Exponents, Scientific Notation, Order of Operations, LCM, GCF

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What is scientific notation?

Back

Scientific notation is a way to express very large or very small numbers in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

What is the order of operations?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

How do you find the least common multiple (LCM) of two numbers?

Back

To find the LCM, list the multiples of each number and find the smallest multiple that is common to both lists.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

What is the prime factorization of a number?

Back

Prime factorization is expressing a number as the product of its prime factors. For example, the prime factorization of 12 is 2 x 2 x 3.

Front

How do you simplify expressions with exponents?

Back

To simplify expressions with exponents, use the laws of exponents, such as a^m * a^n = a^(m+n) and (a^m)^n = a^(m*n).

Front

Convert 12,000,000 to scientific notation.

Back

1.2 x 10^7

Front

Convert 450,000 to scientific notation.

Back

4.5 x 10^5

Front

What is the formula for finding the LCM using prime factorization?

Back

The LCM is found by taking the highest power of each prime factor from the prime factorizations of the numbers.