbers a and b.

Front

What is the commutative property of multiplication?

Back

a ⋅ b = b ⋅ a for any numbers a and b.

Front

What is the inverse property of multiplication?

Back

For any number a (except 0), a ⋅ (1/a) = 1.

Front

What is the distributive property?

Back

a(b + c) = ab + ac for any numbers a, b, and c.

Front

What does the inverse property of addition state?

Back

For any number a, a + (-a) = 0.