Decimal Addition: Calculate Total Cost of $11.30 + $16.10 in Shopping

Q: Why does 11.3 + 16.1 equal 27.4 and not 27.2?

Line up the decimal points! When you add vertically: 11.3 + 16.1, you get 1+1=2 in ones place, 3+1=4 in tenths place, giving you $ 27.4 $.

Q: Do I need to write $11.30 and $16.10 instead?

Not required, but it can help! Writing $11.30 + $16.10 makes it clearer that you're adding dollars and cents, and helps align decimal points correctly.

Q: How do I know my total makes sense?

Use estimation: $11 + $16 = $27, so your answer should be close to $27. Since $ 27.4 $ is near $27, it's reasonable!

Q: What if I get confused adding the decimal parts?

Break it down: Whole dollars: $11 + $16 = $27Decimal parts: 0.3 + 0.1 = 0.4Total: $27 + $0.4 = $27.4

Q: Can I just add 113 + 161 and put the decimal somewhere?

No! That gives 274, but where's the decimal? You must align decimal points first, then add column by column to get the correct $ 27.4 $.

Decimal Addition with Money Context

Noah bought apples for $11.3$ dollars and grapes for $16.1$ dollars.

How much did Noah pay in total?

❤️ 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 We will use long addition for calculation

00:12 Each time we'll add, calculate and substitute accordingly

00:28 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

Noah bought apples for $11.3$ dollars and grapes for $16.1$ dollars.

How much did Noah pay in total?

Step-by-step solution

In order to determine how much Noah paid in total, we'll add the cost of apples with the cost of grapes in the following manner:

$11.3\\+16.1$

We'll add from left to right as follows:

$27.4$

Final Answer

$ $27.4$

Key Points to Remember

Essential concepts to master this topic

Rule: Align decimal points when adding money amounts vertically
Technique: Add $11.3 + 16.1$ by combining whole numbers then tenths
Check: Verify $11.3 + 16.1 = 27.4$ makes sense in context ✓

Common Mistakes

Avoid these frequent errors

Forgetting to align decimal points
Don't add 113 + 161 = 274 treating decimals as whole numbers! This ignores place value and gives $274 instead of $27.4. Always align decimal points and add column by column.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct writing form:

FAQ

Everything you need to know about this question

Why does 11.3 + 16.1 equal 27.4 and not 27.2?

Line up the decimal points! When you add vertically: 11.3 + 16.1, you get 1+1=2 in ones place, 3+1=4 in tenths place, giving you $27.4$ .

Do I need to write $11.30 and $16.10 instead?

Not required, but it can help! Writing $11.30 + $16.10 makes it clearer that you're adding dollars and cents, and helps align decimal points correctly.

How do I know my total makes sense?

Use estimation: $11 + $16 = $27, so your answer should be close to $27. Since $27.4$ is near $27, it's reasonable!

What if I get confused adding the decimal parts?

Break it down:

Whole dollars: $11 + $16 = $27
Decimal parts: 0.3 + 0.1 = 0.4
Total: $27 + $0.4 = $27.4

Can I just add 113 + 161 and put the decimal somewhere?

No! That gives 274, but where's the decimal? You must align decimal points first, then add column by column to get the correct $27.4$ .

🌟 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