Can someone please help me with this problem? Use the number line to model the sum 2 + (-6). Here is my answer:
<---6---5---4---3---2--1--0--1--2--3--4--5--> Start at 2 and count backwards 6 points. Is this correct?
Yes, although I hope in the real number line you make a clear distinction between positive and negative.
Is there a way to make the clear distinction between positive and negative? Thanks.
To model the sum 2 + (-6) on a number line, you need to start at 2 and then move backwards 6 units. Here's how you can do it step by step:
1. Start at the number 2 on the number line:
<---6---5---4---3---2--1--0--1--2--3--4--5-->
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2
2. To go backwards 6 units, you need to move 6 spaces to the left (or negative direction) from 2.
<---6---5---4---3---2--1--0--1--2--3--4--5-->
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2
(move 6 units left)
3. Moving 6 units to the left from 2 takes you to the number -4.
<---6---5---4---3---2--1--0--1--2--3--4--5-->
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-4
Therefore, the sum of 2 + (-6) represented on the number line is -4.
So, your answer is not correct. The correct answer is -4, not -6.