Decimal Multiplication: Placing the Decimal Point in 0.10 × 0.10 = 001

Decimal Multiplication with Place Value Counting

Given the following exercise, find the correct place of the decimal point:

0.10×0.10=001 0.10\times0.10=001

❤️ 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 Solve
00:03 Convert decimal numbers to fractions
00:07 Write the number as a whole number in the numerator, and a multiple of 10 in the denominator
00:10 Add zeros to the denominator according to the number of digits after the decimal point:
00:14 Move to the second factor, use the same method
00:20 Make sure to multiply numerator by numerator and denominator by denominator
00:28 Calculate the multiplications
00:37 Now write the numerator as a whole number
00:40 For the zeros in the denominator, position the decimal point
00:50 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the following exercise, find the correct place of the decimal point:

0.10×0.10=001 0.10\times0.10=001

2

Step-by-step solution

To solve the problem of finding the correct place for the decimal point in the product 0.10×0.10 0.10 \times 0.10 , follow these steps:

  • Step 1: Identify the number of decimal places in each factor.
  • Step 2: Note that 0.10 0.10 has 2 decimal places, and 0.10 0.10 also has 2 decimal places.
  • Step 3: Add the decimal places from both factors: 2+2=4 2 + 2 = 4 .
  • Step 4: Calculate the product treating them as whole numbers: 10×10=100 10 \times 10 = 100 .
  • Step 5: Place the decimal point in the product so that it has a total of 4 decimal places, resulting in 0.0100 0.0100 .
  • Step 6: Simplify 0.0100 0.0100 by removing the redundant zeros to get 0.01 0.01 .

Therefore, the correct placement of the decimal point in the product 0.10×0.10 0.10 \times 0.10 is 0.01 0.01 .

3

Final Answer

0.01 0.01

Key Points to Remember

Essential concepts to master this topic
  • Rule: Count decimal places in both factors and add them together
  • Technique: Calculate 10 × 10 = 100, then place decimal for 4 total places
  • Check: Verify 0.10×0.10=0.01 0.10 \times 0.10 = 0.01 makes sense as one-hundredth ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to count decimal places correctly
    Don't just multiply the digits and guess where the decimal goes = wrong answer like 0.1 or 0.001! This ignores the fundamental rule of decimal multiplication. Always count decimal places in each factor (0.10 has 2 places each), add them (2 + 2 = 4), then place the decimal point exactly 4 places from the right.

Practice Quiz

Test your knowledge with interactive questions

\( 0.1 \times 0.008 = \)

FAQ

Everything you need to know about this question

Why does 0.10×0.10 0.10 \times 0.10 equal 0.01 0.01 and not 0.1 0.1 ?

+

Because you must count all decimal places! 0.10 0.10 has 2 decimal places (even with the zero), so 2 + 2 = 4 total places needed in the answer.

Do trailing zeros count as decimal places?

+

Yes! In 0.10 0.10 , both the 1 and the 0 after the decimal point count. Always count every digit after the decimal point, including zeros.

How do I remember to count decimal places correctly?

+

Use this 3-step method:

  • Circle the decimal points
  • Count digits to the right in each number
  • Add those counts together for your answer

What if I get extra zeros in my answer?

+

You can remove trailing zeros from the end! So 0.0100 0.0100 becomes 0.01 0.01 , but never remove zeros between the decimal point and other digits.

Can I just ignore the decimal points and multiply normally?

+

Almost! You can multiply 10 × 10 = 100 first, but then you must place the decimal point correctly by counting decimal places. Never skip this crucial step!

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations

Multiplication of Decimal Fractions

Solve: Locating the Decimal Point in 2.35 × 7.6 = 1786
Click to solve
Decimal Multiplication: Place the Decimal Point in 0.2 × 0.55 = 011
Click to solve