Decimal Addition: Calculate $7.30 + $6.40 in Shopping Context

Q: Why do I need to align the decimal points?

Aligning decimal points ensures you're adding like place values: tenths with tenths, hundredths with hundredths. Without alignment, you might accidentally add a tenth to a hundredth!

Q: What if one number has fewer decimal places?

Add zeros to make them equal! For example, treat $ 7.3 $ as $ 7.30 $ when adding to $ 6.40 $.

Q: How do I check if my decimal addition is correct?

Use estimation! Round each number to the nearest whole number: $ 7 + 6 = 13 $. Your answer $ 13.7 $ should be close to this estimate.

Q: Do I always need to show two decimal places for money?

For money problems, yes! Even if your answer is $ 13.7 $, write it as $13.70 to show cents clearly.

Q: What if I forget to carry over when adding?

Always double-check each column! If any column adds up to 10 or more, you must carry the extra to the next column on the left.

Decimal Addition with Money Calculations

Jorge spends $ $7.3$ on pomegranates and $ $6.4$ on bananas.

How much does Jorge pay in total?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 We will use long addition for calculation

00:10 Each time we'll add, calculate and substitute accordingly

00:21 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

Jorge spends $ $7.3$ on pomegranates and $ $6.4$ on bananas.

How much does Jorge pay in total?

Step-by-step solution

In order to determine how much Jorge paid, let's begin by adding together the cost of both the bananas and the pomegranates:

$7.3\\+6.4$

Adding from right to left we should obtain the following:

$13.7$

Final Answer

$ $13.7$

Key Points to Remember

Essential concepts to master this topic

Rule: Align decimal points and add column by column from right
Technique: Add tenths place: 3 + 4 = 7 tenths
Check: Answer makes sense: $7.3 + 6.4 = 13.7$ dollars total ✓

Common Mistakes

Avoid these frequent errors

Adding whole numbers and decimals separately
Don't add 7 + 6 = 13, then 3 + 4 = 7 to get $13.77! This treats decimal places as separate numbers instead of place values. Always align decimal points vertically and add each column properly.

Practice Quiz

Test your knowledge with interactive questions

Are they the same numbers?

$0.1\stackrel{?}{=}0.10$

FAQ

Everything you need to know about this question

Why do I need to align the decimal points?

Aligning decimal points ensures you're adding like place values: tenths with tenths, hundredths with hundredths. Without alignment, you might accidentally add a tenth to a hundredth!

What if one number has fewer decimal places?

Add zeros to make them equal! For example, treat $7.3$ as $7.30$ when adding to $6.40$ .

How do I check if my decimal addition is correct?

Use estimation! Round each number to the nearest whole number: $7 + 6 = 13$ . Your answer $13.7$ should be close to this estimate.

Do I always need to show two decimal places for money?

For money problems, yes! Even if your answer is $13.7$ , write it as $13.70 to show cents clearly.

What if I forget to carry over when adding?

Always double-check each column! If any column adds up to 10 or more, you must carry the extra to the next column on the left.

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