Final answer:
The branching neuron fiber structures that receive impulses from other neurons are called dendrites. They are thin and branch-like and play a crucial role in transmitting signals to the neuron's cell body.
Step-by-step explanation:
The branching neuron fiber structures that receive neural impulses from other neurons and convey them to the cell body are called dendrites. These thin structures extend from the neuron's cell body, resembling a tree with its many branches. A single neuron may possess multiple dendrites, each with the potential to branch out extensively and form a complex dendritic tree.
The branches of a dendrite can receive nerve impulses from the axon terminals of other neurons at junctions known as synapses. Information is then transmitted from the dendrites towards the cell body, or soma, which contains the nucleus and other organelles vital for the neuron's function.