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Chapter 4: Problem 26

Write decimal notation. $$ \frac{92}{100} $$

Short Answer

Expert verified
0.92

Step by step solution

01

Understand the Fraction

We start with the fraction \(\frac{92}{100}\). This fraction needs to be written in decimal notation.
02

Divide the Numerator by the Denominator

To convert a fraction to a decimal, divide the numerator (92) by the denominator (100). So, \(\frac{92}{100} = 92 \div 100\).
03

Perform the Division

Divide 92 by 100. When you divide 92 by 100, move the decimal point two places to the left because you are dividing by 100. This gives you 0.92.

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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 a fraction to a decimal is a key mathematical skill. To convert the fraction \(\frac{92}{100}\), start by understanding that a fraction represents division. The numerator (top number) is what's being divided, and the denominator (bottom number) is what we divide by. In this case, 92 is divided by 100. This means \(\frac{92}{100}\) is equivalent to 92 divided by 100, which we can write as \(92 \div 100\). The result of this division gives us the decimal form of the fraction, which is 0.92.
division
Division is a fundamental arithmetic operation used to find out how many times one number is contained within another. When we convert a fraction to a decimal, we use division to do this conversion. Let's take the fraction \(\frac{92}{100}\), and perform the division, \(92 \div 100\). One useful trick for dividing by a power of 10 like 100 is to move the decimal point. Since 100 has two zeros, move the decimal point in 92 two places to the left. This means:
  • 92 becomes 0.92 when divided by 100.
By performing this division, we get the decimal notation, which makes it easier to understand and work with in various situations.
place value
Place value is an important concept when working with decimals. Understanding place value helps us know the value of each digit in a number. In the decimal number 0.92:
  • The digit 9 is in the tenths place, meaning it represents nine-tenths or 0.9.
  • The digit 2 is in the hundredths place, meaning it represents two-hundredths or 0.02.
So, 0.92 is made up of 0.9 (nine-tenths) + 0.02 (two-hundredths) for a total value of 0.92. Recognizing these place values makes it easier to understand and work with decimal numbers in arithmetic operations.

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Most popular questions from this chapter

Lot A measures \(250.1 \mathrm{ft}\) by \(302.7 \mathrm{ft}\). Lot B measures \(389.4 \mathrm{ft}\) by \(566.2 \mathrm{ft}\). What is the total area of the two lots?

Subtract. $$ 3.801-2.81 $$

Add. $$ 17+3.24+0.256+0.3689 $$

Subtract. $$ \begin{array}{r} 92.341 \\ -\quad 6.42 \\ \hline \end{array} $$

Estimate. Indicate which of the choices is an appropriate estimate. \(78 \times 5.3\) a) 400 b) 800 c) 40 d) 8
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