options: Compute fluently with multi-digit numbers and find common factors and multiples.

Apply and extend previous understandings of numbers to the system of rational numbers.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Use properties of rational and irrational numbers.

Use complex numbers in polynomial identities and equations.

Reason quantitatively and use units to solve problems.

Perform operations on vectors.

Extend the properties of exponents to rational exponents.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Represent and model with vector quantities.

Perform operations on matrices and use matrices in applications.

Represent complex numbers and their operations on the complex plane.

Know that there are numbers that are not rational, and approximate them by rational numbers.

Perform arithmetic operations with complex numbers.
problem_activity: Task
A penny is about $\frac{1}{16}$ of an inch thick.
In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
In the past 100 years, nearly 500 billion pennies have been minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
The distance from the moon to the earth is about 239,000 miles. How many pennies would need to be in a stack in order to reach the moon?


correct_option_index: 0