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**Let's recall what we have learned about integers and its properties.**

**Integers:**

Integers are the set of positive and negative numbers and zero. It is nothing but a whole number with negative numbers.

**The properties of integers:**

The following are the properties associated while performing operations with integers:

**Closure****Associative****Distributive****Commutative****Identity.**

**The table below will make you understand all the properties of integers regarding the mathematical operations:**

Property | Addition | Subtraction | Multiplication | Division |

Associative | Yes | No | Yes | No |

Closure | Yes | Yes | Yes | No |

Commutative | Yes | No | Yes | No |

Identity | Yes | Yes | Yes | Yes |

Inverse | Yes | Yes | No | No |

**Now we will see application-oriented problems in this chapter using all the properties of integers.**