Calculate the Sum: 0.96 + 0.58 Using Vertical Addition

Q: Why do I need to line up the decimal points?

Lining up decimal points ensures you're adding like place values together - tenths with tenths, hundredths with hundredths. Without proper alignment, you'd be mixing different place values!

Q: How many decimal places should my answer have?

Your answer should have the same number of decimal places as the addend with the most decimal places. Since both 0.96 and 0.58 have 2 decimal places, the sum has 2.

Q: Can I add decimals without the vertical method?

Yes, but vertical addition is safer and clearer for carrying operations. It helps you organize your work and avoid mistakes with place values.

Q: Why is 1.54 correct instead of 1.154?

We don't write extra zeros from carrying! When $ 9 + 5 + 1 = 15 $, we write 5 in tenths place and carry 1 to units. The final answer is 1.54, not 1.154.

Decimal Addition with Carrying Operations

$\begin{aligned} &0.96 \\ +& \\ &0.58 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

❤️ 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 locate the decimal point

00:06 First, let's connect the smallest digits

00:09 Calculate and place the ones, remember 1 above

00:15 For this calculation add 1

00:19 Calculate and place the ones, remember 1 above

00:29 For this calculation add 1

00:35 For this calculation add 1, calculate and place

00:42 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

$\begin{aligned} &0.96 \\ +& \\ &0.58 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we will add the decimals $0.96$ and $0.58$ following these detailed steps:

Step 1: Align the numbers by their decimal points:

$\begin{aligned} \phantom{+} 0&.96 \\ + 0&.58 \\ \underline{\phantom{7765}}& \underline{\phantom{7745}} \\ \end{aligned}$

Step 2: Add the rightmost column (hundredths place).

$6 + 8 = 14$

Write 4 in the hundredths place and carry over 1 to the tenths place.

Step 3: Add the tenths column including the carry-over.

$9 + 5 + 1 = 15$

Write 5 in the tenths place and carry over 1 to the units place.

Step 4: Add the units (whole number) column including the carry-over.

$0 + 0 + 1 = 1$

Write 1 in the units place.

Result: Write down the final sum.

Therefore, the sum is $\mathbf{1.54}$ .

Final Answer

1.54

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up decimal points vertically before adding columns
Technique: Add from right to left: 6 + 8 = 14, write 4 carry 1
Check: Count decimal places: both addends have 2, so sum has 2 ✓

Common Mistakes

Avoid these frequent errors

Not aligning decimal points properly
Don't line up digits by their rightmost position like whole numbers = wrong place values! This puts tenths next to hundredths, creating incorrect sums. Always align decimal points vertically first, then add 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?

Lining up decimal points ensures you're adding like place values together - tenths with tenths, hundredths with hundredths. Without proper alignment, you'd be mixing different place values!

What does it mean to 'carry' in decimal addition?

When a column sum equals 10 or more, write the ones digit and carry the tens digit to the next column left. For example: $6 + 8 = 14$ means write 4, carry 1.

How many decimal places should my answer have?

Your answer should have the same number of decimal places as the addend with the most decimal places. Since both 0.96 and 0.58 have 2 decimal places, the sum has 2.

What if I forget to carry a number?

Forgetting to carry leads to wrong answers! Always check each column: if the sum is 10 or more, you must carry the extra digit to the next column.

Can I add decimals without the vertical method?

Yes, but vertical addition is safer and clearer for carrying operations. It helps you organize your work and avoid mistakes with place values.

Why is 1.54 correct instead of 1.154?

We don't write extra zeros from carrying! When $9 + 5 + 1 = 15$ , we write 5 in tenths place and carry 1 to units. The final answer is 1.54, not 1.154.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic 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