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Chapter 4: Problem 34

Write decimal notation. $$ 9243 \frac{1}{10} $$

Short Answer

Expert verified
9243.1

Step by step solution

01

Identify the Whole Number

The whole number portion of the mixed number is 9243.
02

Convert the Fraction to Decimal

The fractional part of the mixed number is \( \frac{1}{10} \), which is equivalent to 0.1 in decimal notation.
03

Combine the Whole Number and Decimal

Combine the whole number 9243 with the decimal part 0.1 to get the final decimal notation: 9243.1.

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Key Concepts

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

mixed numbers
A mixed number is a combination of a whole number and a fraction. It is used to represent a value that is greater than a whole number but not complete enough to be expressed as just an integer. For example, in the number 9243.1, 9243 is the whole number part, and 0.1 is the fraction part. Understanding mixed numbers helps us simplify large values and fractions into more understandable and practical forms. Mixed numbers are common in everyday measurements, such as recipes or distances.
whole numbers
Whole numbers are numbers without fractions or decimals, and they are non-negative integers. These include 0, 1, 2, 3, and so on. In the example 9243.1, the whole number part is 9243. Whole numbers are fundamental in mathematics as they serve as building blocks for more complex numbers. They are used in counting, basic arithmetic, and many real-world applications like financial transactions or inventory counts. Whole numbers are easy to understand since they represent complete units without any fractional parts.
fraction to decimal conversion
To convert a fraction to a decimal, you divide the numerator (top number) by the denominator (bottom number). In our example, the fraction is \( \frac{1}{10} \). Dividing 1 by 10 gives 0.1. Therefore, \( \frac{1}{10} \) in decimal form is 0.1. This process is essential to understand as it allows us to switch between fractional and decimal notations with ease. It helps in performing operations such as addition, subtraction, and comparison of numbers more conveniently when fractions are involved.
mathematics education
Mathematics education is crucial for developing logical thinking and problem-solving skills. It encompasses teaching concepts from basic arithmetic to advanced topics. Understanding core concepts such as mixed numbers, whole numbers, and fraction to decimal conversions forms the foundation for more advanced mathematical studies. These early lessons are essential as they are applied in various practical fields including science, engineering, and economics. Quality math education focuses on clarity, ensuring that students grasp the basics and can apply them effectively in real-life situations.

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Most popular questions from this chapter

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