Solve the Triple Multiplication: 20×6×3 Step-by-Step

Q: Can I multiply the numbers in any order I want?

Yes! Multiplication is commutative and associative, so $ 20\times6\times3 $ equals $ 6\times3\times20 $ or $ 3\times20\times6 $. The answer is always 360.

Q: Why do I work from left to right?

When operations have the same priority (like all multiplication), we follow the standard convention of working left to right. This keeps everyone's work consistent and organized.

Q: What if I group the numbers differently?

You can! Try $ 20\times(6\times3) $ = $ 20\times18 $ = 360, or $ (20\times6)\times3 $ = $ 120\times3 $ = 360. All groupings give the same answer!

Q: How can I check my multiplication quickly?

Use estimation! Round to easier numbers: $ 20\times6\times3 $ ≈ $ 20\times6\times3 $ = 360. Your exact answer should be close to this estimate.

Q: What's the difference between 20×6×3 and 20+6+3?

Huge difference! $ 20\times6\times3 = 360 $ (multiplication), but $ 20+6+3 = 29 $ (addition). Always pay attention to the operation symbols (× vs +)!

Order of Operations with Multiple Multiplications

Solve the following exercise:

$20\times6\times3=\text{ ?}$

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Step-by-step video solution

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00:00 Solve

00:03 Let's solve according to the order of arithmetic operations, from left to right

00:08 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$20\times6\times3=\text{ ?}$

Step-by-step solution

According to the order of operations, we must solve the problem from left to right since the exercise involves only multiplication.

$20\times6=120$

Hence:

$120\times3=360$

Final Answer

$360$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply from left to right when only multiplication operations
Technique: First calculate $20\times6=120$ , then $120\times3=360$
Check: Verify by grouping differently: $20\times(6\times3)=20\times18=360$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all three numbers
Don't add 20+6+3 = 29! This completely changes the operation and gives a much smaller result. Always perform multiplication operations as specified, working left to right with consecutive multiplications.

Practice Quiz

Test your knowledge with interactive questions

$$ 94+12+6= $$

FAQ

Everything you need to know about this question

Can I multiply the numbers in any order I want?

Yes! Multiplication is commutative and associative, so $20\times6\times3$ equals $6\times3\times20$ or $3\times20\times6$ . The answer is always 360.

Why do I work from left to right?

When operations have the same priority (like all multiplication), we follow the standard convention of working left to right. This keeps everyone's work consistent and organized.

What if I group the numbers differently?

You can! Try $20\times(6\times3)$ = $20\times18$ = 360, or $(20\times6)\times3$ = $120\times3$ = 360. All groupings give the same answer!

How can I check my multiplication quickly?

Use estimation! Round to easier numbers: $20\times6\times3$ ≈ $20\times6\times3$ = 360. Your exact answer should be close to this estimate.

What's the difference between 20×6×3 and 20+6+3?

Huge difference! $20\times6\times3 = 360$ (multiplication), but $20+6+3 = 29$ (addition). Always pay attention to the operation symbols (× vs +)!

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