Opposite numbers — lesson. Mathematics CBSE, Class 7.

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Opposite numbers are two numbers whose distance from the origin of the coordinate axis (to zero) is the same but differ by a sign.

Numbers \(1\) and \(-1\) are opposite numbers because they are equidistant from zero (one box or one unit).
These numbers differ by a sign, with only one number to the right of zero (\(1\)) and the other to the left of zero (\(-1\)).

The opposite numbers for \(-2\) is \(2\); \(-3\) is \(3\); \(-4\) is \(4\) and so on.

The number opposite to zero is zero.

Do not confuse opposite numbers with inverse numbers.

The inverse of a number is called a fraction.

The inverse of

\frac{a}{b}

\frac{b}{a}

Example:

The inverse of number

\frac{2}{3}

\frac{3}{2}

You can also determine the inverse of a negative number:

The inverse part of - \frac{31}{10} is - \frac{10}{31}

To get an inverse number, swap the denominator of the part with the numerator, the sign remains the same.

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3. Opposite numbers

Theory: