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Exponents

Mathematics, Grade 6

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Study Guide Exponents Mathematics, Grade 6

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EXPONENTS What are exponents? In a mathematical expression where the same number is multiplied many times, it is often useful to write the number as a base with an exponent. The exponent represents the number of times to multiply the number, or base. When a number is represented in this way it is called a power. Example: 5³ → power with base of 5 and exponent of 3 How to use exponents: To solve for a power, simply multiply the base the number of times indicated by the exponent. In our example, 5³, five would be multiplied three times, 5 · 5 · 5 = 125. When a number is said to be squared, it means that the exponent is 2. When a number is said to be cubed, it means that the exponent is 3. If a base has the symbol, ^, and then a number, it means the number after the ^ is the exponent. Numbers written in expanded form use exponents. The number 3,452 in expanded form would be (3 · 10³) + (4 · 10²) + (5 · 10) + (2 · 1 ). Each number is multiplied by its place value and then added. When performing mathematical operations with exponents, evaluate the exponent and then perform the operation. In the Order of Operations, exponents are evaluated after parentheses. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Try this! 1. Solve the following: 6² = 4³ = 5^4 = 3^4 = 2. Rewrite with exponents: 3 · 3 · 3 · 3 · 3 2 · 2 · 2 · 2 7 · 7 · 7 3. Write in expanded form: 2,689 3,254 Solve: + 4 = 2³ · 3² = 5 + - 12 = © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
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