Calculate the Decimal Product: 0.01 × 55.31 Step-by-Step

Q: Why do I multiply by 1 instead of 0.01?

Great observation! We multiply $ 55.31 \times 1 = 55.31 $ first, then move the decimal point 2 places left because 0.01 has 2 decimal places. This avoids messy calculations!

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

When multiplying by a decimal smaller than 1 (like 0.01), your answer gets smaller, so the decimal moves left. The number of places equals the decimal places in the small number.

Q: What if I get confused about decimal place counting?

Write it out clearly: 0.01 has 2 decimal places, 55.31 has 2 decimal places. Total = 4 decimal places in the product. Count carefully on your fingers if needed!

Q: Can I use a different method to solve this?

Yes! You could also think: $ 0.01 = \frac{1}{100} $, so $ 0.01 \times 55.31 = \frac{55.31}{100} = 0.5531 $. Both methods give the same answer!

Q: How can I check if 0.5531 is reasonable?

Use estimation! $ 0.01 \times 55 \approx 0.55 $. Since 0.5531 is very close to 0.55, our answer makes sense. Always do a quick mental check!

Decimal Multiplication with Place Value Positioning

$0.01\times55.31=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Place the decimal point

00:03 Convert decimal number to fraction

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

00:17 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

$0.01\times55.31=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Multiply the numbers as if they were whole numbers.
Step 2: Count the total number of decimal places in both the numbers and place the decimal point in the product accordingly.

Now, let's work through each step:
Step 1: Multiply $55.31$ by $1$ , which gives $55.31$ .
Step 2: Since $0.01$ has 2 decimal places, moving the decimal place in $55.31$ two places to the left gives us $0.5531$ .

Therefore, the solution to the problem is $0.5531$ , which corresponds to choice $3$ .

Final Answer

$0.5531$

Key Points to Remember

Essential concepts to master this topic

Rule: Total decimal places in factors equals decimal places in product
Technique: Move decimal point 2 places left since 0.01 has 2 decimal places
Check: Verify $0.5531 \times 100 = 55.31$ matches original number ✓

Common Mistakes

Avoid these frequent errors

Miscounting decimal places when positioning the decimal point
Don't just count decimal places in one number = wrong decimal placement! This leads to answers that are 10 or 100 times too big or small. Always count total decimal places from both numbers combined.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 4.35 =$

FAQ

Everything you need to know about this question

Why do I multiply by 1 instead of 0.01?

Great observation! We multiply $55.31 \times 1 = 55.31$ first, then move the decimal point 2 places left because 0.01 has 2 decimal places. This avoids messy calculations!

How do I remember which way to move the decimal point?

When multiplying by a decimal smaller than 1 (like 0.01), your answer gets smaller, so the decimal moves left. The number of places equals the decimal places in the small number.

What if I get confused about decimal place counting?

Write it out clearly: 0.01 has 2 decimal places, 55.31 has 2 decimal places. Total = 4 decimal places in the product. Count carefully on your fingers if needed!

Can I use a different method to solve this?

Yes! You could also think: $0.01 = \frac{1}{100}$ , so $0.01 \times 55.31 = \frac{55.31}{100} = 0.5531$ . Both methods give the same answer!

How can I check if 0.5531 is reasonable?

Use estimation! $0.01 \times 55 \approx 0.55$ . Since 0.5531 is very close to 0.55, our answer makes sense. Always do a quick mental check!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime