Question

Ms Whittier wrote the following on the board:

the product of 6 and the sum of 4 and 5

She asked the students in her class to write an expression to represent what she wrote.

PART A:
Sherry wrote the following expression:

6x4x5

Did Sherry write a correct expression? Explain why or why not.

PART B:

Write two different expressions to represent what Ms. Whittier wrote. Explain how you know they are both correct.

Answer 1

Sherry didn't write the correct expression, the correct expression should have been 6×(4+5) or 6×(5+4). Sherry found the product of 6,5, and 4, instead of the product of 6 and the sum of 5 and 4. In addition, the two expressions above are both correct because both do represent the product of 6 and the sum of 5 and 4. Furthermore, 5+4 and 4+5 are the same.

Answer 2

The correct expressions that represents what Ms. Whittier wrote on the board are; 6 × (4 + 5) or 6 × (5 + 4)

How to write equations correctly?

We are told that the teacher wrote; The product of 6 and the sum of 4 and 5 on the board.

A) Sherry wrote 6 × 4 × 5.

Sherry didn't write the correct expression because the correct expression should be; 6 × (4 + 5) or 6 × (5 + 4). Sherry found the product of 6,5, and 4, instead of multiplying 6 by the sum of 5 and 4.

B) The two expressions that represent what Ms. Whittier wrote are;

6 × (4 + 5) or 6 × (5 + 4)

They are correct because according to properties of algebra, the items in the bracket with adddition operation can be switched and still get the same value.

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