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What is the reciprocal of -2/3?

Answer 1

Jace Anderson

The reciprocal of -2/3 is -3/2.

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Answer 2

Nathan Axel

#-3/2#

The reciprocal means the multiplicative inverse of a number. The multiplicative inverse #n'# of a number #n# is a number that when multiplied to #n#, results to the multiplicative identity which is 1.

That is...

#n'*n = 1#

#-2/3x = 1#

#-2x = 3#

#x = -3/2#

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Answer 3

Genesis Allen

The Reciprocal of #-2/3# is #-3/2#.

Suppose #n# is a number. #:.# Reciprocal of that number is #1/n#.

#:.# Reciprocal of #-2/3# #=1/((-2/3))# #=-3/2#. (answer).

Information : The product of a number and its reciprocal is always equal to 1.

#:.# # -2/3 xx-3/2 = 1#.

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Answer 4

Genesis Allen

#-3/2#

Remember:

Reciprocal of a number #color(green)(x/y# is #color(brown)(y/x#

So, The reciprocal of #color(green)(-2/3# is #color(brown)(-3/2#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.