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Chapter 5: Problem 158

Use a calculator to express the following rational numbers as decimals. a. \(\frac{197}{800}\) b. \(\frac{4539}{3125}\) c. \(\frac{7}{6250}\)

Short Answer

Expert verified
The decimal equivalents for the fractions are: a) \(\frac{197}{800}\) is 0.24625, b) \(\frac{4539}{3125}\) is 1.45248, c) \(\frac{7}{6250}\) is 0.00112.

Step by step solution

01

- Conversion of the first fraction

Using a calculator, divide the numerator 197 by the denominator 800 to express the fraction \(\frac{197}{800}\) in decimal form.
02

- Conversion of the second fraction

Next, divide the numerator 4539 by the denominator 3125, using the calculator to express the fraction \(\frac{4539}{3125}\) in decimal form.
03

- Conversion of the third fraction

Finally, divide the numerator 7 by the denominator 6250 with a calculator to express the fraction \(\frac{7}{6250}\) in decimal form.

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Most popular questions from this chapter

What is the common difference in an arithmetic sequence?

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{8}\), when \(a_{1}=12, r=\frac{1}{2}\).

Determine whether each sequence is arithmetic or geometric. Then find the next two terms. \(2,6,10,14, \ldots\)

Use the appropriate formula shown above to find \(2+4+6+8+\cdots+200\), the sum of the first 100 positive even integers.

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{7}\), when \(a_{1}=5, r=-2\).
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