Understand ordering and
absolute value of rational numbers.
a. Interpret
statements of inequality as statements about the relative position of two
numbers on a number line diagram. For example, interpret –3 > –7
as a statement that –3 is located to the right of –7 on a number line
oriented from left to right.
b. Write,
interpret, and explain statements of order for rational numbers in
realworld contexts. For example, write −3∘𝐶
> −7∘𝐶
to express the fact that −3∘𝐶
is warmer than −7∘𝐶.
c. Understand
the absolute value of a rational number as its distance from 0 on the number
line; interpret absolute value as magnitude for a positive or negative
quantity in a realworld situation. For example,
for an account balance of –30 dollars, write –30 = 30 to describe the
size of the debt in dollars.
d. Distinguish
comparisons of absolute value from statements about order. For
example, recognize that an account balance less than –30 d dollars
represents a debt greater than 30 dollars.
