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

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

Use complex numbers in polynomial identities and equations.

Represent complex numbers and their operations on the complex plane.

Use properties of rational and irrational numbers.

Reason quantitatively and use units to solve problems.

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

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

Perform operations on matrices and use matrices in applications.

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

Represent and model with vector quantities.

Extend the properties of exponents to rational exponents.

Perform operations on vectors.

Perform arithmetic operations with complex numbers.
problem_activity: Task
Decide which value is closest to the answer for each of the following questions. Explain your reasoning.
8 bottles each contained 1.2 liters of water. About how many liters of water were there all together?
| 0.1 | 1 | 10 | 100 |
|-----|---|----|-----|
A school bought 8.5 kilograms of apples. If apples cost $2.45 per kilogram, about how much did they pay (in dollars)?
| 0.2 | 2 | 20 | 200 |
|-----|---|----|-----|
A laptop contains about 0.0006 kilograms of gold. If a manufacturer plans to produce 10,100 of these laptops, about how many kilograms of gold are needed?
| 0.6 | 6 | 60 | 600 |
|-----|---|----|-----|


correct_option_index: 7