Solve 11x × 5 × 6: Multi-Factor Multiplication with Variables

Question

11x×5×6= 11x\times5\times6=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the commutative property and solve this multiplication first
00:10 We'll use long multiplication to solve the multiplication
00:14 0 multiplied by any number is always 0
00:25 And this is the solution to the question

Step-by-Step Solution

Let's look at the exercise, and we'll see that we have two "regular" numbers and one number with a variable.
Since this is a multiplication exercise, there's no problem multiplying a number with a variable by a number without a variable.

In fact, it's important to remember that a variable attached to a number represents multiplication itself, for example in this case: 11×x 11\times x
Therefore, we can use the distributive property to separate the variable, and come back to it later.
We'll solve the exercise from right to left since it's simpler this way.

5×6=30 5\times6=30

Now we'll get the exercise:

11x×30= 11x\times30=

We'll put aside the x and add it at the end of the exercise.

Solve the exercise in an organized way to make the solving process easier for ourselves.

It's important to maintain the correct order of solving, meaning first multiply the ones of the first number by the ones of the second number,
then the tens of the first number by the ones of the second number, and so on.

30×11=330 30\\\times11\\=330

Don't forget to add the variable at the end, and thus the answer will be:

330x 330x

Answer

330x 330x