Solve Decimal Addition: 0.6 + 0.5 Using Number Blocks

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

Aligning decimal points ensures you're adding like place values together - tenths with tenths, hundredths with hundredths. Without alignment, you'll mix up place values and get wrong answers.

Q: What does carrying mean in decimal addition?

When digits in a column add up to 10 or more, you carry the extra to the next column left. In $ 0.6 + 0.5 $, the tenths give us 11, so we write 1 and carry 1 to the ones place.

Q: How do the number blocks help me understand the answer?

Each large block represents 1 whole, and each small section represents 0.1. When you combine 6 tenths + 5 tenths = 11 tenths, that's the same as 1 whole + 1 tenth = 1.1.

Q: Why isn't the answer just 0.11?

Because $ 6 + 5 = 11 $ tenths, not 11 hundredths! Since 10 tenths = 1 whole, we have 1 whole + 1 remaining tenth = 1.1.

Q: What if I don't have number blocks to visualize?

You can draw your own or imagine rectangles! Divide rectangles into 10 equal parts, shade the portions you need, then combine them to see the total.

Decimal Addition with Visual Number Blocks

$\text{0.6+0}.5=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\text{0.6+0}.5=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Align the numbers $0.6$ and $0.5$ by their decimal points.
Step 2: Add the numbers as you would do with whole numbers.
Step 3: Place the decimal point in the sum directly under the decimal points of the addends.

Now, let's work through each step:
Step 1: Write the numbers aligned by the decimal point:
0.6
+ 0.5
Step 2: Add the digits: - Start from the right: $6 + 5 = 11$ . Place a $1$ in the tenths column and carry over $1$ .
Step 3: Add the whole number part considering any carry: - $0 + 0 + 1$ (from the carry) = $1$ .

The sum of $0.6$ and $0.5$ gives $1.1$ .

Therefore, the solution to the problem is $1.1$ .

Final Answer

1.1

Key Points to Remember

Essential concepts to master this topic

Alignment Rule: Always align decimal points vertically before adding
Technique: Add tenths place: $6 + 5 = 11$ , carry the 1
Check: Count blocks in answer: 1 whole block + 1 tenth block = 1.1 ✓

Common Mistakes

Avoid these frequent errors

Adding decimals without aligning decimal points
Don't just add 6 + 5 = 11 and write 11 as your final answer! This ignores place value and gives 11 instead of 1.1. Always line up the decimal points first, then add column by column with proper carrying.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the exercise is written correctly in relation to the position of the decimal point:

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 together - tenths with tenths, hundredths with hundredths. Without alignment, you'll mix up place values and get wrong answers.

What does carrying mean in decimal addition?

When digits in a column add up to 10 or more, you carry the extra to the next column left. In $0.6 + 0.5$ , the tenths give us 11, so we write 1 and carry 1 to the ones place.

How do the number blocks help me understand the answer?

Each large block represents 1 whole, and each small section represents 0.1. When you combine 6 tenths + 5 tenths = 11 tenths, that's the same as 1 whole + 1 tenth = 1.1.

Why isn't the answer just 0.11?

Because $6 + 5 = 11$ tenths, not 11 hundredths! Since 10 tenths = 1 whole, we have 1 whole + 1 remaining tenth = 1.1.

What if I don't have number blocks to visualize?

You can draw your own or imagine rectangles! Divide rectangles into 10 equal parts, shade the portions you need, then combine them to see the total.

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