Exponents, PEMDAS, & Prime Factorization

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What is an exponent?

Back

An exponent is a number that shows how many times a base number is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 × 2 × 2 = 8).

Tags

CCSS.6.EE.A.1

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What does PEMDAS stand for?

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PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is the order of operations used to solve mathematical expressions.

Tags

CCSS.7.NS.A.3

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What is the prime factorization of a number?

Back

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

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What is the prime factorization of 36?

Back

The prime factorization of 36 is 2^2 × 3^2.

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What is the expanded form of 4^6?

Back

The expanded form of 4^6 is 4 × 4 × 4 × 4 × 4 × 4.

Tags

CCSS.6.EE.A.1

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How do you find the number of equal payments needed to repay a loan?

Back

To find the number of equal payments needed to repay a loan, subtract the amount already paid from the total loan amount, then divide by the amount of each payment.

Tags

CCSS.8.EE.C.7B

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What is the prime factorization of 90?

Back

The prime factorization of 90 is 2 × 3^2 × 5.

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What is a prime number?

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A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, 7, and 11.

Tags

CCSS.4.OA.B.4

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What is the difference between multiplication and exponentiation?

Back

Multiplication is repeated addition of the same number, while exponentiation is repeated multiplication of the same number. For example, 3 × 3 = 9 (multiplication) and 3^2 = 3 × 3 = 9 (exponentiation).

Tags

CCSS.6.EE.A.1

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What is a factor tree?

Back

A factor tree is a diagram used to break down a number into its prime factors. It starts with the number at the top and branches out into its factors.