Lesson 3 Algebra

What mathematical properties do I need to get started in Algebra?

A math rule that is always true and also necessary in order to solve problems.

Property

Vocabulary

The commutative property

This applies to ADDITION and MULTIPLICATION.

3 + 4 = 4 + 3

And also

3 × 4 = 4 × 3

​When adding or multiplying, the order of the numbers doesn't change the answer!

The associative property

This applies to ADDITION and MULTIPLICATION.

(3 + 4) + 7 = 3 + (4 + 7)

And also

(3 × 4) × 7 = 3 × (4 × 7)

​When adding or multiplying, the GROUPING of the numbers doesn't change the answer either!!!

The zero property of multiplication.

Any number times zero equals zero.

The multiplication property of -1.

Any number times -1 equals the negative version of that number.

15 × -1 = -15

Now, use your notes to answer the questions.

Multiple Choice

Which property is it?

75 + 6 = 6 + 75

• zero property of multiplication

• multiplication property of -1

• commutative property of addition

• associative property of addition

Multiple Choice

Which property is it?

(16 × 2) × 7 = 16 × (2 × 7)

• zero property of multiplication

• multiplication property of -1

• commutative property of multiplication

• associative property of multiplication

Multiple Choice

Which property is it?

3,468,223¹⁶ × 0 = 0

• zero property of multiplication

• multiplication property of -1

• commutative property of multiplication

• associative property of multiplication

Multiple Choice

Which property is it?

1653 × -1 = -1653

• zero property of multiplication

• multiplication property of -1

• commutative property of multiplication

• associative property of multiplication