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

Decimal Addition with Money Context

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

How much did Noah pay in total?

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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
1

Understand the problem

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

How much did Noah pay in total?

2

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 11.3\\+16.1

We'll add from left to right as follows:

27.4 27.4

3

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 11.3 + 16.1 by combining whole numbers then tenths
  • Check: Verify 11.3+16.1=27.4 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 274insteadof274 instead of 27.4. Always align decimal points and add column by column.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why does 11.3 + 16.1 equal 27.4 and not 27.2?

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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 27.4 .

Do I need to write 11.30and11.30 and 16.10 instead?

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Not required, but it can help! Writing 11.30+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?

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Use estimation: 11+11 + 16 = 27</strong>,soyouranswershouldbecloseto27</strong>, so your answer should be close to 27. Since 27.4 27.4 is near $27, it's reasonable!

What if I get confused adding the decimal parts?

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Break it down:

  • Whole dollars: 11+11 + 16 = 27</li><li>Decimalparts:0.3+0.1=0.4</li><li>Total:27</li><li>Decimal parts: 0.3 + 0.1 = 0.4</li><li>Total: 27 + 0.4=<strong>0.4 = <strong>27.4

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

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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 27.4 .

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