When a nucleus decays, we can write down an equation
that describes the decay. The mass number, and the atomic number must
balance in this equation.
Alpha decay
Alpha particles are helium nuclei, written

During
alpha decay, a part of the nucleus consisting of two protons and two
neutrons is emitted. The remaining fragment will be a different
element.
The equation describing the decay is

For example

The mass and atomic numbers balance on both sides of the equation:
241=237 +4 and 95=93+2.
Beta Decay
Beta particles,

are fast moving electrons emitted from the nucleus. The electron is
emitted when a neutron decays into a proton, resulting also in the
emission of a particle called an anti neutrino, labelled

An antineutrino has no charge and probably no mass, (we believe it
is massless). The full decay is given by the equation

for example
Gamma Ray Emission
When a gamma ray,

is
emitted, the element does not change. The gamma ray is emitted
because the nucleus is in an excited state. The gamma ray carries
away excess energy, leaving behind a more stable nucleus in a lower
energy state. The equation describing gamma ray emission is
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