Solve Decimal Multiplication: 1.004 × 10 Step-by-Step

Q: Why does multiplying by 10 move the decimal point?

When you multiply by 10, you're making each digit ten times bigger. This pushes every digit one place to the left, which is the same as moving the decimal point one place to the right!

Q: What if there aren't enough zeros after the decimal?

No problem! In $ 1.004 \times 10 $, we move the decimal from after the 1 to after the first 0, giving us 10.04. The digits stay the same, just in new positions.

Q: How do I remember which way to move the decimal?

Multiplying by 10 makes numbers bigger, so the decimal moves right. Dividing by 10 makes numbers smaller, so the decimal moves left. Think: bigger = right!

Q: What happens when I multiply by 100 or 1000?

Move the decimal point one place for each zero! For 100 (two zeros), move right 2 places. For 1000 (three zeros), move right 3 places.

Q: Do I need to add or remove zeros?

Usually no! Just move the decimal point. In our example, $ 1.004 $ becomes $ 10.04 $ - same digits, new decimal position. Only add trailing zeros if needed for place value.

Decimal Multiplication with Powers of Ten

$1.004\times10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 According to the number of zeros, move the decimal point

00:08 Move the decimal point according to the number of zeros

00:16 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

$1.004\times10=$

Step-by-step solution

To solve this problem, we'll follow this straightforward approach:

Since we are multiplying by $10$ , we need to shift the decimal point in the number $1.004$ one place to the right.

Now, let's perform the calculation:

The number $1.004$ has a decimal point after the first digit, and when we shift the decimal one place to the right, it moves between $0$ and $0$ , resulting in $10.04$ .

Therefore, the product of $1.004$ multiplied by $10$ is $10.04$ .

Thus, the solution to the problem is $10.04$ .

Final Answer

$10.04$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 shifts decimal point one place right
Technique: Move decimal in 1.004 from after 1 to after first 0
Check: Count decimal places: 1.004 becomes 10.04, same digits ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal left when multiplying by 10 = 0.1004! This shrinks the number instead of making it bigger. Always move the decimal point to the RIGHT when multiplying by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

Why does multiplying by 10 move the decimal point?

When you multiply by 10, you're making each digit ten times bigger. This pushes every digit one place to the left, which is the same as moving the decimal point one place to the right!

What if there aren't enough zeros after the decimal?

No problem! In $1.004 \times 10$ , we move the decimal from after the 1 to after the first 0, giving us 10.04. The digits stay the same, just in new positions.

How do I remember which way to move the decimal?

Multiplying by 10 makes numbers bigger, so the decimal moves right. Dividing by 10 makes numbers smaller, so the decimal moves left. Think: bigger = right!

What happens when I multiply by 100 or 1000?

Move the decimal point one place for each zero! For 100 (two zeros), move right 2 places. For 1000 (three zeros), move right 3 places.

Do I need to add or remove zeros?

Usually no! Just move the decimal point. In our example, $1.004$ becomes $10.04$ - same digits, new decimal position. Only add trailing zeros if needed for place value.

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