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