Why are substances with shorter half-lives more radioactive?

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alara_rc
1.Explain why if a sample has a very short half-life, then it will be more radioactive than an element that has a longer half-life, any clues anyone?
 
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What is the half life ?
If you start with a 1000 atoms how many will decay in an hour if the element has a half-life of an hour?
How many if the element has a half life of 2 hours?
 

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