# Multiplication table

The multiplication table includes multiplication results for numbers from to .

The multiplication is a lot easier if you know the **multiplication table**.

The result of a multiplication of two numbers is called a** product**.

The numbers we multiply are called **the factors**.

The first factor is called the **multiplicand** and the second is called **multiplier**.

The multiplication of one-digit numbers is the easiest form of multiplication and must be learned using the *multiplication table* before moving on to more complex examples.

Now, we are going to look at multiplication of one-digit numbers with two-digit numbers.

Two-digit numbers are composed of numerals *ones* and *tens*.

For example, number we can write down like:

## Multiplication of natural numbers

We are going to start with an example of multiplication of number with :

We started by aligning the multiplier, number , with the number . Then we multiplied each digit of the multiplicand.

We wrote the “ones” digit of each product in the result. If the number has “tens” digit then it will be *carried* and added to the next product.

The process should look like this:

-> . Write number and carry the number .

-> . We adding carried number to number . The result is number .

-> The final result is number .

Now, we will move on to the __multiplication of two-digit numbers__.

Let’s take a look at the next example. We will multiply number with number :

First we multiplied the “ones” digit, number , with number using the method shown before. The result is number .

Now we multiply number with number . The result is number . Note that we shifted the result (355) one digit to the left, and a number is added at the end. The result is shifted because we multiplied the “tens” digit, number , with .

The process should look like this:

-> . Write number .

-> . Write number . Now we get number .

-> . Write number .

-> . Write number . Now we got the number , and it is shifted by one digit to the left.

That means that *the last digit is *.

-> Now we need to add number to and the result is number .