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

Question

Solve the following problem:

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

Upon observing the exercise note that we have two "regular" numbers and one number with a variable.
Given that this is a multiplication exercise, multiplying a number with a variable by a number without a variable doesn't present a problem.

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 apply the distributive property to separate the variable, and come back to it later.
Proceed to solve the exercise from right to left since it's simpler this way.

5×6=30 5\times6=30

We obtain the following:

11x×30= 11x\times30=

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

By solving the exercise in an organized way we simplify the solution process.

It's important to maintain the correct order when solving the problem, 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. The answer is as follows:

330x 330x

Answer

330x 330x