few_shots: 
Example:
Problem/activity:
For each pair of numbers, determine if the values are equivalent. Explain your reasoning for each one.
a.
$$-0.25$$
and
$$\frac{1}{-4}$$
b.
$$-\left ( \frac{1}{4} \right )$$
and
$$\frac{-1}{-4}$$
c.
$$\frac{-1}{4}$$
and
$$-\frac{1}{4}$$


Concept/skill: 
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Answer: 
Yes. This problem involves understanding fractions and division to divide rational numbers, such as 1, -4, 4, and -1. This problem also involves an understanding of multiplication: if p and q are integers, then -(p/q) = (-p)/q = p/(-q).

Now, does the problem or activity shown below enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_001097_pos_0

7
standard_description: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
problem_activity: Complete the following chart:
{"table": [{"_attributes": {"align": "Center", "class": ["table", "table-bordered"], "style": "table-layout:fixed; width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Standard Form"}]}, {"_attributes": {"style": "background-color:#eeeeee; width: 40%; text-align:center"}, "strong": [{"_value": "Word Form"}]}, {"_attributes": {"style": "background-color:#eeeeee; width: 40%; text-align:center"}, "strong": [{"_value": "Expanded Form"}]}]}, {"td": [{}, {}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$(4\\times1)+\\left(6\\times\\frac{1}{100}\\right) + \\left(3\\times{\\frac{1}{1,000}}\\right)$$"}]}]}, {"td": [{}, {"_attributes": {"style": "text-align:center"}, "_value": "thirty-five thousandths"}, {}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "42.905"}, {}, {}]}]}]}]}


aligns: no