Multiply Decimals: Solving 0.01 × 4.8 Step-by-Step

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

When multiplying decimals, you add the decimal places from each factor. Think of it like this: $ 0.01 $ means 'hundredths' and $ 4.8 $ means 'tenths', so the result is in 'thousandths'!

Q: Can I just multiply 0.01 × 4.8 directly without removing decimals?

Yes, but it's much easier to multiply $ 1 \times 48 = 48 $ first, then place the decimal point. This avoids confusing decimal arithmetic and reduces calculation errors.

Q: What if I get confused about where to put the decimal point?

Count carefully! $ 0.01 $ has 2 decimal places, $ 4.8 $ has 1 decimal place. Total = 3 places. So 48 becomes 0.048 (count 3 places from the right).

Q: Why isn't the answer 0.48?

That would only be correct if we had 2 total decimal places, but we actually have 3! $ 0.01 $ contributes 2 places and $ 4.8 $ contributes 1 place, making 0.048 the correct answer.

Q: How can I check if 0.048 is reasonable?

Think logically: $ 0.01 $ means 'one hundredth' of something. One hundredth of 4.8 should be much smaller than 4.8, so 0.048 makes sense while 0.48 would be too big!

Decimal Multiplication with Place Value Counting

$0.01\times4.8=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Place the decimal point

00:03 Convert from decimal to fraction

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

00:21 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

$0.01\times4.8=$

Step-by-step solution

To solve this problem, we'll multiply the decimal numbers $0.01$ and $4.8$ .

Here's how we can approach this:

Step 1: Identify the number of decimal places.
- $0.01$ has two decimal places.
- $4.8$ has one decimal place.
- Total decimal places in the product will be $2 + 1 = 3$ .
Step 2: Multiply the numbers as whole numbers, ignoring the decimal point.
Multiply $1$ (from $0.01$ ) by $48$ (from $4.8$ ): $1 \times 48 = 48$ .
Step 3: Place the decimal point in the product.
Given that there are three decimal places in total, the product $48$ becomes $0.048$ .

Therefore, the solution to the problem is $0.048$ .

Final Answer

$0.048$

Key Points to Remember

Essential concepts to master this topic

Decimal Places: Count total decimal places in both factors
Technique: Multiply 1 × 48 = 48, then place 3 decimal places
Check: $0.01 \times 4.8 = 0.048$ has correct decimal placement ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point incorrectly
Don't just count decimal places from one factor = wrong placement! This gives 0.48 instead of 0.048. Always add decimal places from both factors: 0.01 (2 places) + 4.8 (1 place) = 3 total places.

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 decimal places from each factor. Think of it like this: $0.01$ means 'hundredths' and $4.8$ means 'tenths', so the result is in 'thousandths'!

Can I just multiply 0.01 × 4.8 directly without removing decimals?

Yes, but it's much easier to multiply $1 \times 48 = 48$ first, then place the decimal point. This avoids confusing decimal arithmetic and reduces calculation errors.

What if I get confused about where to put the decimal point?

Count carefully! $0.01$ has 2 decimal places, $4.8$ has 1 decimal place. Total = 3 places. So 48 becomes 0.048 (count 3 places from the right).

Why isn't the answer 0.48?

That would only be correct if we had 2 total decimal places, but we actually have 3! $0.01$ contributes 2 places and $4.8$ contributes 1 place, making 0.048 the correct answer.

How can I check if 0.048 is reasonable?

Think logically: $0.01$ means 'one hundredth' of something. One hundredth of 4.8 should be much smaller than 4.8, so 0.048 makes sense while 0.48 would be too big!

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