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 following problem or activity enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_001097_pos_0

7
standard_description: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
problem_activity: Problem 1
Use the fact that 221 ÷ 17 = 13 to solve the following.
22.1 ÷ 17
2.21 ÷ 17
221 ÷ 1.7
221 ÷ 0.17
22.1 ÷ 1.7
2.21 ÷ 0.17
How did you determine where the decimal point would be in the quotients in Part (a) above? Why does that make sense?
Problem 2
Solve. Show or explain your work.
51 ÷ 6
45.2 ÷ 5
3.7 ÷ 20
14.04 ÷ 52
0.9 ÷ 0.25
27.54 ÷ 3.4


aligns: no