few_shots: Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Standard options: 
A. Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
B. Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.


Your response, in json format:
{
  "explanation": "An initial step when solving for x in this problem requires the use of the addition formula for cosine on the left side of the equation. Solving this problem does not require use of the Pythagorean identity.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: fl_problem_001894

HS
options: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Use place value understanding to round decimals to any place.

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Read, write, and compare decimals to thousandths.
problem_activity: Problem 1
a.   Solve.
$$0.03 \times 10$$
= ___________
$$0.106 \times 10$$
= ___________
$$54.8 \times 10$$
= ___________
b.   What do you notice about Part (a)? What do you wonder?
Problem 2
a.   Solve.
$$0.09 \times 10 =$$
___________
$$0.09 \times 100=$$
___________
$$0.09 \times 1,000= $$
___________
b.   What do you notice about Part (a)? What do you wonder?
c.   Solve.
$$70.6 \times 10=$$
___________
$$70.6 \times 10^2 =$$
___________
$$70.6 \times 10^3 =$$
___________
d.    What do you notice about Part (c)? What do you wonder?
e.   Use your conclusions from Parts (b) and (d) to find the solutions below.
$$23.48 \times 10,000 =$$
___________
$$6.059 \times 10^3 =$$
___________
Problem 3
The value of the 8 in 83.16 is how many times the value of the 8 in 7.8?


correct_option_index: 0

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