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Chapter 4: Problem 38

Write decimal notation. $$ 67 \frac{83}{100} $$

Short Answer

Expert verified
67.83

Step by step solution

01

Identifying the Components

Observe the mixed number provided: \(67 \frac{83}{100}\). This number has two parts: a whole number part (67) and a fractional part (\(\frac{83}{100}\)).
02

Converting the Fraction to Decimal

The next step is to convert the fraction \(\frac{83}{100}\) to its decimal form. We know that \(\frac{83}{100} = 0.83\).
03

Combining Whole Number and Decimal

Now combine the whole number part and the decimal part. The whole number is 67, and after adding the decimal part, it becomes 67.83.

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Key Concepts

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

mixed number
A mixed number is a combination of a whole number and a fraction. It looks like this: 67 \(\frac{83}{100}\). The whole number part is 67, and the fraction part is \(\frac{83}{100}\). Mixed numbers are often used in everyday life. For example, if you bake a cake and use 2\(\frac{1}{2}\) cups of flour, you have mixed a whole number (2 cups) with a fraction (half a cup).
fraction to decimal conversion
Converting a fraction to a decimal makes it easier to perform calculations. In our example, we have the fraction \(\frac{83}{100}\). To convert fractions like this, remember that the denominator (bottom number) of 100 tells us that we're dealing with hundredths. This means we move the decimal point two places to the left for the numerator (top number) of 83, giving us 0.83. Now you have a simpler way to work with the number.
combining whole number and decimal
Once you've converted the fraction to a decimal, it's time to combine it with the whole number. In our case, the whole number is 67, and the decimal part we got from the fraction \(\frac{83}{100}\) is 0.83. To combine them, just place the decimal part right after the whole number. So, 67 and 0.83 together make 67.83. This final number is the decimal notation equivalent of the mixed number 67 \(\frac{83}{100}\).

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Most popular questions from this chapter

The five largest oneday point gains in the Dow Jones Industrial Average are listed in the table below. Find the average of the five greatest point gains; round the answer to the nearest hundredth of a point. $$ \begin{array}{|c|c|} \hline \text { DATE } & \begin{array}{c} \text { DJIA HIGHEST } \\ \text { POINT GAINS } \end{array} \\ \hline 10 / 13 / 2008 & 936.42 \\ 10 / 28 / 2017 & 889.35 \\ 8 / 26 / 2017 & 619.07 \\ 11 / 13 / 2008 & 552.60 \\ 3 / 16 / 2000 & 499.19 \\ \hline \end{array} $$

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