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Read this word problem. $\newline$ The city of Amsterdam is $2$ meters below sea level. Lammefjord, a city in Denmark, is $7$ meters below sea level. How much higher is Amsterdam than Lammefjord? $\newline$ To solve the problem, Elizabeth subtracted $-2 - (-7)$ and came up with an answer of $-5$ . Is Elizabeth correct? Why or why not? $\newline$ Choices: $\newline$ (A)Yes, Elizabeth is correct. $\newline$ (B)No. The answer should have been $5$ meters, not $-5$ meters, because Amsterdam is higher than Lammefjord. $\newline$ (C)No. Elizabeth should have added $-2 + (-7)$ because she needs to find the total difference.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

The city of Amsterdam is

2

meters below sea level. Lammefjord, a city in Denmark, is

7

meters below sea level. How much higher is Amsterdam than Lammefjord?

\newline

To solve the problem, Elizabeth subtracted

-2 - (-7)

and came up with an answer of

-5

. Is Elizabeth correct? Why or why not?

\newline

Choices:

\newline

(A)Yes, Elizabeth is correct.

\newline

(B)No. The answer should have been

5

meters, not

-5

meters, because Amsterdam is higher than Lammefjord.

\newline

(C)No. Elizabeth should have added

-2 + (-7)

because she needs to find the total difference.

Elizabeth's calculation: Elizabeth's calculation: $-2 - (-7)$ .
Subtracting a negative: Subtracting a negative is like adding a positive, so $-2 - (-7)$ becomes $-2 + 7$ .
Adding $-2$ and $7$ : Now, add $-2$ and $7$ : $-2 + 7 = 5$ .
Comparison of answers: Elizabeth's answer was $-5$ , but the correct answer is $5$ meters. Amsterdam is $5$ meters higher than Lammefjord.

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