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Chapter 4: Problem 2

Find decimal notation. \(\frac{9}{100}\)

Short Answer

Expert verified
0.09

Step by step solution

01

Understand the Fraction

The fraction given is \(\frac{9}{100}\). This fraction represents 9 parts out of 100.
02

Convert the Fraction to Decimal

To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number). So, perform the division \(9 \div 100\).
03

Perform the Division

Divide 9 by 100. This can be done by moving the decimal point of 9 two places to the left because 100 has two zeros. Hence, \(9 \div 100 = 0.09\).

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Key Concepts

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

Fractions
Fractions are a way to represent parts of a whole. They consist of a numerator (top number) and a denominator (bottom number). In the fraction \(\frac{9}{100}\), 9 is the numerator and 100 is the denominator. This means there are 9 parts out of a total of 100 parts. Understanding how fractions work is essential for converting them into other forms, like decimals. Fractions can be added, subtracted, multiplied, or divided, but in this context, we are focused on converting them to decimal notation.
Decimal Notation
Decimal notation is a way of expressing numbers using a decimal point. It is particularly useful for representing fractions and performing arithmetic operations more easily. For example, the fraction \(\frac{1}{2}\) is equal to 0.5 in decimal notation. To convert a fraction to decimal notation, we need to perform division of the numerator by the denominator. For fractions with denominators that are powers of 10 (like 10, 100, 1000), this process is straightforward. Move the decimal point to the left by as many places as there are zeros in the denominator. In our example, \(\frac{9}{100}\) converts to 0.09 since 100 has two zeros.
Division
Division is a fundamental mathematical operation that is crucial for converting fractions to decimals. When dividing the numerator by the denominator, you are essentially determining how many times the denominator fits into the numerator. In the example given \((9 \div 100)\), we are dividing 9 by 100. Dividing by 100 is handy because it involves moving the decimal point. Here, we move the decimal two places to the left, turning 9 into 0.09. Mastering division, especially with powers of 10, can simplify many math problems involving fractions and decimals.

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Most popular questions from this chapter

Estimate by rounding as directed. $$ \begin{aligned} &2.678-0.445\\\ &\text { nearest tenth } \end{aligned} $$

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