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Chapter 6: Problem 18

Find decimal notation. $$ 0.4 \% $$

Short Answer

Expert verified
0.004

Step by step solution

01

- Understand the Percentage

A percentage represents a part of a whole divided by 100. So, 0.4% means 0.4 out of 100.
02

- Convert Percentage to Decimal

To convert a percentage to a decimal, divide by 100. Hence, we calculate 0.4 梅 100.
03

- Perform the Division

Dividing 0.4 by 100 gives us 0.004. Therefore, 0.4% in decimal notation is 0.004.

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Key Concepts

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

Decimal Notation
In mathematics, decimal notation is a system for representing numbers using powers of ten. It's a way to write fractions in a more readable and easily understandable form. For instance, the number 0.004 uses decimal notation.

Decimal notation is beneficial for calculations and comparisons because it simplifies the representation of numbers.

To understand the number 0.004 in decimal notation:
  • It has 3 decimal places.
  • The digit 4 is in the thousandths place.
  • It represents the fraction 4/1000.
Percentage
A percentage is a way to express a number as a fraction of 100. It is denoted using the percent sign (%). For example, 50% means 50 out of 100, or simply 50/100.

When dealing with percentages, you can visualize it as splitting something into 100 equal parts.

In our exercise, we have 0.4%, which means we are dealing with 0.4 parts out of 100. This shows a very small fraction of a whole. You can use percentages to easily compare and understand proportions.

Key points to remember about percentages:
  • 1% equals 1/100.
  • 100% represents a whole or a complete entity.
  • Percentages are useful in various real-life contexts such as finance, statistics, and more.
Division
Division is one of the four basic arithmetic operations, where you split a number into equal parts. The process of division helps us find how many times one number is contained within another.

In our exercise, to convert a percentage to a decimal, we divide by 100. This specific division helps in scaling down the percentage value to its decimal form.

Let's break down the division of 0.4 by 100 step-by-step:
  • 0.4 梅 100.
  • To divide by 100, move the decimal point two places to the left.
  • Thus, 0.4 becomes 0.004.

Remember, dividing by 100 is a common method for converting percentages to decimals.

Using division in mathematics aids in understanding and solving problems involving ratios, proportions, and percentages.

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Most popular questions from this chapter

Simplify: \(4^{3}-6^{2} \div 2^{2}\)

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