Question

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. Expressions Generated by Students Student Expression Jeremy (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

Answer 1

Answer:

The correct option is four.

Step-by-step explanation:

The associative property implies that the values are added however we want, i.e. the numbers can be grouped in any way and the answer would still be the same.

The associative property of addition is:

$(a+b)+c=a+(b+c)$

The expression provided is:

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

The answer provided by four students are:

Jeremy : (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)

So, all the four students correctly applied only the associative property to rewrite the expression.

The correct option is four.

Answer 2

Answer:

⇒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)

Step-by-step explanation: