A homogenous mixture is a mixture in which the individual parts cannot be seen. The composition throughout is constant. For example, in a stirred solution of salt water, the salt crystals cannot be seen and the mixture appears to be the same throughout. A heterogenous mixture is one in which the individual parts can be seen. The composition may vary throughout. For example, after a mixture of dirt and water is allowed to settle, the dirt clearly separates from the water and settles at the bottom. Oil and water is another example.
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The stems of these words, homo (same) and hetero (different) indicate what type of mixture they are describing.