Solve Decimal Multiplication: 0.01 × 0.300 Step-by-Step

Q: Why do I add the decimal places together?

When you multiply decimals, you're multiplying fractions! $ 0.01 = \frac{1}{100} $ and $ 0.300 = \frac{300}{1000} $. The product has a denominator that combines both: 100,000, which needs 5 decimal places.

Q: Can I ignore trailing zeros in 0.300?

Never ignore them when counting decimal places! Even though 0.300 equals 0.3, you must count all 3 decimal places for multiplication. The trailing zeros affect your final answer placement.

Q: What if I get 0.00300 as my answer?

That's correct! You can simplify by dropping trailing zeros to write $ 0.003 $, but the value is the same. Both forms are mathematically equivalent.

Q: How do I multiply the whole numbers 1 × 300?

Just multiply normally: 1 × 300 = 300. Ignore the decimal points completely at this step. You'll add the decimal point back in the final step using your decimal place count.

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

Add leading zeros after the decimal point! For 300 with 5 decimal places, you get 0.00300. The zeros are essential for correct place value positioning.

Decimal Multiplication with Place Value Counting

$0.01\times0.300=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's learn how to solve this problem.

00:19 We'll turn a decimal number into a fraction.

00:25 If there are two zeros in the denominator, we'll add two zeros to it.

00:30 And that's how we find the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.01\times0.300=$

Step-by-step solution

To solve this problem, we'll use the following steps:

Step 1: Multiply the numbers as if they were whole numbers.
Step 2: Count the number of decimal places in the original numbers.
Step 3: Position the decimal point in the product accordingly.

Let's go through each step in detail:
Step 1: Multiply $1 \times 300 = 300$ .
Step 2: Count the decimal places: $0.01$ has 2 decimal places and $0.300$ has 3 decimal places, making a total of 5 decimal places.
Step 3: Place the decimal point in the result 300, counting 5 places from the right: $0.00300$ (we can drop the trailing zeros to write it as $0.003$ ).

Therefore, the solution to the problem is $0.003$ .

Final Answer

$0.003$

Key Points to Remember

Essential concepts to master this topic

Rule: Total decimal places equals sum of decimal places in factors
Technique: Multiply 1 × 300 = 300, then count 2+3=5 places from right
Check: 0.01 means 1/100, so 1/100 × 300/1000 = 300/100000 = 0.003 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count all decimal places
Don't just count 2 places from 0.01 and ignore the 3 places from 0.300 = wrong answer 0.03! This skips half the decimal places needed. Always add ALL decimal places from both numbers 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 together?

When you multiply decimals, you're multiplying fractions! $0.01 = \frac{1}{100}$ and $0.300 = \frac{300}{1000}$ . The product has a denominator that combines both: 100,000, which needs 5 decimal places.

Can I ignore trailing zeros in 0.300?

Never ignore them when counting decimal places! Even though 0.300 equals 0.3, you must count all 3 decimal places for multiplication. The trailing zeros affect your final answer placement.

What if I get 0.00300 as my answer?

That's correct! You can simplify by dropping trailing zeros to write $0.003$ , but the value is the same. Both forms are mathematically equivalent.

How do I multiply the whole numbers 1 × 300?

Just multiply normally: 1 × 300 = 300. Ignore the decimal points completely at this step. You'll add the decimal point back in the final step using your decimal place count.

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

Add leading zeros after the decimal point! For 300 with 5 decimal places, you get 0.00300. The zeros are essential for correct place value positioning.

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