Question

David and Ashley want to calculate $8.27 – $2.98 by first calculating $8.27 – $3 = $5.27. David says that they must subtract $0.02 from $5.27, but Ashley says that they must add $0.02 to $5.27.

-Draw a number line (which need not be perfectly to scale) to help you explain who is right and why. Do not just say which answer is numerically correct; use the number line to help you explain why the answer must be correct.
-Explain in another way who is right and why.

Answer 1

Number lines are used to represent numbers on a line at a regular interval.

David's statement is correct, while Ashley is incorrect

The expression is given as:

$\mathbf{8.27 - 2.98}$

Using number lines

The end result on David's number line is 5.29, while the end result on Ashley's number line is 5.25

The correct result of the expression $\mathbf{8.27 - 2.98}$ is 5.29 shows that David is correct

See attachment for the number lines that illustrate David and Ashley's statements

Another way

David's statement can be expressed as:

$\ 8.27 - \ 3 - \ 0.02 = \ 5.29$

While, the expression for Ashley's expression is:

$\ 8.27 - \ 3 + \ 0.02 = \ 5.25$

The original expression is:

$\ 8.27 - \ 2.98 = \ 5.29$

By comparing the above expressions, we can conclude that David is correct

Read more about number lines at:

https://brainly.com/question/18611090