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Name:Date:Student Exploration: Modeling Whole Numbers and Decimals Vocabulary: base10 blocks, base10 system, decimal, decimal point, whole numberPrior Knowledge Questions (Do these BEFORE using the
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To fill out what is base ten, follow these steps:
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Understand the concept: Base ten, also known as the decimal system, is a numerical system that uses ten digits (0-9) to represent any number. Each digit's value depends on its position in the number.
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Start with the ones place: The rightmost digit represents the number of ones. For example, in the number 548, the digit 8 represents 8 ones.
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Move to the tens place: The digit to the left of the ones place represents the number of tens. In the number 548, the digit 4 represents 4 tens.
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Continue with the hundreds, thousands, and so on: The following digits represent increasing powers of ten. The digit in the hundreds place represents hundreds, the digit in the thousands place represents thousands, and so on.
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Multiply each digit by the corresponding power of ten: To find the total value of a number in base ten, multiply each digit by the appropriate power of ten according to its position and sum them up. For example, in the number 548, the 8 in the ones place corresponds to 8 * 10^0, the 4 in the tens place corresponds to 4 * 10^1, and the 5 in the hundreds place corresponds to 5 * 10^2.
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Sum up the results: Add up all the multiplications to get the final value for the number in base ten. In the case of 548, the calculation would be 8 * 10^0 + 4 * 10^1 + 5 * 10^2 = 8 + 40 + 500 = 548.

Who needs what is base ten?

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Anyone who wants to understand how numbers are represented in the decimal system and perform arithmetic operations using base ten.
02
Students learning the basics of mathematics, specifically place value and number systems.
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Professionals working in fields like finance, accounting, and data analysis that heavily rely on decimal numbers.
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Base ten, also known as the decimal system, is a numeral system that uses ten as its base. It consists of digits from 0 to 9, and each digit's position represents a power of ten.
Individuals and businesses that engage in financial transactions and are subject to taxation typically must use the base ten system for their accounting and reporting.
Filling out documents that utilize the base ten system involves writing out numerical values using digits from 0 to 9 according to standard accounting practices.
The purpose of the base ten system is to provide a standardized method for representing numbers, which facilitates calculations, comparisons, and financial reporting.
Information reported in the base ten system typically includes numerical data such as income, expenses, profits, and other financial metrics.
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