Algebraic Expressions Question
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Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.1, HSA-SSE.A.1b
- If v << c, v becomes almost zero and it cancels out, and only c is left.
- Looking at the factor √1-v2c2, if v << c, then v2c2 is close to zero, and so this factor is very close to being equal to one.
- Since v is in the denominator, if it is much smaller than c the entire denominator becomes close to zero, then this part of the expression is undefined and can be ignored.
- Because, if v << c, all parts of the expression with v can be ignored.