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Chapter 10: Problem 17

Convert to decimal notation. $$ \frac{2}{5} $$

Short Answer

Expert verified
0.4

Step by step solution

01

Understand the Fraction

The given fraction is \( \frac{2}{5} \). This means we need to divide the numerator (2) by the denominator (5).
02

Perform the Division

Divide 2 by 5. This can be done by performing the division operation: \( 2 \, \text{divided by} \, 5 = 0.4 \).
03

Write the Result

The result of \( \frac{2}{5} \) in decimal notation is 0.4.

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Key Concepts

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

fraction to decimal
Converting fractions to decimals is an essential skill in basic mathematics. A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number). Essentially, the fraction \( \frac{2}{5} \) means we want to divide 2 by 5.
When converting a fraction to a decimal, you're performing a division operation. In this case, you'll calculate \( 2 \div 5= 0.4 \). It鈥檚 a straightforward operation but understanding each component is crucial.
Always ask yourself three important questions:
  • What is the numerator?
  • What is the denominator?
  • How do I divide the numerator by the denominator?
division
Division is one of the fundamental operations in mathematics. When you divide two numbers, you are determining how many times the denominator fits into the numerator. For the fraction \( \frac{2}{5}\), you need to calculate \( 2 \div 5 \).
Here鈥檚 a simple way to do it:
  • Place 2 inside the division bracket (as the dividend).
  • Place 5 outside the bracket (as the divisor).
  • Determine how many times 5 fits into 2 (it fits 0 times).
  • Add a decimal point and a zero, turning the 2 into 20. Determine how many times 5 fits into 20 (it fits 4 times).
  • The result is 0.4.
By understanding these steps, you can convert any fraction into a decimal.
basic mathematics
Basic mathematics is the foundation for more advanced concepts. Understanding fractions, decimals, and division forms the core of this foundation. Learning these concepts will help in everyday calculations and in more complex mathematical problems.
When dealing with fractions, here are some fundamental tips to remember:
  • Fractions represent parts of a whole.
  • Decimals are another way to represent fractions, using base 10.
  • Division is the operation used to convert fractions to decimals.
By mastering basic mathematics skills, such as converting fractions to decimals, you can tackle a variety of mathematical challenges with confidence.

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Most popular questions from this chapter

State the integers that correspond to each situation. Verkhoyansk, a river port in northeast Siberia, has the most extreme climate on the planet. Its average monthly winter temperature is \(58.5^{\circ} \mathrm{F}\) below zero, and its average monthly summer temperature is \(56.5^{\circ} \mathrm{F}\).

The tallest mountain in the world, when measured from base to peak, is Mauna Kea (White Mountain) in Hawaii. From its base \(19,684 \mathrm{ft}\) below sea level in the Hawaiian Trough, it rises \(33,480 \mathrm{ft}\). What is the elevation of the peak above sea level?

Subtract. $$ 6.04-1.1 $$

The lowest point in Africa is Lake Assal, which is \(512 \mathrm{ft}\) below sea level. The lowest point in South America is the Valdes Peninsula, which is \(131 \mathrm{ft}\) below sea level. How much lower is Lake Assal than the Valdes Peninsula?

Multiply. \(15 \cdot(-8)\)
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