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

Solve the following problem:

11x×5×6= 11x\times5\times6=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's solve this problem together.
00:10 First, we'll use the commutative property to rearrange the numbers.
00:17 Now, let's do long multiplication step by step.
00:21 Remember, zero times any number equals zero.
00:32 And that's how we find the answer!

Step-by-step written solution

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1

Understand the problem

Solve the following problem:

11x×5×6= 11x\times5\times6=

2

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

3

Final Answer

330x 330x

Practice Quiz

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\( 94+12+6= \)

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