When is opposite reciprocal not true

In other words, the reciprocal has the original fraction's bottom number—or denominator —on top and the top number—or numerator —on the bottom. Below, you can see more reciprocals. Notice that the reciprocal of a number that's already a fraction is just a flipped fraction.

And because reciprocal means opposite , the reciprocal of a reciprocal fraction is a whole number. From looking at these tables, you might have already noticed a simpler way to determine the reciprocal of a whole number: Just write a fraction with 1 on top and the original number on the bottom.

Decimal numbers have reciprocals too! To find the reciprocal of a decimal number, change it to a fraction, then flip the fraction. Not sure how to convert a decimal number to a fraction? Check out our lesson on converting percentages, decimals, and fractions. If you've ever multiplied and divided fractions , the reciprocal might seem familiar to you.

If not, you can always check out our lesson on multiplying and dividing fractions. When you multiply two fractions, you multiply straight across. The numerators get multiplied, and the denominators get multiplied. In this format, equals the line's slope and represents where the line intercepts the y-axis.

Only one of the choices has a slope of. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

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Hanley Rd, Suite St. Louis, MO Subject optional. Email address: Your name:. Line 1: Line Possible Answers: The lines intersect and are perpendicular. The lines intersect only once because they are parallel. Correct answer: The lines intersect and are perpendicular. Report an Error. Possible Answers: The lines are perpendicular. There is not enough information to determine the answer. Correct answer: The lines are perpendicular.

Explanation : For lines to be perpendicular, the slopes need to be negative reciprocals of each other. Which of these lines is perpendicular to. Possible Answers:. Correct answer:. Explanation : Perpendicular lines have slopes that are negative reciprocals of each other. If you convert the given line to the form, you get which indicates a slope of.

Explanation : The line is a vertical line. Explanation : Perpendicular lines have slopes that are negative reciprocals of one another.

Which of the following lines could be perpendicular to the following:. Still Learning! For some basic information about writing math at this site see e. Show 1 more comment. Community Bot 1. Red Banana Red Banana 22k 17 17 gold badges 78 78 silver badges bronze badges.

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