Properties are special qualities of something.

Addition and multiplication have special qualities that help you solve

problems mentally=

MENTAL MATH!!

Commutative Properties

ANY ORDER!

You can add or multiply in any order and get the same answer.

5 + 3 = 8 4 x 9 = 36

Or

3 + 5 = 8 9 x 4= 36

Does it work for subtraction?

Does it work for division?

Associative Properties

GROUP NUMBERS!

You can group numbers in different ways when adding or multiplying and get the same answer.

4 + (6 + 7) = 17 2 x (5 x 13) = 130

or

(4 + 6) + 7 = 17 (2 x 5) x13 = 130

Does it work for subtraction?

Does it work for division?

Distributive Properties

BREAK APART NUMBERS!

You can multiply a sum by a factor by finding two separate products and adding the products.

4 x 12 = 48

4 x (10 + 2) = 48

(4 x 10) + (4 x 2) = 48

Does it work for subtraction?

Does it work for division?

Let’s Practice!Solve using mental math. Name the property

you used!200 x 36 x 5 =

25 + 634 + 75 =

3 x 29 =

Use compensation to find answers mentally!

58 + 93 = (58 + 3) + (93 – 3)

= 61 + 90

= 151

352 – 49 =