Solve the Multiplication Problem: 1×1000 = ?

Identity Property with Large Whole Numbers

1×1000= 1\times1000=

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Step-by-step video solution

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00:00 Solve
00:03 Any number multiplied by 1 is always equal to itself
00:07 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

1×1000= 1\times1000=

2

Step-by-step solution

To solve this problem, we need to multiply 1 1 by 1000 1000 . According to the identity property of multiplication, any number multiplied by 1 1 remains unchanged.

Let's apply this principle:

1×1000=1000 1 \times 1000 = 1000

This property informs us that the product of 1×1000 1 \times 1000 is simply the number 1000 1000 .

Therefore, the solution to the problem is 1000 1000 .

Checking the possible answer choices, we find that choice 1000 1000 is the correct answer.

3

Final Answer

1000

Key Points to Remember

Essential concepts to master this topic
  • Identity Rule: Any number multiplied by 1 equals itself unchanged
  • Technique: Recognize 1×1000=1000 1 \times 1000 = 1000 using identity property
  • Check: Verify that 1×1000 1 \times 1000 gives 1000, not 1 or 0 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing identity property with other operations
    Don't think 1 × 1000 = 1 or 1 × 1000 = 0! This confuses multiplication with other operations or zero properties. Always remember: multiplying by 1 keeps the original number unchanged.

Practice Quiz

Test your knowledge with interactive questions

\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why doesn't 1 × 1000 equal 1?

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Because the identity property of multiplication says any number times 1 equals that same number! So 1×1000=1000 1 \times 1000 = 1000 , not 1.

Is this the same as 1000 × 1?

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Yes! Multiplication is commutative, which means 1×1000=1000×1=1000 1 \times 1000 = 1000 \times 1 = 1000 . The order doesn't matter.

What if it was 0 × 1000 instead?

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Then the answer would be 0! The zero property says any number times 0 equals 0. But here we have 1 times 1000, which equals 1000.

Does this work with any number times 1?

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Absolutely! Whether it's 5×1 5 \times 1 , 247×1 247 \times 1 , or 1×99 1 \times 99 , the answer is always the non-1 number.

How can I remember this rule?

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Think of 1 as the "do nothing" number for multiplication. Just like adding 0 doesn't change a number, multiplying by 1 doesn't change it either!

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