Calculate Decimal Product: 0.01 × 0.101 Step-by-Step

Q: Why do I multiply 1 × 101 instead of 0.01 × 0.101?

It's much easier to multiply whole numbers! Remove the decimals, multiply normally, then put the decimal back in the right place by counting decimal places.

Q: How do I count decimal places correctly?

Count every digit after the decimal point. In 0.01, that's 2 places (the zeros count!). In 0.101, that's 3 places. Total: 2 + 3 = 5 places.

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

Add leading zeros! If you need 5 decimal places but only have 3 digits (101), write it as 0.00101 by adding zeros at the front.

Q: Can I use a calculator to check my work?

Absolutely! Type $ 0.01 \times 0.101 $ into your calculator. You should get 0.00101, which matches our step-by-step answer.

Q: Why is this method better than just multiplying the decimals directly?

Working with whole numbers reduces errors and makes the multiplication clearer. You only handle the decimal placement once at the end, instead of managing decimals throughout the calculation.

Decimal Multiplication with Place Value Counting

$0.01\times0.101=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:05 Convert decimal number to fraction

00:13 There are 2 zeros in the denominator, so we'll add 2 zeros

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

$0.01\times0.101=$

Step-by-step solution

To solve the multiplication of $0.01 \times 0.101$ , follow these steps:

Step 1: Consider both numbers without decimals as whole numbers. Here, interpret $0.01$ as $1$ and $0.101$ as $101$ .
Step 2: Multiply these whole numbers: $1 \times 101 = 101$ .
Step 3: Count the number of decimal places in each factor. For $0.01$ , there are 2 decimal places. For $0.101$ , there are 3 decimal places, totaling $2 + 3 = 5$ decimal places in the product.
Step 4: Insert a decimal point in the integer product of $101$ to give it 5 decimal places. Starting from the right of the number, move the decimal point 5 places to the left, yielding $0.00101$ .

Thus, the correct answer is $\mathbf{0.00101}$ , which corresponds to choice $\mathbf{3}$ .

Final Answer

$0.00101$

Key Points to Remember

Essential concepts to master this topic

Rule: Count total decimal places in both factors
Technique: Multiply 1 × 101 = 101, then place decimal
Check: 2 + 3 = 5 decimal places gives 0.00101 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count decimal places correctly
Don't just multiply decimals like whole numbers = wrong decimal placement! This puts the decimal in the wrong spot, making answers 10, 100, or 1000 times too big or small. Always count 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 multiply 1 × 101 instead of 0.01 × 0.101?

It's much easier to multiply whole numbers! Remove the decimals, multiply normally, then put the decimal back in the right place by counting decimal places.

How do I count decimal places correctly?

Count every digit after the decimal point. In 0.01, that's 2 places (the zeros count!). In 0.101, that's 3 places. Total: 2 + 3 = 5 places.

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

Add leading zeros! If you need 5 decimal places but only have 3 digits (101), write it as 0.00101 by adding zeros at the front.

Can I use a calculator to check my work?

Absolutely! Type $0.01 \times 0.101$ into your calculator. You should get 0.00101, which matches our step-by-step answer.

Why is this method better than just multiplying the decimals directly?

Working with whole numbers reduces errors and makes the multiplication clearer. You only handle the decimal placement once at the end, instead of managing decimals throughout the calculation.

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