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zhuklara [117]
3 years ago
11

Write the number 0.2 in the form a/b using integers to show that it is a rational number? Anybody know?

Mathematics
2 answers:
Ainat [17]3 years ago
7 0

Answer:

\frac{2}{10} or \frac{1}{5}

Step-by-step explanation:

we need to write the number 0.2 in the form of fraction a/b

0.2 can be written as \frac{0.2}{1}

We have one number 2 after the decimal point

To remove the decimal point , multiply both top and bottom by 2

\frac{0.2 \cdot 10}{1 \cdot 10}

\frac{2}{10} or \frac{1}{5}

adelina 88 [10]3 years ago
6 0
In fraction form, .2 can be written as 2/10 or 20/100 or 200/1000...and so on.  Doing the division on all of those fractions gives you a solution of .2
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cestrela7 [59]
The answer is 74,000 years.

It can be calculated using the equation:

<span><span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> <span> </span></span></span></span></span></span></span></span></span></span></span></span> <span> </span></span></span><span> </span></span> (1/2) ^{n} = decimal amount remaining, where n is a number of half-lives.

<span>Decimal amount remaining is 0.00012 (= 0.012%). Let's calculate number of half-lives.</span>

(1/2)^{n} =0.00012<span>
</span>

⇒ n*log(1/2)=log(0.00012)

⇒ n= \frac{log(0.00012)}{log(1/2)}= \frac{log(0.00012)}{log(0.5)}

⇒ n ≈ 13

<span>
Now we know that number of half-lives is 13.</span>

Number of half-lives is quotient of total time elapsed and length of half-life.<span>
<span>So, total time elapsed is a product of length of half-life (5,730 years) and number of half-lives (13). Since 5,730 years × 13 = 74,490 years, then the person died 74,000 years ago (rounded to the nearest thousand).</span></span>

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3 years ago
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Step-by-step explanation:

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Answer:

Here's what i know:

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Here we can use substitution to help find our answer:

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