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Anna71 [15]
2 years ago
9

If a and b represent numbers, which of the following statements represents the commutative property of multiplication?

Mathematics
2 answers:
Gemiola [76]2 years ago
7 0

The commutative property of multiplication states that the numbers can be multiplied in any order.

a+b = b+a : Commutative property of addition

a*b = b*a : Commutative property of multiplication

a+0=a : Additive identity property  

a*1 =a : Multiplicative identity property  

Answer : a*b =b*a


Lynna [10]2 years ago
7 0

Answer:

a · b = b · a

Step-by-step explanation:

Commutative property of multiplication states that the order of multiplication in real numbers does not matter,

I.e.

m × n = n × m

∀ m, n ∈ R

Thus, the correct option that represents the commutative property of multiplication is,

a · b = b · a

Note :

a + b = b + a represents commutative property of addition,

a + 0 = a represents the additive identity property,

a . 1 = a represents the multiplicative identity property.

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3x(2x+1)-1(2x+1)=0

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Find the pattern and use it to list the nth term in the sequence.<br> 3, 9, 27, 81, 243 ...
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The pattern is formed a geometric sequence

The nth term of the sequence is a_{n}=3^{n}

Step-by-step explanation:

The formula of the nth term of a geometric sequence is:

a_{n}=ar^{n-1} , where

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∵ The pattern is 3 , 9 , 27 , 81 , 243

∵ 9 ÷ 3 = 3

∵ 27 ÷ 9 = 3

∵ 81 ÷ 27 = 3

∵ 243 ÷ 81 = 3

- There is a common ratio 3 between each two consecutive terms

∴ The pattern is formed a geometric sequence

∵ The first term is 3

∴ a = 3

∵ The common ratio is 3

∴ r = 3

- To find the nth term substitute a and r in the formula above

∵ a_{n}=ar^{n-1}

∴ a_{n}=3(3)^{n-1}

- Remember we add the powers of the same base with multiplication

∵ 3 × 3^{n-1} = 3^{1+n-1}

∴ 3 × 3^{n-1} = 3^{n}

∴ a_{n}=3^{n}

∴ The nth term of the sequence is  a_{n}=3^{n}

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

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