This document summarizes key properties of addition and multiplication. It explains that addition and multiplication are both commutative, meaning the order of elements does not change the result. It also explains that they are both associative, meaning grouping elements differently does not alter the outcome. It introduces the identity properties that show adding or multiplying any number by 0 or 1 respectively does not change the original number. Finally, it describes the distributive property where multiplying a number by a sum equals the sum of multiplying that number by each addend.

1. PROPERTIES OF ADDITION AND MULTIPLICATION
ADDITION EXPLANATION MULTIPLICATION EXPLANATIO
N
a + b = b + a THE ORDER OF a x b = b x a THE ORDER OF
COMMUTATIVE THE ADDENDS THE FACTORS
PROPERTY 22 + 5 = 5 + 22 DOESN´T CHANGE 3 X 7 = 7 X 3 DOESN´T
27 = 27 THE SUM 21 = 21 CHANGE THE
PRODUCT
ASSOCIATIVE (a + b) + c = a + (b + c) CHANGING THE (a x b) x c = a x (b x c) CHANGING THE
PROPERTY GROUPING OF THE GROUPING OF
14 +(5 + 7) = (14 +5)+7 ADDENDS DOESN (4x 5) x 6 = 4 x (5 x 6) THE FACTORS
14 + 12 = 19 + 7 ´T CHANGE THE 20 x 6 = 4 x 30 DOESN´T
26 = 26 SUM 120 = 120 CHANGE THE
PRODUCT
IDENTITY PROPERTY a + 0 = a THE SUM OF A a x 1 = a THE PRODUCT
NUMBER AND O OF A NUMBER
6 + 0 = 6 IS THE NUMBER 4 x 0 = 0 AND 1 IS O.
PROPERTY OF ZERO
OR ELEMENTO 236 + 0 = 236
NEUTRO
ZERO PROPERTY OF a x 0 = 0 THE PRODUCT
MULTIPLICATION -------------------- ---------------- OF O AND A
4 x 0 = 0 NUMBER IS O.
DISTRIBUTIVE a x (b + c) = (a x b) + (a x c) THE PRODUCT OF A FACTOR AND A SUM
PROPERTY OF IS EQUAL TO THE SUM OF THE PRODUCTS.
ADDITION AND 3 x (6+8) = (3 x 6) + (3 x 8)
MULTIPLICATION 3 x 14 = 18 + 24
42 = 42