standard_description: Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
problem_activity: Problem 1
Consider the set of numbers
$$6$$
,
$${4 \frac{1}{2}}$$
,
$$2$$
, and
$$5$$
, and answer the questions that follow.
a.   Graph the numbers on the number line and list the numbers in order from least to greatest.
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b.   Write the opposites of each number and graph them on the number line.
c.   Order the opposites from least to greatest.
d.   Is −5 greater than −2? Explain using your number line.
Problem 2
Order the rational numbers below from least to greatest.
$${5, -4, -\frac{1}{3}, \frac{10}{3}, 3, 0, -4\frac{1}{4}, -4\frac{3}{4}}$$
What strategies did you use to determine the correct order?
Problem 3
A student orders three rational numbers from least to greatest as:
$${{{{{{{{{-5}}}}}}}}}$$
,
$${{{{{{{{{-5}}}}}}}}} \frac {1}{3}$$
,
$$6$$
Are the numbers ordered correctly? Choose the best statement below.


aligns: no