Solve Decimal Addition: 32.1 + 37.032 Step-by-Step

Decimal Addition with Different Place Values

Solve the following exercise:

32.1+37.032

❤️ 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 Place 0 in the appropriate positions
00:06 Add accordingly, and place
00:18 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

Solve the following exercise:

32.1+37.032

2

Step-by-step solution

To avoid confusion in solving the exercise, we'll first add two zeros to the number 32.1 as follows:

32.100+37.032 32.100\\+37.032\\

Now let's solve the exercise in order:

Let's multiply the thousandths after the decimal point:

0+2=2 0+2=2

Let's multiply the hundredths after the decimal point:

0+3=3 0+3=3

Let's multiply the tenths after the decimal point:

1+0=1 1+0=1

Finally, let's multiply the whole numbers before the decimal point accordingly:

2+7=9 2+7=9

3+3=6 3+3=6

And we obtain the following:

32.100+37.03269.132 32.100\\+37.032\\69.132

3

Final Answer

69.132

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points to align corresponding place values
  • Technique: Add trailing zeros like 32.1 becomes 32.100 for easier calculation
  • Check: Count decimal places: both numbers total 3 places, answer has 3 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't just line up the last digits like 32.1 + 37.032 = 69.133! This treats place values incorrectly and gives wrong sums. Always line up the decimal points first, then add trailing zeros to match decimal places.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct writing form:

FAQ

Everything you need to know about this question

Why do I need to add zeros to 32.1?

+

Adding zeros like 32.100 doesn't change the value, but it helps you see all place values clearly. This prevents mistakes when adding different decimal lengths together.

What if the numbers have different amounts of decimal places?

+

Always make them the same length by adding zeros to the shorter decimal. For example, 5.2 becomes 5.20 when adding to 3.47.

How do I know where to put the decimal point in my answer?

+

The decimal point in your answer goes in the same column as the decimal points you lined up in the problem. Just drop it straight down!

Can I add decimals from right to left like whole numbers?

+

Yes! Once you've aligned the decimal points and added zeros, you can add from right to left just like regular addition. Start with the rightmost column.

What if I get confused with the place values?

+

Remember the pattern: tenths, hundredths, thousandths. Use the decimal point as your anchor - everything lines up from there!

🌟 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

More Questions

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