Question

00:00 Jayden evaluated the expression a = (2 + 1.5) for a = 14. He said that the answer was 8.5. Choose True or False for each statement Choose... Jayden's solution is incorrect. Choose... Jayden added in the parentheses before dividing. Choose... Jayden substituted the wrong value for a. Choose... Jayden divided 14 by 2 and added 1.5.

Answer 1

Step-by-step explanation:

Let's see what's the value of the expression if we substitute a = 14:

`14\colon(2+1.5)=14\colon3.5=4`

So definetly Jayden's solution is not correct.

Let's check the second statement: that's what we just did - add the parentheses before dividing. If Jayden would've done that he would have arrieved at the same solution we did, so definetly this statement is false

The third statement could be true. Let's see which value of a gives 8.5 as a result:

`\begin{gathered} a\colon(2+1.5)=8.5 \\ a\colon3.5=8.5 \\ a=8.5*3.5 \\ a=29.75 \end{gathered}`

If 'a' were 29.75, Jayden would be correct.

Let's see what happens if we divide 14 by 2 and then add 1.5:

`(14\colon2)+1.5=7+1.5=8.5`

This is the result Jayden got, so definetly this is one option for what he did wrong.

Answer:

• Jayden's solution is incorrect: ,true

,

• Jayden added in the parentheses before dividing:, ,false

,

• Jayden substituted the wrong value for a: ,true

,

• Jayden divided 14 by 2 and then added 1.5: ,true