## Finer grained standards that are part of this one

A number written in scientific notation is the product of two factors: a decimal greater than or equal to one but less than 10 multiplied by a power of 10 (e.g., 3.1 x 10⁵ = 310,000 and 3.1 x 10-⁵ = 0.000031).

Any real number raised to the zero power is 1. The only exception to this rule is zero itself. Zero raised to the zero power is undefined.

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

Real numbers can be represented as integers, fractions (proper or improper), decimals, percents, numbers written in scientific notation, radicals, and 𝜋. It is often useful to convert numbers to be compared and/or ordered to one representation (e.g., fractions, decimals or percents).

Proper fractions, improper fractions, and mixed numbers are terms often used to describe fractions. A proper fraction is a fraction whose numerator is less than the denominator. An improper fraction is a fraction whose numerator is equal to or greater than the denominator. An improper fraction may be expressed as a mixed number. A mixed number is written with two parts: a whole number and a proper fraction (e.g., 3 5/8). Fractions can have a positive or negative value.

The density property states that between any two real numbers lies another real number.

Scientific notation is used to represent very large or very small numbers.