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3 votes
What is the opposite and reciprocal of –1.8?

Ο -1.8, 9/5

Ο 1.8, -5/9

Ο 1.8, 8.1

Ο 1.8, 5/9

2 Answers

4 votes
The opposite number would be the same distance from zero on the number line in the opposite direction... -1.8 is 1.8 units from zero in the negative direction, so the opposite would be...

1.8 (in the positive direction)

The reciprocal refers to a fraction with the numerator and denominator flipped into the opposite position, so we need to convert to a fraction and then flip it.

-1.8 = -1 8/10 = -18/10 = -9/5 ... now flip it for the reciprocal

-9/5 turns into -5/9

So your answer is 1.8, -5/9
User Cozzbie
by
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4 votes
Given a number "x" its opposite is "-x"
Given a number "x" its reciprocal is "-1/x"

-1.8
opposite=-(-1.8)=1.8
reciprocal=1/(-1.8)=-1/1.8=-0.5555....=-5/9

Answer: 1.8 , -5/9
User Sunnyrjuneja
by
8.2k points

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