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Binoculars Explained : Magnification
Binoculars are specified by a set of numbers such as 7×35 or 8×40 etc. The first number indicates the power of magnification or how much larger, or closer, the object will appear than when seen with normal vision. Generally, the range in magnification for hand-held binoculars is from 6 to 10 in power. In a binocular designation 7 x 35, for example, objects will appear 7 times larger, or closer, than when seen with the naked eye.

When considering magnification, more is not necessarily better. As magnification increases, brightness and clarity may diminish, depth of field can become shallower and the field of view is usually more restricted. More noticeable and disturbing at higher powers are fine hand tremors and the effects of atmospheric conditions, such as the distortion caused by heat waves.

If your observation is done primarily at close range, such as in woodland areas or in your backyard, then a good 8 power binocular (such as the Hawke Platinum) might be the best choice. This range of magnification generally gives you a larger picture (wider field of view) which is especially important for viewing objects relatively close at hand.
Magnification Chart