Solve the Multiplication Equation: 1 × 4 = ?

Multiplication Identity with Basic Facts

1×4= 1\times4=

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Step-by-step video solution

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00:00 Solve
00:04 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

1×4= 1\times4=

2

Step-by-step solution

To solve the problem of multiplying 1×4 1 \times 4 , we will rely on the fundamental property of multiplication by one:

  • The multiplication property of 1 states that multiplying any number by 1 results in that same number.

Now, let us apply this property:

Step 1: Identify the numbers involved.
The numbers are 1 and 4.

Step 2: Apply the multiplication property of 1.
According to the property, 1×4=4 1 \times 4 = 4 .

Let's explain in terms of the choices:

  • Option 1 (40 40 ) is not correct as it results from multiplying by 10, not 1.
  • Option 2 (4 4 ) is correct because multiplying any number by 1 still gives the number itself.
  • Option 3 (10 10 ) seems to be a misunderstanding of adding 6 to the result.
  • Option 4 (1 1 ) is incorrect as it would suggest the result of multiplying 4 by 1 is still 1.

Therefore, the correct solution to the problem is 4 4 .

3

Final Answer

4

Key Points to Remember

Essential concepts to master this topic
  • Identity Property: Any number multiplied by 1 equals itself
  • Technique: Recognize 1×4=4 1 \times 4 = 4 using the identity rule
  • Check: Verify by counting: 1 group of 4 objects = 4 total ✓

Common Mistakes

Avoid these frequent errors
  • Confusing multiplication by 1 with addition
    Don't think 1×4=1+4=5 1 \times 4 = 1 + 4 = 5 ! This mixes up operations and gives wrong results. Always remember multiplication by 1 keeps the number unchanged: 1×4=4 1 \times 4 = 4 .

Practice Quiz

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\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why does multiplying by 1 give the same number?

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The identity property of multiplication says that 1 is the multiplicative identity. Think of it as having 1 group of something - you still have that same amount!

Is 1×4 1 \times 4 the same as 4×1 4 \times 1 ?

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Yes! The commutative property tells us that 1×4=4×1=4 1 \times 4 = 4 \times 1 = 4 . The order doesn't matter in multiplication.

How is this different from adding 1 + 4?

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Addition means combining amounts: 1 + 4 = 5. Multiplication means groups: 1×4 1 \times 4 means 1 group of 4, which is just 4.

What if I see a bigger number times 1?

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The same rule applies! Whether it's 1×100 1 \times 100 or 1×2,547 1 \times 2,547 , multiplying by 1 always gives the original number.

Why are the other answer choices wrong?

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40 would be 10 × 4, 10 seems random, and 1 ignores the 4 completely. Only 4 follows the multiplication identity property correctly.

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