/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 19 Find decimal notation. \(\frac... [FREE SOLUTION] | 91影视

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Chapter 4: Problem 19

Find decimal notation. \(\frac{1}{4}\)

Short Answer

Expert verified
0.25

Step by step solution

01

- Understand the Fraction

The fraction given is \(\frac{1}{4}\). This represents one part of a whole that is divided into four equal parts.
02

- Perform the Division

To convert the fraction \(\frac{1}{4}\) into decimal notation, divide 1 by 4. This means calculating 1 梅 4.
03

- Calculate the Division in Steps

1 divided by 4 is 0.25. You can verify this by performing the division step by step: 1. 4 goes into 1 zero times, so you write 0.2. Then, you add a decimal point and a zero to the right of the 1, making it 10.3. 4 goes into 10 two times (2 脳 4 = 8).4. Subtract 8 from 10, leaving 2. Add another zero to make it 20.5. 4 goes into 20 five times (5 脳 4 = 20) with no remainder.

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Key Concepts

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

fraction to decimal conversion
Understanding how to convert fractions to decimals is a fundamental skill in mathematics. A fraction represents a part of a whole, with the numerator indicating the number of parts taken and the denominator showing the total number of equal parts.
To convert a fraction to a decimal, you'll perform a simple division. This means you divide the numerator by the denominator. For example, to convert \(\frac{1}{4}\) to a decimal, you divide 1 by 4.
The process helps you represent the same quantity in a different form, making it easier to understand and work with in various contexts.
basic arithmetic operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. When converting a fraction to a decimal, the primary operation you use is division.
Let's look at the example of \(\frac{1}{4}\):
  • Division: You divide the numerator (1) by the denominator (4). This might sound simple, but being comfortable with long division is crucial, especially for more complex fractions.
Recognizing these operations and practicing regularly will help you become more confident and accurate in your calculations.
mathematical steps
Following precise mathematical steps ensures accuracy in converting fractions to decimals.
  • Step 1: Identify the fraction components. For \(\frac{1}{4}\), the numerator is 1, and the denominator is 4.
  • Step 2: Set up the division. Here, you'll perform 1 梅 4. Initially, 4 goes into 1 zero times. So, write 0 and place a decimal point, making it 0.2.
  • Step 3: Add a zero next to the 1, making it 10. Now, see how many times 4 fits into 10. The answer is 2, since 4 脳 2 = 8.
  • Step 4: Subtract 8 from 10, giving you 2. Bring down another zero, making it 20.
  • Step 5: Finally, determine how many times 4 fits into 20. The result is 5, as 4 脳 5 = 20. With no remainder, the division stops here, giving you a decimal of 0.25.
These steps make the process systematic, ensuring you鈥檙e accurate and clear with your conversions.

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Most popular questions from this chapter

Estimate. Indicate which of the choices is an appropriate estimate. \(0.0713 \div 1.94\) a) 3.5 b) 0.35 c) 0.035 d) 35

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Add. $$ 0.687+0.9 $$

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