can you solve 6/2 (1+3) for me?

Question

use pemdas to solve this problem

Answer 1

Hi,

6/2(3+1)

3(3+1)

3(4)

12

Answer 2

6/2 (1+3) = 3(4)

Answer 3

2(1+3) is one number. Why? People are incorrectly separating the 2 from the parentheses. It is a factor of the 2 numbers inside it. People are trying to solve this as a calculator would, but that is the wrong way. Solve it using algebra techniques with a pen & paper (See URL at the bottom)

Now, think of the Identity Law: a = 1a = 1(a) Ask yourself: what is a ÷ a = ?? Ans: 1

 a ÷ a = 1

Now, Identity Law says any variable that has no coefficient actually has a 1, whether it is written or not.

So, a ÷ 1a = 1 ALWAYS. It is NOT a ÷ 1 * a = a² . That is ridiculous.

This proves that 1a = (1a) and (1 * a). 1a is not the same meaning as 1 * a. Therefore,

a ÷ 2a = 1/2

6 ÷ 2a = 3/a

Let a = 3+1.

6 ÷ 2a = 3 /a

6 ÷ 2(3+1) = 3/(3+1)

6 ÷ 2(3+1) ? Ans: 3/4 Proven with the laws of math.

6 ÷ 2(3+1) = 3/4

 

And…

6 ÷ (3+1)2 = 3/4

(6 ÷ 2)*(3+1) = 12

6(3+1) ÷ 2 = 12