Question

Jenna’s method: Mia’s method:

5(30 + 4) 5(30 + 4)

(5)(30) + (5)(4) 5(34) = 170

150 + 20 = 170



Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other.

Answer 1

Both methods multiplied 5 and 34, but Jenna’s method used the distributive property to simplify the multiplication so she could do the math mentally. Mia’s method would require more complex multiplication.

Step-by-step

Answer 2

Mia's method have one advantage that the steps became less than Jenna's method.

Explanation:

Jenna’s method :

`5(30 + 4)`

`=(5)(30) + (5)(4)`

`=150 + 20`

`=170`

Mia’s method :

`5(30 + 4)`

`=(5)(34)`

`=170`

To find : Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other ?

Solution :

The method of both were different but correct.

One apply distributive property and other apply direct calculation.

So, both Jenna and Mia arrived at the same answer

But Mia's method have one advantage that the steps became less than Jenna's method.