Order of Operations, Prime Factorization, & Exponents

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What is the order of operations in mathematics?

Back

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

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CCSS.7.NS.A.3

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What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

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CCSS.4.OA.B.4

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What is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as a product of its prime factors.

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How do you find the prime factorization of a number using a factor tree?

Back

To find the prime factorization using a factor tree, divide the number into two factors, then continue to factor each resulting number until all factors are prime.

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What is the value of 2⁵?

Back

The value of 2⁵ is 32.

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CCSS.6.EE.A.1

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What is the value of 3⁴?

Back

The value of 3⁴ is 81.

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CCSS.6.EE.A.1

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What is the result of 5 + 3 × 2?

Back

According to the order of operations, the result is 11 (first multiply 3 × 2 = 6, then add 5).

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the value of 10 - 2³?

Back

The value of 10 - 2³ is 2 (first calculate 2³ = 8, then subtract 8 from 10).

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CCSS.2.NBT.B.6

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What is the prime factorization of 36?

Back

The prime factorization of 36 is 2² × 3².

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CCSS.4.OA.B.4

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What is the value of 4² + 3²?

Back

The value of 4² + 3² is 25 (16 + 9 = 25).

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CCSS.HSN.CN.A.2