Decimal Multiplication: Locate the Decimal Point in 2.37 × 1.10 = 2607

Q: Why does 1.10 have 2 decimal places when it ends in zero?

The trailing zero in $1.10$ counts as a decimal place! Even though $1.10 = 1.1$, when written with two decimal places, you must count both positions.

Q: What if I get a different number of digits than expected?

If your product has fewer digits than the total decimal places needed, add leading zeros. For example, if you need 4 decimal places but only have 3 digits, write it as 0.607 instead of .607.

Q: How can I check if my decimal placement is reasonable?

Use estimation! Since $2.37 \times 1.10$ is approximately $2 \times 1 = 2$, your answer should be close to 2. The answer 2.607 makes perfect sense!

Decimal Multiplication with Place Value Positioning

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

$2.37\times1.10=2607$

❤️ 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

00:06 Write the number as a whole number in the numerator, and multiply by 10 in the denominator

00:10 Add zeros to the denominator according to the number of digits after the decimal point

00:19 Move to the second factor, use the same method

00:23 Write the number as a whole number in the numerator, and multiply by 10 in the denominator

00:28 Add zeros to the denominator according to the number of digits after the decimal point

00:40 Make sure to multiply numerator by numerator and denominator by denominator

00:53 Calculate the multiplications

01:07 Now write the numerator as a whole number

01:11 For the zeros in the denominator, position the decimal point

01:20 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:

$2.37\times1.10=2607$

Step-by-step solution

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

Identify the number of decimal places in each factor
Sum the decimal places of the factors
Place the decimal point in the product accordingly
Confirm with the provided choices

Step 1: Let's determine the decimal places:
The number $2.37$ has 2 decimal places.
The number $1.10$ has 2 decimal places.

Step 2: Calculate the total decimal places:
The sum of the decimal places in both numbers is $2 + 2 = 4$ .

Step 3: Position the decimal point in the product:
The result of $2.37 \times 1.10$ is displayed as 2607.
We need to place the decimal point such that the result contains 4 decimal places in total, starting from the rightmost digit.

Step 4: Apply the decimal adjustment:
Starting from the right, place the decimal point 4 places from the right: $2.607$ .

Therefore, the correct position of the decimal point in the product is $2.607$ .

Final Answer

$2.607$

Key Points to Remember

Essential concepts to master this topic

Rule: Count decimal places in both factors and add them
Technique: 2.37 (2 places) × 1.10 (2 places) = 4 total places
Check: Verify 2.607 makes sense: approximately 2 × 1 = 2 ✓

Common Mistakes

Avoid these frequent errors

Counting decimal places incorrectly
Don't count digits after decimal point randomly = wrong placement! Students often miscount 1.10 as having 1 decimal place instead of 2. Always count every digit position after the decimal point, including trailing zeros.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 0.008 =$

FAQ

Everything you need to know about this question

Why does 1.10 have 2 decimal places when it ends in zero?

The trailing zero in $1.10$ counts as a decimal place! Even though $1.10 = 1.1$ , when written with two decimal places, you must count both positions.

What if I get a different number of digits than expected?

If your product has fewer digits than the total decimal places needed, add leading zeros. For example, if you need 4 decimal places but only have 3 digits, write it as 0.607 instead of .607.

How can I check if my decimal placement is reasonable?

Use estimation! Since $2.37 \times 1.10$ is approximately $2 \times 1 = 2$ , your answer should be close to 2. The answer 2.607 makes perfect sense!

Do I need to keep trailing zeros in my final answer?

For most problems, you can drop unnecessary trailing zeros. So $2.6070$ becomes $2.607$ . However, keep them if the problem specifically asks for a certain number of decimal places.

What's the fastest way to count decimal places?

Look at the first number: count digits after the decimal point
Look at the second number: count digits after the decimal point
Add these counts together
That's how many decimal places your answer needs!

🌟 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