Solve Decimal Multiplication: 0.01 × 44.9 Step-by-Step

Q: Why do I add the decimal places instead of multiplying them?

When multiplying decimals, you add the number of decimal places from each factor. Think of it like this: $ 0.01 $ has 2 places, $ 44.9 $ has 1 place, so 2 + 1 = 3 places in your answer!

Q: Can I just ignore the decimals and add them back later?

Yes, that's exactly the right approach! Multiply $ 1 \times 449 = 449 $, then place the decimal point 3 positions from the right to get $ 0.449 $.

Q: What if my answer has fewer digits than decimal places needed?

Add leading zeros to the left! For example, if you need 4 decimal places but only have 3 digits, write it as 0.0123 instead of just 123.

Q: How can I check if 0.449 is reasonable?

Think about it: $ 0.01 $ means 'one hundredth,' so you're taking one hundredth of 44.9. Since $ 44.9 \div 100 = 0.449 $, this makes perfect sense!

Q: Why is 0.01 × 44.9 not equal to 0.44.9?

You can't just combine the numbers like that! Multiplication with decimals requires proper place value counting. The decimal point has a specific position based on the total number of decimal places in both factors.

Decimal Multiplication with Place Value

$0.01\times44.9=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Place the decimal point

00:04 Convert from decimal to fraction

00:12 There are 2 zeros in the denominator, so we'll move the point twice:

00:23 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

$0.01\times44.9=$

Step-by-step solution

To solve the problem of multiplying $0.01$ by $44.9$ , we follow these steps:

Step 1: Convert numbers to eliminate decimals. Multiply $1$ by $449$ (as $0.01 = \frac{1}{100}$ and $44.9 = \frac{449}{10}$ ).
Step 2: Perform the multiplication $1 \times 449$ , which equals $449$ .
Step 3: Adjust for decimal places. Since there are three decimal places combined in $0.01$ and $44.9$ (two from $0.01$ and one from $44.9$ ), the result $449$ should have three decimal places.

The correct placement of the decimal point gives us $0.449$ .

Therefore, the solution to the problem is $\mathbf{0.449}$ .

Final Answer

$0.449$

Key Points to Remember

Essential concepts to master this topic

Rule: Total decimal places in factors equals decimal places in product
Technique: Count places: 0.01 (2 places) + 44.9 (1 place) = 3 places total
Check: Verify 1 × 449 = 449, then place decimal: 0.449 ✓

Common Mistakes

Avoid these frequent errors

Counting decimal places incorrectly
Don't count only one number's decimal places or forget to add them together = wrong decimal placement! This puts the decimal in the wrong spot, making answers like 4.49 or 44.9. Always count ALL decimal places in BOTH numbers and add them together.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 0.008 =$

FAQ

Everything you need to know about this question

Why do I add the decimal places instead of multiplying them?

When multiplying decimals, you add the number of decimal places from each factor. Think of it like this: $0.01$ has 2 places, $44.9$ has 1 place, so 2 + 1 = 3 places in your answer!

Can I just ignore the decimals and add them back later?

Yes, that's exactly the right approach! Multiply $1 \times 449 = 449$ , then place the decimal point 3 positions from the right to get $0.449$ .

What if my answer has fewer digits than decimal places needed?

Add leading zeros to the left! For example, if you need 4 decimal places but only have 3 digits, write it as 0.0123 instead of just 123.

How can I check if 0.449 is reasonable?

Think about it: $0.01$ means 'one hundredth,' so you're taking one hundredth of 44.9. Since $44.9 \div 100 = 0.449$ , this makes perfect sense!

Why is 0.01 × 44.9 not equal to 0.44.9?

You can't just combine the numbers like that! Multiplication with decimals requires proper place value counting. The decimal point has a specific position based on the total number of decimal places in both factors.

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