Which equations illustrate the commutative property of multiplication?

choose exactly two answers that are correct.

a.

-1/2 • 3.4 = 3.4 • (-1/2)

b.

–8 • (5 + 3.1) = (5 + 3.1) • (–8)

c.

–4 • (5 + 7.1) = –4 • 5 + (–4) • 7.1

d.

–8 • (4 • 1) = (–8 • 4) • 1

Option A. 12 + 6 + 15 = 12 + 15 + 6

Step-by-step explanation:

Cumulative property of addition says if there are three numbers a, b, c then

a + b + c = a + c + b

or a + b + c = c + b + a

Therefore, if three numbers are 12, 6, 15 then

equation that illustrates the commutative property of addition will be

12 + 6 + 15 = 12 + 15 + 6

Option A. 12 + 6 + 15 = 12 + 15 + 6 will be the correct option.

12 + 6 + 15 = 12 + 15 + 6

Hope this helps 😀

The answer is B AND D

Step-by-step explanation:

A. ab = ba beacause commutative means change in order of equation. all of them stay the same except A

12+6+15=12+15+6 would be correct because the communitive property states that the order can be switched but will still have the same answer

12 + 6 + 15 = 12 + 15 + 6

This is the answer because its the same even though it switches the order around.

(Wrong category btw)

Hope this helps!~

The answer is A.

Answer choices B, C, and D all show the associative property.

C)[tex]2 + b = b + 2[/tex]

Step-by-step explanation:

We are supposed to find which equations illustrates the commutative property.

Commutative property : The "Commutative Laws" say we can swap numbers over and still get the same answer i.e.

[tex]a+b=b+a[/tex]

Substitute a =2

So, [tex]2+b=b+2[/tex]

So, Option C satisfies the law

Option A , B and D does not satisfies the law .

Only Option C is true .

[tex]2 + b = b + 2[/tex]

12+6+15=12+6+15 is the correct answer

2 + b = b + 2

Step-by-step explanation:

Commutative property states that

a+b = b+a

changing the order of terms will not affect the equation

8 + 3 = 4 + 7

Here the order is not changed, the numbers are changed

So the above equation does not illustrates commutative property

If 3 + 5 = a, then a = 3 + 5

3+5 = 3+5, here the order is not changed

the above equation does not illustrates commutative property

2 + b = b + 2

Here the order of terms are changed. It does not affects the equation

the above equation illustrates commutative property

3(2 + 5) = 6 + 15

In this equation the distributive property is used

3 is distributed inside the parenthesis

the above equation does not illustrates commutative property