Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Find the distance between each house and the school mentally.
13.2
Activity
and
13.3
Activity
It’s That Far Away
Find 2 numbers that are a distance away from on the number line.
Use and to write 2 expressions that find the values that are away from .
Kiran is looking at some old work where he did problems like this and found an answer that was marked correct. The answer is -18 and 46. Could Kiran figure out the values of and from the problem based on these values? If so, what are the values? If not, what additional information would help? Explain or show your reasoning.
In a planned neighborhood along Stepford Street, all of the houses are identical and equally distant from one another. The house at 102 Stepford Street is 2,250 feet from the house at 84 Stepford Street. Is there enough information to find the address of another house that is that same distance away from 84 Stepford Street? Explain your reasoning.
Glossary
None
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