Solve: Find the Decimal Point in 3.751 × 0.5 = 18755

Q: Why do I multiply like whole numbers first?

Multiplying like whole numbers gives you the correct digits for your answer. The decimal placement rule then puts the decimal point in exactly the right spot!

Q: What if one number has no decimal point shown?

Numbers like 5 actually have zero decimal places (same as 5.0). Only count the decimal places you can actually see in the problem.

Q: How do I remember which way to count decimal places?

Always count from the right! In 18755, start from the rightmost 5 and count left: 4 places gives you 1.8755.

Q: What if my answer seems too small compared to the original numbers?

That's normal when multiplying by decimals less than 1! $ 0.5 $ means half, so your answer should be about half of 3.751.

Q: Can I check my decimal placement?

Yes! Estimate first: $ 4 \times 0.5 = 2 $, so your answer should be close to 2. 1.8755 ≈ 2 ✓, but 18.755 is way too big!

Decimal Multiplication with Place Value Rules

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

$3.751\times0.5=18755$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Place the decimal point

00:04 Count the total number of digits after the decimal point

00:08 Based on this sum, we'll place the decimal point in the solution

00:12 Move the decimal point according to the sum of digits

00:15 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

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

$3.751\times0.5=18755$

Step-by-step solution

To solve the problem, we need to follow these steps:

Step 1: Multiply $3.751$ and $0.5$ as though they are whole numbers.
Step 2: Calculate the product of these whole numbers.
Step 3: Adjust the decimal point in the product to correspond to the number of decimal places in the original numbers.

Now, let's work through each step:

**Step 1-2**: Multiply $3.751$ by $0.5$ by treating them as $3751$ and $5$ . The multiplication is:
$3751 \times 5 = 18755$

**Step 3**: The original numbers have a total of four decimal places (three from $3.751$ and one from $0.5$ ). Therefore, the result should also have four decimal places. Starting with $18755$ , we place the decimal point four places from the right:
$1.8755$

Thus, the correct result with the decimal point placed accurately is $1.8755$ .

The correct answer brings us to choice 2: $1.8755$

Final Answer

$1.8755$

Key Points to Remember

Essential concepts to master this topic

Rule: Count decimal places in both factors to place decimal in product
Technique: $3.751$ (3 places) × $0.5$ (1 place) = 4 places total
Check: Product $1.8755$ has 4 decimal places from right ✓

Common Mistakes

Avoid these frequent errors

Counting decimal places incorrectly or forgetting to apply the rule
Don't just place the decimal randomly or forget the place value rule = wrong answer like 18.755 or 187.55! This ignores the fundamental principle of decimal multiplication. Always count total decimal places in both factors, then place decimal that many places from the right in your product.

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 like whole numbers first?

Multiplying like whole numbers gives you the correct digits for your answer. The decimal placement rule then puts the decimal point in exactly the right spot!

What if one number has no decimal point shown?

Numbers like 5 actually have zero decimal places (same as 5.0). Only count the decimal places you can actually see in the problem.

How do I remember which way to count decimal places?

Always count from the right! In 18755, start from the rightmost 5 and count left: 4 places gives you 1.8755.

What if my answer seems too small compared to the original numbers?

That's normal when multiplying by decimals less than 1! $0.5$ means half, so your answer should be about half of 3.751.

Can I check my decimal placement?

Yes! Estimate first: $4 \times 0.5 = 2$ , so your answer should be close to 2. 1.8755 ≈ 2 ✓, but 18.755 is way too big!

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