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Chapter 6: Problem 31

Use a calculator to perform each division. \(2 \div 44\)

Short Answer

Expert verified
The result is approximately 0.045.

Step by step solution

01

Set Up the Division

We are tasked with dividing 2 by 44. In a division, 2 is the dividend (the number to be divided), and 44 is the divisor (the number to divide by). We write this as 2 梅 44.
02

Use a Calculator

Use any standard calculator. Enter the number 2, then the division symbol [梅 or /], and then enter 44. Press the equal sign [=] to get the result of the division.
03

Interpret the Result

The calculator should display a result of approximately 0.045454545. This is a repeating decimal, which can be rounded to make it simpler to read. Rounding it to three decimal places gives 0.045.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Calculator Usage
Using a calculator to perform division is a straightforward process that can save time and ensure accuracy. To divide 2 by 44 using a calculator, follow these simple steps:
  • First, clear any previous calculations by pressing the "Clear" or "AC" button.

  • Enter the dividend, which is 2 in this case.

  • Next, press the division key, typically shown as [梅] or [/].

  • Enter the divisor, which is 44.

  • Finally, press the equal sign button [=] to carry out the division.
The calculator will provide you with the result, which is the quotient of the division. Using a calculator minimizes human error, especially with complex numbers or when dealing with long decimal expansions.
Division Process
Understanding the division process is key to mastering arithmetic and algebra. Division is essentially distributing a number (dividend) by another number (divisor) to find how many times the divisor fits into the dividend. In our example, dividing 2 by 44 gives a quotient of approximately 0.045454545.
When doing long division by hand, you might follow these steps:
  • Set up the equation as 2 梅 44.
  • Determine how many times 44 can fit into 2. Since 44 is greater, the answer is below 1.
  • Solve this by considering the numbers after the decimal point.
  • Continue the process by adding zeros after the decimal place in the dividend and bringing them down one at a time.

  • Continue the division process until you reach a satisfactory level of accuracy or a repeating pattern.
Performing division with accuracy helps in many fields such as science, engineering, and economics.
Repeating Decimals
A repeating decimal is a decimal number that has digits that repeat endlessly. When you divide 2 by 44, the result is approximately 0.045454545... This number demonstrates a repeating pattern where the digits '45' continually repeat.
Identifying repeating decimals can be crucial for precision in mathematical calculations. Here are some key points:
  • A repeating decimal can be rounded to make it more manageable for calculations requiring a set number of decimal places, such as financial transactions.

  • Instead of displaying the whole sequence, it is represented with a bar over the repeating digits, like 0.045.

  • To convert repeating decimals to fractions, you use algebraic methods or recognize known fractions like 1/3 equals 0.333... repeating.
Having a solid understanding of repeating decimals is beneficial when performing mathematical operations with accuracy.

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Most popular questions from this chapter

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Write each decimal using digits. Nine and twelve-hundredths.
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