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Lesson 3 NYS COMMON CORE MATHEMATICS CURRICULUM 81 Lesson 3: Numbers in Exponential Form Raised to a Power Classwork For any number and any positive integers and, () () () because (()) () (3
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How to fill out numbers in exponential form

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How to fill out numbers in exponential form:

01
Determine the base number: The base number is the number being multiplied by itself in exponential form. For example, if you have the number 5^3, the base number is 5.
02
Identify the exponent: The exponent is the small number written above and to the right of the base number. In the example of 5^3, the exponent is 3.
03
Write the number in exponential form: To fill out numbers in exponential form, simply write the base number, followed by the exponent in superscript. Using the example, 5^3 would be written as "five to the power of three" or "5 raised to the third power."

Who needs numbers in exponential form:

01
Mathematicians: Numbers in exponential form are commonly used in mathematics to represent large or small quantities, such as in scientific notation or when dealing with exponential growth or decay.
02
Scientists: Scientists often work with very large or very small numbers, such as in calculations involving distance, time, or measurement in various scientific fields. Using exponential form can make these calculations more manageable.
03
Engineers: Engineers often encounter situations where they need to express quantities in a compact and concise manner, such as when dealing with electrical circuits, data storage, or complex calculations. Exponential form allows for easier representation and manipulation of these quantities.
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Financial professionals: Exponential form is commonly used in finance, especially when dealing with compound interest, investment growth, or exponential growth of assets over time. This enables them to analyze and forecast financial outcomes more effectively.
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Students: Students studying various disciplines, including mathematics, sciences, engineering, and finance, may need to learn and use exponential form to solve problems and understand complex concepts in their respective fields.
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Numbers in exponential form are numbers written in the form of a number raised to a power.
Individuals or organizations dealing with very large or very small numbers often use exponential form to make calculations easier.
To fill out numbers in exponential form, you write the base number followed by the exponent, usually separated by a caret (^). For example, 10^3 represents 10 raised to the power of 3.
The purpose of using exponential form is to simplify numerical calculations, represent very large or very small numbers efficiently, and make it easier to work with complex mathematical expressions.
The base number and the exponent must be clearly reported when numbers are written in exponential form.
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