# Multiplying Integers

Integers are multiplied in the same fashion as whole numbers, except that certain rules should be applied.

**That's why it is strongly recommended, that you read first Multiplying Whole Numbers!!!**

If you **multiply integers with different signs**, i.e. one is positive and another is negative, then multiply numbers ignoring minus and place minus in front of the result.

**Example 1.** Find `46 times (-21)`.

We find `46 times 21=966` and then place minus in front of result: `-966`.

So,** `46 times (-21)=-966` **.

Next example.

**Example 2.** Find `-35 times 21`.

We find `35 times 21=735` and then place minus in front of the result: `-735`.

So,** `-35 times 21=-735` .**

- If you
**multiply two positive numbers**, you're actually multiplying whole numbers. - If you
**multiply two negative numbers**, multiply numbers ignoring minuses, i.e. `color(green)(-a times (-b)=a times b)`.

**Example 3.** Find `23 times 51`.

`23 times 51=1173`.

Another example.

**Example 4.** Find `-48 times (-19)`.

`-48 times (-19)=48 times 19=912`.

So,** `-48 times (-19)=912` **.

Final example shows how to multiple more than two integers.

**Example 5.** Find `-4 times (-2) times (-15)`.

We do such problems step-by-step.

First find `-4 times (-2)`. `-4 times (-2)=4 times 2=8`.

Now we are left with `8 times (-15)`. `8 times (-15)=-8 times 15=-120`.

So,** `-4 times (-2) times (-15)=-120` .**

Now, it's your turn. Take pen and paper and solve following problems.

**Exercise 1**. Find `36 times (-21)`.

**Answer**: -756.

**Exercise 2**. Find `-57 times 60`.

**Answer**: -3420.

**Exercise 3**. Find `6 times 10`.

**Answer**: 60.

**Exercise 4**. Find `-5 times (-20)`.

**Answer**: 100.

**Exercise 5**. Find `5 times (-25) times (-15)`.

**Answer**: 1875.