Commutative property

Front

What is the commutative property?

Back

The commutative property states that the order in which two numbers are added or multiplied does not change the result. For example, a + b = b + a and a × b = b × a.

Front

Give an example of the commutative property of addition.

Back

3 + 5 = 5 + 3, both equal 8.

Front

Give an example of the commutative property of multiplication.

Back

4 × 6 = 6 × 4, both equal 24.

Front

What is the associative property?

Back

The associative property states that the way in which numbers are grouped in addition or multiplication does not change the result. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Front

What is the distributive property?

Back

The distributive property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a × (b + c) = a × b + a × c.

Front

Is the expression 2 + 3 = 3 + 2 an example of the commutative property?

Back

Yes, it demonstrates the commutative property of addition.

Front

Is the expression 5 × 7 = 7 × 5 an example of the commutative property?

Back

Yes, it demonstrates the commutative property of multiplication.

Front

True or False: The expression 2 + (3 + 4) = (2 + 3) + 4 demonstrates the commutative property.

Back

False, it demonstrates the associative property.

Front

True or False: The expression 8 × 1 = 1 × 8 demonstrates the commutative property.

Back

True.

Front

What does it mean if two expressions are equivalent?

Back

It means they have the same value or result.