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−15 ÷ 5 =

A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.

Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.

1 answer

To evaluate Emily's use of the number line to find the quotient for -15 ÷ 5, we can identify several errors based on the context provided. Here are the correct answers that identify her mistakes:

  1. The arrows should point in the negative direction. - Since we are dividing a negative number by a positive number, the result is negative, and the arrows need to point towards negative numbers.

  2. The arrows should end on negative 15. - The final result of -15 ÷ 5 is -3, and the representation on the number line should reflect the division correctly.

  3. There should be 5 small arrows. - To divide -15 into 5 equal parts, there would need to be 5 divisions (or "small arrows") that represent this process.

The other two choices don't accurately reflect standard errors: the arrows do not logically start at zero for this problem, as we are focused on a specific negative value (-15), and there might be confusion about the relationship between the large and small arrows without context.

Therefore, the three selected answers that reflect Emily's mistakes are the first three ones listed above.