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Chapter 4: Problem 82

Explain how to write a Hindu-Arabic numeral in expanded form.

Short Answer

Expert verified
To write a Hindu-Arabic numeral in expanded form, identify each digit's place value, multiply the digit by its place value, and then add those values together. For example, the Hindu-Arabic numeral 342 in expanded form is \(300 + 40 + 2\).

Step by step solution

01

Identify the digits and corresponding place value

Start by identifying each digit in the number and its corresponding place value. For instance, in the number 342, '3' is in the hundreds place, '4' is in the tens place, and '2' is in the ones place.
02

Multiply each digit by its place value

Each digit is then multiplied by its place value. So, '3' in hundreds place becomes \(3 \times 100\), '4' in the tens place becomes \(4 \times 10\), and '2' in the ones place becomes \(2 \times 1\).
03

Write the number in expanded form

Finally, write the number in expanded form by adding each part together. So, 342 in expanded form is \(300 + 40 + 2\). This is how a Hindu-Arabic numeral can be represented in expanded form.

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Most popular questions from this chapter

In Exercises 1-12, add in the indicated base. \(342_{\text {five }}\) \(+413_{\text {fivs }}$$\quad\)

In Exercises 13鈥�24, subtract in the indicated base. $$ \begin{array}{r} 32_{\text {seven }} \\ -16_{\text {seven }} \\ \hline \end{array} $$

Look at the back of a U.S. one dollar bill. What date is written in Roman numerals along the base of the pyramid with an eye? What is this date's significance?

In Exercises 1-12, add in the indicated base. $$ \begin{array}{r} 101_{\text {two }} \\ +\quad 11_{\text {two }} \\ \hline \end{array} $$

Make Sense? In Exercises 76-79, determine whether each statement makes sense or does not make sense, and explain your reasoning. In order to understand the early numeration systems presented in this section, it's important that I take the time to memorize the various symbols.
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