Calculate the Product: 0.01 × 3.5 Decimal Multiplication

Q: Why can't I just multiply 0.01 × 3.5 directly?

You absolutely can! But it's easier to remove the decimals first, multiply the whole numbers (1 × 35 = 35), then put the decimal back in the right spot using the counting rule.

Q: What if I get confused counting decimal places?

Try this trick: underline each decimal place as you count. In $ 0.01 $, underline the 0 and 1 after the decimal (2 places). In $ 3.5 $, underline just the 5 (1 place).

Q: How do I know where to put the decimal point?

Start from the right side of your whole number answer and count left the total number of decimal places. For 35 with 3 decimal places: 0.035

Q: What if my answer has extra zeros at the end?

Keep necessary zeros! In $ 0.035 $, the zeros are important because they show the exact place value. Don't write 0.35 - that's a different number entirely!

Decimal Multiplication with Place Value Counting

$0.01\times3.5=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Convert from decimal to fraction

00:09 There are 2 zeros in the denominator, so we'll move the decimal point twice:

00:19 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

$0.01\times3.5=$

Step-by-step solution

The task is to find the product of two decimal numbers: $0.01$ and $3.5$ . Follow these steps to compute the product:

Step 1: Remove the decimal points and multiply as if they are whole numbers. Multiplying $1$ by $35$ gives $35$ .
Step 2: Count the total number of decimal places in both decimal numbers. The number $0.01$ has 2 decimal places, and $3.5$ has 1 decimal place, for a total of 3 decimal places.
Step 3: Place the decimal point in the product so that the result has the same total number of decimal places counted in step 2. Thus, $35$ becomes $0.035$ .

Following these steps ensures the decimal point is positioned correctly, resulting in the product $0.035$ .

Therefore, the solution to the problem is $0.035$ .

Final Answer

$0.035$

Key Points to Remember

Essential concepts to master this topic

Rule: Count total decimal places in both numbers being multiplied
Technique: Multiply 1 × 35 = 35, then place 3 decimal places
Check: 0.01 × 3.5 has 3 decimal places: 0.035 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count decimal places correctly
Don't just multiply and guess where the decimal goes = wrong answer like 0.35 or 3.5! This ignores the place value rules and creates answers that are 10 times or 100 times off. Always count decimal places: 0.01 has 2 places, 3.5 has 1 place, so the answer needs exactly 3 decimal places.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 0.008 =$

FAQ

Everything you need to know about this question

Why can't I just multiply 0.01 × 3.5 directly?

You absolutely can! But it's easier to remove the decimals first, multiply the whole numbers (1 × 35 = 35), then put the decimal back in the right spot using the counting rule.

What if I get confused counting decimal places?

Try this trick: underline each decimal place as you count. In $0.01$ , underline the 0 and 1 after the decimal (2 places). In $3.5$ , underline just the 5 (1 place).

How do I know where to put the decimal point?

Start from the right side of your whole number answer and count left the total number of decimal places. For 35 with 3 decimal places: 0.035

What if my answer has extra zeros at the end?

Keep necessary zeros! In $0.035$ , the zeros are important because they show the exact place value. Don't write 0.35 - that's a different number entirely!

Can I use a calculator to check my work?

Yes! Using a calculator is a great way to verify your decimal multiplication. Just make sure you understand the counting method so you can solve these without a calculator too.

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