Solve: Adding Positive Decimals 0.68 + 12.03

Q: Why do both numbers have plus signs in front?

The plus signs emphasize that both numbers are positive. In decimal addition, $ (+0.68) + (+12.03) $ means we're adding two positive values together.

Q: How do I know the answer will be positive?

When adding two positive numbers, the result is always positive! Think of it as moving forward on a number line twice - you end up further in the positive direction.

Q: What if I accidentally line up the numbers wrong?

Always align the decimal points vertically! Write it as: 0.68+12.03------ 12.71This keeps each digit in its correct place value.

Q: How can I check if 12.71 is reasonable?

Use estimation! Round to whole numbers: $ 1 + 12 = 13 $. Since 12.71 is close to 13, your answer makes sense!

Decimal Addition with Positive Numbers

Solve the following expression:

$(+0.68)+(+12.03)=\text{ ?}$

❤️ 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

00:07 Let's solve this problem together!

00:10 First, locate the point, zero point six eight, on the number line.

00:15 To add, we'll move to the right, because that's the positive direction on the number line.

00:22 Next, we'll use long addition to find the result. Let's calculate step by step.

00:34 And there you have it! That's the solution to our question.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following expression:

$(+0.68)+(+12.03)=\text{ ?}$

Step-by-step solution

Given that we are adding two positive numbers together, the result will be positive.

Looking at the numbers, we know that the result must be greater than 12.

Then we can proceed to use simple addition to solve as follows:

$0.68\\+12.03\\12.71$

Final Answer

$12.71$

Key Points to Remember

Essential concepts to master this topic

Rule: Adding positive decimals always produces a positive result
Technique: Align decimal points vertically: 0.68 + 12.03 = 12.71
Check: Sum should be greater than largest addend: 12.71 > 12.03 ✓

Common Mistakes

Avoid these frequent errors

Misaligning decimal points during addition
Don't write 0.68 + 12.03 as 68 + 1203 = wrong alignment! This ignores place value and gives completely wrong answers. Always line up decimal points vertically before adding.

Practice Quiz

Test your knowledge with interactive questions

$$ -5-(-2)= $$

FAQ

Everything you need to know about this question

Why do both numbers have plus signs in front?

The plus signs emphasize that both numbers are positive. In decimal addition, $(+0.68) + (+12.03)$ means we're adding two positive values together.

How do I know the answer will be positive?

When adding two positive numbers, the result is always positive! Think of it as moving forward on a number line twice - you end up further in the positive direction.

What if I accidentally line up the numbers wrong?

Always align the decimal points vertically! Write it as:

0.68
+12.03
------
12.71

This keeps each digit in its correct place value.

How can I check if 12.71 is reasonable?

Use estimation! Round to whole numbers: $1 + 12 = 13$ . Since 12.71 is close to 13, your answer makes sense!

Do I need to add zeros to make the decimals the same length?

It helps for organization! You can write 0.68 as 0.68 and 12.03 as 12.03, or add trailing zeros: 0.680 + 12.030 = 12.710

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Signed Numbers (Positive and Negative) 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