Solve Decimal Addition: 13.4 + 4.5 + 0.1 Step by Step

Decimal Addition with Multiple Addends

13.4+4.5+0.1= 13.4+4.5+0.1=

❤️ 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 Let's solve according to the order of operations from left to right
00:06 Each time we'll solve the leftmost operation
00:09 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

13.4+4.5+0.1= 13.4+4.5+0.1=

2

Step-by-step solution

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

  • Step 1: Align the decimal numbers by their decimal points: 13.4 13.4 , 4.5 4.5 , and 0.1 0.1 .

  • Step 2: Perform the addition column by column, starting from the rightmost side.

  • Step 3: Sum the values, taking care of decimal alignment.

Now, let's work through each step:

Step 1: Prepare the addition by aligning the decimal points:
13.4
+ 4.5
+ 0.1

Step 2: Start from the rightmost digits (tenths place):
0.4+0.5+0.1=1.0 0.4 + 0.5 + 0.1 = 1.0

Step 3: Now, add the whole number places:
13+4+0=17 13 + 4 + 0 = 17

Add these results together:
17(whole number)+1.0(from tenths)=18.0 17 (\text{whole number}) + 1.0 (\text{from tenths}) = 18.0

Therefore, the solution to the problem is 18 18 .

3

Final Answer

18

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding
  • Technique: Add column by column: 0.4 + 0.5 + 0.1 = 1.0
  • Check: Count decimal places in answer matches problem setup ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't add 13.4 + 4.5 + 0.1 = 13.91 by adding digits without alignment! This treats place values incorrectly and gives wrong totals. Always line up decimal points vertically before adding column by column.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0.6+0}.5= \)

+=

FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

+

Decimal points must be aligned vertically so that digits in the same place value (ones, tenths, hundredths) are added together correctly. Without alignment, you're adding different place values!

What if the decimals have different numbers of digits after the point?

+

That's fine! In this problem, 13.4 and 4.5 have one decimal place while 0.1 also has one. Just imagine invisible zeros if needed: 13.40, 4.50, 0.10.

How do I add the tenths column when it equals more than 1?

+

When 0.4 + 0.5 + 0.1 = 1.0, you get 1 whole number and 0 tenths. Write down 0 in the tenths place and carry the 1 to add with the ones column.

Why is the answer 18 and not 18.0?

+

Both are correct! 18 18 and 18.0 18.0 represent the same value. Since there are no remaining decimal parts, we can write it as the whole number 18.

Can I add these numbers in a different order?

+

Yes! Addition is commutative, so 13.4 + 4.5 + 0.1 = 4.5 + 13.4 + 0.1. The answer will always be the same regardless of order.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties 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

More Questions

Click on any question to see the complete solution with step-by-step explanations