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Chapter 4: Problem 28

Write decimal notation. $$ \frac{56,788}{100,000} $$

Short Answer

Expert verified
0.56788

Step by step solution

01

- Understand the Fraction

The fraction given is \(\frac{56,788}{100,000}\). The numerator is 56,788 and the denominator is 100,000.
02

- Identify the Place Value

The denominator 100,000 has five zeros, which corresponds to 5 decimal places.
03

- Convert to Decimal Notation

To convert the fraction to decimal notation, move the decimal point in the numerator 56,788 five places to the left. This gives us 0.56788.

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Key Concepts

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

fractions
A fraction represents a part of a whole. It consists of two numbers separated by a line or slash. The number above the line is called the numerator, and the number below the line is the denominator. Fractions can show how many parts of a certain size exist, such as \( \frac{1}{2} \) representing one out of two equal parts.
They are often used in everyday life, like dividing a pizza among friends or measuring ingredients in a recipe. Understanding fractions is essential for working with percentages, ratios, and many other mathematical concepts.
numerator and denominator
In a fraction, the numerator and denominator have specific roles.
The numerator indicates how many parts of the whole we are considering. The denominator shows into how many parts the whole is divided.
For example, in the fraction \( \frac{56,788}{100,000} \), the numerator is 56,788, meaning we have 56,788 parts. The denominator is 100,000, meaning the whole is divided into 100,000 parts. Hence, \( \frac{56,788}{100,000} \) represents 56,788 out of 100,000 equal parts.
place value
Place value is essential when converting fractions to decimal notation. Each digit in a number has a place value determined by its position. For instance, in the number 123.45, the 1 is in the hundreds place, the 2 is in the tens place, the 3 is in the ones place, the 4 in the tenths place, and the 5 is in the hundredths place.
In the case of the fraction \( \frac{56,788}{100,000} \), the denominator has five zeros, so we need to move the decimal point in the numerator five places to the left. This gives the decimal place value as 0.56788.
converting fractions to decimals
Converting fractions to decimals involves a straightforward process. Often, it can make numbers easier to understand and compare.
To convert a fraction like \( \frac{56,788}{100,000} \), follow these steps:
  • Identify the numerator and denominator. Here, the numerator is 56,788, and the denominator is 100,000.
  • Count the number of zeros in the denominator to determine the number of decimal places. Here, 100,000 has five zeros.
  • Move the decimal point in the numerator (56,788) five places to the left. If there are not enough digits, fill in with leading zeros.
  • The result is 0.56788.
This method ensures that you accurately convert the fraction to its decimal form.

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Most popular questions from this chapter

The Lanosga family's odometer reads 22,456.8 at the beginning of a trip. The family's online driving directions tell them that they will be driving \(234.7 \mathrm{mi}\). What will the odometer read at the end of the trip?

Subtract. $$ 34.07-30.7 $$

Add. $$ \begin{array}{r} 13.72 \\ 9.112 \\ 6542.7908 \\ +\quad 23.901 \\ \hline \end{array} $$

Global non-cash payments numbered 389.6 billion in 2014 . This number increased by 43.5 billion in \(2015 .\) What was the number of global non-cash payments in \(2015 ?\)

Add. $$ 39+1.007 $$
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