Solve the Multiplication Problem: 18×1×10 Step by Step

Multiplication Operations with Identity Element

18×1×10= ? 18\times1\times10=\text{ ?}

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Step-by-step video solution

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00:00 Solve the following problem
00:02 Let's solve the expression according to the order of operations, from left to right
00:05 This is the solution

Step-by-step written solution

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1

Understand the problem

18×1×10= ? 18\times1\times10=\text{ ?}

2

Step-by-step solution

According to the order of operations, we will solve the exercise from left to right since there is only multiplication in the exercise:

18×1=18 18\times1=18

18×10=180 18\times10=180

3

Final Answer

180 180

Key Points to Remember

Essential concepts to master this topic
  • Identity Property: Multiplying by 1 keeps the original number unchanged
  • Technique: Work left to right: 18×1=18 18 \times 1 = 18 , then 18×10=180 18 \times 10 = 180
  • Check: Verify by counting zeros: 18 becomes 180 when multiplied by 10 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of multiplying when seeing multiple numbers
    Don't calculate 18 + 1 + 10 = 29! The × symbol means multiplication, not addition. This gives completely wrong answers. Always follow the operation signs and multiply each step: 18 × 1 = 18, then 18 × 10 = 180.

Practice Quiz

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\( 0+0.2+0.6= \) ?

FAQ

Everything you need to know about this question

Why does multiplying by 1 not change the number?

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The number 1 is called the multiplicative identity because any number times 1 equals itself. Think of it as taking 1 group of 18, which is still just 18!

Do I have to solve from left to right?

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Yes! When you have only multiplication, work from left to right. This follows the order of operations and prevents confusion.

What's the fastest way to multiply by 10?

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Add one zero to the end of the number! So 18 × 10 = 180. This works because 10 has one zero, 100 has two zeros, and so on.

Can I multiply in a different order?

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Yes, because of the commutative property! You could do 1×18×10 1 \times 18 \times 10 or 10×18×1 10 \times 18 \times 1 and get the same answer: 180.

How do I check if 180 is correct?

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Use the reverse operation: divide 180 by 10 to get 18, then divide by 1 to get 18. Since you're back to the original number, your answer is right!

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