# Radioactive dating worksheet with answers

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## Half-life and carbon dating

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Exponential decay intro. Exponential growth vs. Next lesson. Current time: Exponential growth and decay Modeling with exponential functions. Video transcript Let's do a couple of word problems dealing with exponential growth and decay.

So this first problem, suppose a radioactive substance decays at a rate of 3. What percent of the substance is left after 6 hours? So let's make a little table here, to just imagine what's going on. And then we'll try to come up with a formula for, in general, how much is left after n hours. So let's say hours that have passed by, and percentage left. So after 0 hours, what percent is left? After 1 hour, what's happened? It decays at a rate of 3. Or another way to think about it is 0.

Remember, if you take 1 minus 3. So each hour we're going to have So in hour 1, we're going to have Now, what happens in hour 2? Well, we're going to have We will have lost 3. So it'll be 0. I think you see where this is going, in general. So in the first hour, we have 0. In the zeroth hour, we have 0. We don't see it, but there's a 1 there, times In the second hour, 0.

So in general, in the nth hour-- let me do this in a nice bold color-- in the nth hour, we're going to have 0. And oftentimes you'll see it written this way. You have your initial amount times your common ratio, 0. This is how much you're going to have left after n hours. Well, now we can answer the question. After 6 hours how much are we going to have left?

Well, we're going to have times 0. And we could use a calculator to figure out what that is. Let's use our trusty calculator. So we have times 0. This is all in percentages. So it's Let's do another one of these. So we have, Nadia owns a chain of fast food restaurants that operated stores in So let's think about the same thing.

So let's say years after And let's talk about how many stores Nadia is operating, her fast food chain. So itself is 0 years after And she is operating stores. Then in , which is 1 year after , how many is she going to be operating? And you're going to see, the common ratio here is 1. Let me make that clear.

Well, this is just 1 times plus 0. That's 1. Then in , what's going on? You're going to multiply 1. I think you get the general gist. If, after n years after , it's going to be 1. It's going to be times 1. After 2 years, 1. So they're asking us, how many stores does the restaurant operate in ? Well, is 8 years after So here n is equal to 8. So let us substitute n is equal to 8. The answer to our question will be times 1. Let's get our calculator out and calculate it.

So we want to figure out times 1. She's going to be operating restaurants, and she'll be in the process of opening a few more. So if we round it down, she's going to be operating restaurants. But in under a decade, in only 8 years, she would have gotten her restaurant chain from to restaurants.

## Name. KOM. Date. Class. Review and Reinforce. Radioactive Dating. Understanding Main Ideas Then use a separate sheet of paper to answer the questions. Radiometric dating measures the decay of radioactive atoms to determine the age of a rock sample. It is founded on unprovable assumptions such as 1) there.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Science Physics Quantum Physics Nuclei. Mass defect and binding energy.

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## Homework Answers

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Exponential decay intro. Exponential growth vs. Next lesson. Current time:

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Following the somewhat serendipitous discovery of radioactivity by Becquerel, many prominent scientists began to investigate this new, intriguing phenomenon. During the beginning of the twentieth century, many radioactive substances were discovered, the properties of radiation were investigated and quantified, and a solid understanding of radiation and nuclear decay was developed. The spontaneous change of an unstable nuclide into another is radioactive decay. The unstable nuclide is called the parent nuclide ; the nuclide that results from the decay is known as the daughter nuclide. The daughter nuclide may be stable, or it may decay itself. The radiation produced during radioactive decay is such that the daughter nuclide lies closer to the band of stability than the parent nuclide, so the location of a nuclide relative to the band of stability can serve as a guide to the kind of decay it will undergo Figure 1. Although the radioactive decay of a nucleus is too small to see with the naked eye, we can indirectly view radioactive decay in an environment called a cloud chamber. Click here to learn about cloud chambers and to view an interesting Cloud Chamber Demonstration from the Jefferson Lab. We classify different types of radioactive decay by the radiation produced.

Technology has moved at a fast pace over the last decade. Work ranges over basic, applied and action research in diverse educational, workplace and community settings, often involving the development or use of state-of-the-art educational technologies and content.

Used class time to review for tomorrow's test. Remember to review your quizzes as well. Reviewed and graphed data from our Greenhouse Effect Lab. We also explored factors, implications and remedies to global warming.

## Forests Around Chernobyl Aren’t Decaying Properly

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## Half-life and carbon dating

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How to solve radiometric dating problems