Which equations illustrate the commutative property of multiplication? choose exactly two answers that

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

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This Post Has 10 Comments

  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.

  2. 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

  3. 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!~

  4. 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]

  5. 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

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