We will learn about opposite numbers in this post. The two operations addition and subtraction are involved in the concept behind opposite numbers.

Let’s learn what are opposite numbers.

**Definition of Opposite Numbers**

A number is called the opposite number of a given number if their sum is zero. More precisely, m is called the opposite number of n if m+n=0. Note that m=-n.

Sometimes opposite numbers are called additive inverses.

From the definition, it is clear that -n is the opposite number (or additive inverse) of n and vice-versa. For example, as 1+(-1)=0 we say that -1 is the opposite number of 1. Similarly, 1 is called the opposite number of -1.

**Opposite integers definition**

Let n be an integer. Then the number -n is called the opposite integer of n as the sum n+(-n)=0. For example, -20 is the opposite integer of 20.

From the definition of opposite integer, we observe that the opposite of a positive integer is a negative integer and the opposite of a negative integer is a positive integer.

Examples of opposite integers: The opposite integer of 10 is -10 and the opposite integer of -10 is 10 as 10+(-10)=0.

**Examples of Opposite Numbers**

Opposite numbers examples: In the tables below we have provided numbers with their opposites.

**Opposites of Integers:**

Integer | Opposite Integer | Reason |

0 | 0 | 0+0=0 |

2 | -2 | 2+(-2)=0 |

-3 | 3 | -3+3=0 |

5 | -5 | 5+(-5)=0 |

7 | -7 | 7+(-7)=0 |

-7 | 7 | -7+7=0 |

10 | -10 | 10+(-10)=0 |

**Opposites of Fractions**:

Fraction | Opposite Fraction | Reason |

$\frac{1}{2}$ | $-\frac{1}{2}$ | $\frac{1}{2}+(-\frac{1}{2})=0$ |

$\frac{3}{4}$ | $-\frac{3}{4}$ | $\frac{3}{4}+(-\frac{3}{4})=0$ |

$\frac{1}{10}$ | $-\frac{1}{10}$ | $\frac{1}{10}+(-\frac{1}{10})=0$ |

$-\frac{2}{15}$ | $\frac{2}{15}$ | $-\frac{2}{15}+\frac{2}{15}=0$ |

**Opposites of Decimals:**

Decimal | Opposite Decimal | Reason |

0.1 | -0.1 | 0.1+(-0.1)=0 |

1.1 | -1.1 | 1.1+(-1.1)=0 |

-3.2 | 3.2 | -3.2+3.2=0 |

10.5 | -10.5 | 10.5+(-10.5)=0 |

**Properties of Opposite Numbers**

- The sum of a number and its opposite is zero.
- Numbers and their opposites have the same distance from 0 but they are located in the opposite direction on the number line. In other words, opposite numbers are symmetric about the origin on the number line.
- The opposite of a positive number is the negative of that number. Similarly, the opposite of a negative number is the positive of that number.
- A number and its opposite have the same absolute value. For example, -5 is the opposite of 5. Note that both 5 and -5 have the same absolute value 5 as |5|=|-5|=5.
- Every real number has a unique opposite number.
- The product of an integer (except 0) and its opposite is the negative of a perfect square. For example, 3×(-3)=-9 where 9 is a perfect square. The product of zero and its opposite number is equal to 0 itself.
- The division of a number (except 0) and its opposite is always -1. For example, 7/ (-7) = -1.

**Also Read:**

Factors of a Number: A number is called a factor of a number M if that number completely divides M. |

Even and Odd Numbers: If a number is divisible by 2, then it is called an even number. Otherwise, we call it an odd number. |

Divisors of Numbers: Divisors of a number N are those numbers that completely divide N without a remainder. |

Square Root: The square root of x=a^{2} is √a. |

**FAQs of Opposite Numbers**

**Q1. what are opposite numbers?**

Ans: The sum of opposite numbers is 0. So the opposite numbers are those numbers having the same distance from 0 on the number line. For example, -10 is the opposite number of 10 as both 10 and -10 have the same distance from 0.

**Q2. What is the opposite number of 15?**

Ans: The opposite number of 15 is -15.

**Q3. What is the opposite of 0?**

Ans: As 0+0=0, the number 0 itself is the opposite number of 0.

**Q4. What is the opposite of 2?**

Ans: -2 is the opposite number of 2.