(KS3, Year 8)
The LessonThe reciprocal of a quantity is the result of dividing 1 by that quantity.
Dictionary DefinitionThe Oxford English Dictionary defines a reciprocal as "based on an inverse relationship."
Real Examples of ReciprocalsThe reciprocal can't be found for numbers, letters and more complicated quantities, like terms and expressions.
|Type of Quantity||Quantity||Reciprocal|
Lesson SlidesThe slider below shows more real examples of reciprocals. Open the slider in a new tab
Reciprocals of FractionsTo find the reciprocal of a fraction, 1 is divided by the fraction. Dividing 1 by a fraction turns the fraction upside down.
Read more about how to find the reciprocal of a fraction
Exponent Notation For a ReciprocalsTo denote the reciprocal of a quantity, place −1 to the top-right of the quantity. This is an exponent of −1.
Read more about exponents of −1
Multiplying a Quantity With Its Reciprocal Equals 1Multiplying a quantity with its reciprocal equals 1.
Be Careful With NotationSometimes brackets are needed to indicate which part of a term is a reciprocal. For example,
is different from
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