Calculate the Sum: Finding 1.54 + 0.27 Step-by-Step

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'll add wrong digits together!

Q: How many decimal places should my answer have?

Your answer should have the same number of decimal places as the number with the most decimal places in your problem. Both 1.54 and 0.27 have 2 decimal places, so 1.81 has 2.

Q: What if I get confused about which column to start with?

Always start from the rightmost column (furthest right after the decimal point) and work your way left, just like with whole number addition!

Q: Can I check my answer without redoing the whole problem?

Yes! Try adding in reverse order: $ 0.27 + 1.54 $. You can also estimate: 1.5 + 0.3 ≈ 1.8, so 1.81 makes sense.

Decimal Addition with Place Value Alignment

$1.54+0.27=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 We'll use vertical addition for calculation

00:07 Let's make sure to write it properly, digit over digit

00:13 First, let's add the smallest digits

00:18 Calculate and write down the ones, remember to carry the 1

00:29 For this calculation, we'll add 1

00:35 Write it down, and continue to add, calculate and place accordingly

00:49 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

$1.54+0.27=$

Step-by-step solution

To solve the addition problem of $1.54 + 0.27$ , we start by aligning the numbers by their decimal points:

Step 1: Write the numbers vertically, one under the other, ensuring that the decimal points are aligned:
$\begin{array}{c} ~~~1.54 \\ +0.27 \\ \hline \end{array}$
Step 2: Add the digits starting from the rightmost column (hundredths place):
- Hundredths place: $4 + 7 = 11$ . Write down $1$ and carry over $1$ to the tenths place.
- Tenths place: $5 + 2 = 7$ plus the carried over $1$ gives us $8$ . Write down $8$ .
- Ones place: $1 + 0 = 1$ . Write down $1$ .
Step 3: Combine the results:
$\begin{array}{c} ~~~1.54 \\ + 0.27 \\ \hline ~~~1.81 \\ \end{array}$

Therefore, the sum of $1.54$ and $0.27$ is $1.81$ .

From the given answer choices, the correct answer is choice 1: $1.81$ .

Final Answer

1.81

Key Points to Remember

Essential concepts to master this topic

Rule: Always align decimal points vertically before adding
Technique: Add from right to left: 4 + 7 = 11, carry the 1
Check: Count decimal places: both numbers have 2, answer has 2 ✓

Common Mistakes

Avoid these frequent errors

Not aligning decimal points properly
Don't line up the last digits like 1.54 + 0.27 becomes 154 + 27 = 181! This ignores place values and gives 1.81 instead of the correct alignment. Always line up decimal points vertically first, then add column by column.

Practice Quiz

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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'll add wrong digits together!

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

When adding digits gives you 10 or more, write down the ones digit and carry the tens digit to the next column. Like $4 + 7 = 11$ , write 1 and carry 1 to the tenths place.

How many decimal places should my answer have?

Your answer should have the same number of decimal places as the number with the most decimal places in your problem. Both 1.54 and 0.27 have 2 decimal places, so 1.81 has 2.

What if I get confused about which column to start with?

Always start from the rightmost column (furthest right after the decimal point) and work your way left, just like with whole number addition!

Can I check my answer without redoing the whole problem?

Yes! Try adding in reverse order: $0.27 + 1.54$ . You can also estimate: 1.5 + 0.3 ≈ 1.8, so 1.81 makes sense.

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