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Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13+15+20)+(20+47+18). The expressions that four students created are shown in the table below.

Jerry (20+13+15)+(20+47+18)

Layla (20+47+18)+(13+15+20)

Keith (13+20)+(20+47+18)+15

Melinda (13+15+20+20)+(47+18)


How many of the students correctly applied only the associative property to rewrite the expression?

one

two

three

four

Verified Answer :

Answer with explanation:

⇒Associative property of Addition is applied for three real numbers.For, any three real numbers, A, B and C

≡A+B+C=A+(B+C)=(A+B)+C=(A+C)+B→→→Associative Property of Addition

that is , we can add any two numbers first and then the third number with them.

⇒Also, Commutative Property of Addition of two numbers says that for any two numbers , A and B

≡A+B=B+A

We have to find equivalent expression using Associative Property of the sum of set of three numbers

→→(13+15+20)+(20+47+18)

   Answer Written by Jerry

→(20+13+15)+(20+47+18)

Answer Written by Layla

→(20+47+18)+(13+15+20)

The Expression Written by Keith and Melinda is Incorrect,because they haven't used the bracket Properly, as associative property says that you can add any two numbers first and then the third number among three numbers.

→→Number of Students who has applied the Associative property Correctly

Option B ⇒Two(Jerry, Layla)

Answer:

one

Step-by-step explanation:

Associative property of addition states that (a + b) + c = a + (b + c),  where a, b and c are some known numbers. This means that you can change the place where parenthesis are without changing the result of the addition. Regardless the four students didn't change the result of the addition, only Melinda used the associative property adequately.

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