Mathematical Properties REDO

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

Simplify the expression using the Distributive Property: 3(4 + 5)

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

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 ab = ba.

Front

Which expression demonstrates the Commutative Property?

Back

5 + 3 = 3 + 5.

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 their sum or product. For example, (a + b) + c = a + (b + c).

Front

Simplify the expression using the Associative Property: (2 + 3) + 4

Back

(2 + 3) + 4 = 5 + 4 = 9.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, a * 1 = a.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even if it looks different. For example, 2(x + 3) and 2x + 6 are equivalent.

Front

Find an equivalent expression for 2(x + 4).

Back

2(x + 4) = 2x + 8.