To determine which number line correctly graphs the numbers in the list –6, 4, –1, 0, 5, we need to find the number line that accurately represents these specific values.
The numbers in the list are:
- –6
- –1
- 0
- 4
- 5
Looking at the options provided:
-
First option: A number line going from negative 6 to positive 6 in increments of 1. Points are at negative 6, negative 1, 0, 4, 5.
- This includes all of the numbers in our list and correctly marks them.
-
Second option: A number line going from negative 6 to positive 6 in increments of 1. Points are at negative 6, 0, 1, 4, 5.
- This option misses –1 and incorrectly includes 1, which is not in the list.
-
Third option: A number line going from negative 2 to positive 10 in increments of 1. Points are at 0, 1, 4, 5, 6.
- This option misses both –6 and –1.
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Fourth option: A number line going from negative 2 to positive 10 in increments of 1. Points are at negative 1, 0, 4, 5, 6.
- This option misses –6 and incorrectly includes 6.
The only option that accurately represents all the numbers in the list is the first option.
Answer: A number line going from negative 6 to positive 6 in increments of 1. Points are at negative 6, negative 1, 0, 4, 5.