One eighth would be left.
Approx 1/8 will remain.
2/13 cannot be written as an improper fraction since [the absolute value of] its numerator is less than [the absolute value of] its denominator. It will remain a proper fraction.
The numerator of the improper fraction will be 2*8 + 3 = 19 and the denominator will remain the same as that for the fractional part of the mixed fraction. So the improper fraction is 19/8.
No. Remember that when you multiply the top (numerator) and the bottom (denominator) of a fraction by the same number, the value of the fraction will remain the same. So, if we take your fraction, 3/4, and multiply the top and bottom by two (we are really multiplying by 2/2, which equals 1), we get 6/8. Simple examination now tells you that 7/8 is greater than 6/8. This method is called "finding a common denominator", and is very useful.
Well, honey, in math, two negatives in a fraction do indeed equal a positive. It's like when you owe someone money, and then owe them more money - suddenly you're in the green! So yes, in the world of math, two negatives make a positive when you're dividing.
There will be 1/8 remaining.
Approx 1/8 will remain.
The remainder is 2-p or 0.5p of the original amount.
It disintegrates into its daughter nuclei that are much more stabler than the radioactive nuclei. If a sample of radioacictive material is left it will decay into another element over a period of time. Note that complete decay is not possible. A fraction of the original radioactive material will always remain in the sample.
Only 1/32 of the original radioactive material will remain. (½)5 = 1/32
The type of radiations remain the same during time for a specific isotope.
A radioactive material is radioactive. Period. The atoms of radioactive material have unstable nuclei. If you combine them with other material, the radioactive material will remain unaffected as regards its radioactivity. Recall that radioactivity is related to the instability of atomic nuclei, and the atomic structure of atomic nuclei are (in general) not involved in chemical bonding. Chemical bonding doesn't affect the stability of the nuclei of atoms. If they are unstable, they will remain so whether the atoms are alone or chemically combined with something else.
Ionizing radiation lasts for as long as the radioactive material emitting it remains radioactive. The duration can vary depending on the half-life of the specific radioactive isotope involved. Some isotopes may last seconds to minutes, while others can remain radioactive for thousands of years.
All radioactivity decays with time. Some fission products from uranium fission will remain active for thousands of years, others decay to insignificance within a few years.
After three half-lives, 12.5% of the original radioactive material will remain. Each half-life reduces the amount of material by half, so after three half-lives the remaining material will be 0.5^3 = 0.125 or 12.5%.
The halflife of a particular isotope simply tells how long it will remain dangerously radioactive. By storing the spent fuel rods on site much of the shorter lived more intense radiation will have decayed before moving it to a long term repository.
Not sure what you mean by "had-lives". After 3 half lives, approx 1/8 would remain.