The option that specifies the reasons for A, B, and C to prove the equation (4 · 3)·l + (2 · 4)·l = 20·l are;
A. Commutative Property of Multiplication
C. Distributive property
B. Associative Property of Multiplication
What is an equation; An equation is a statement of equivalence between expressions.
The statement and reasons to prove (4 · 3)·l + (2 · 4)·l = 20·l, can be presented as follows;
Statements Reasons
(4 · 3)·l+(2 · 4)·l = (4 · 3)·l+(4 · 2)·l A. Commutative property of multiplication
= 4·(3·l + 2·l) B. Distributive property
= 4·(5·l) Addition
= (4 · 5)·l C. Associative property of multiplication
The commutative property of multiplication states when the order of the numbers to be multiplied are changed the product remains the same
Example; 5 × 4 = 20
4 × 5 = 20
Distributive property states that the product of a factor or a number and the sum of two terms is the same as the sum of the product of the number and each of the terms
The associative property of multiplication states that the product of three or more numbers remains the same even with a change in the grouping of the numbers