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Chapter 4: Problem 31

Write decimal notation. $$ \frac{376,193}{1,000,000} $$

Short Answer

Expert verified
0.376193

Step by step solution

01

Understand the fraction

The fraction given is \( \frac{376,193}{1,000,000} \). This means we need to divide 376,193 by 1,000,000.
02

Perform the division

To convert the fraction to decimal form, divide the numerator by the denominator. Perform the division: \( \frac{376,193}{1,000,000} = 0.376193 \)

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Key Concepts

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

Fraction to Decimal Conversion
Converting fractions to decimal notation is a common and useful skill in mathematics. A fraction consists of two parts: the numerator and the denominator. To convert a fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number). In our example, the fraction is \(\frac{376,193}{1,000,000}\). To find the decimal notation: \(\frac{376,193}{1,000,000} = 0.376193\). This tells us that 376,193 divided by 1,000,000 equals 0.376193 in decimal form. It is as simple as performing the division.
Division
Division is a fundamental mathematical operation that is essential for converting fractions to decimals. Division helps us understand how many times a number (the divisor) is contained within another number (the dividend). In our exercise: \[\frac{376,193}{1,000,000}\], we divide 376,193 by 1,000,000. When you perform this division, you find that 376,193 divided by 1,000,000 equals 0.376193. The result is a decimal. This decimal indicates that 376,193 is less than 1 million but gives a precise proportion of the two numbers.
Numerator and Denominator
Understanding the terms numerator and denominator is crucial for working with fractions. The numerator is the top number in a fraction and represents the number of parts we are considering. The denominator, the bottom number, tells us how many equal parts the whole is divided into. For example, in the fraction \(\frac{376,193}{1,000,000}\):
  • The numerator is 376,193. This is the number of parts we have.

  • The denominator is 1,000,000. This tells us that the whole is divided into 1,000,000 equal parts.
When we divide the numerator by the denominator, we are finding out what portion of the whole 376,193 parts represent out of 1,000,000 parts. This is how we convert the fraction into the decimal 0.376193.

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