Solve 0.6 + 0.6: Visual Decimal Addition with Number Blocks

Q: Why can't I just add 6 + 6 = 12 and write 1.12?

Because 0.6 + 0.6 means 6 tenths + 6 tenths = 12 tenths. Since 12 tenths equals 1 whole and 2 tenths, the answer is 1.2, not 1.12!

Q: What does 'carry over' mean in decimal addition?

When adding digits gives you 10 or more, you write the ones digit in that place and 'carry' the tens digit to the next column left. Like 6 + 6 = 12, so write 2 and carry 1.

Q: What if I get confused about tenths vs hundredths?

Remember: tenths are the first digit after the decimal point. Since 0.6 has only one decimal place, you're working with tenths, not hundredths.

Decimal Addition with Place Value Alignment

$0.6+0.6=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve this together.

00:07 We'll use long addition to calculate the answer.

00:13 Next, we'll place the decimal point correctly.

00:17 We'll begin by adding the smallest digits first.

00:23 Don't forget to carry the one, by placing it above.

00:33 Add the one to your current calculation and write it down.

00:41 And there you go, that's the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.6+0.6=$

Step-by-step solution

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

Step 1: Align the numbers by their decimal points.
Write $0.6$ directly under $0.6$ :

\begin{array}{c} 0.6 \\ +0.6 \end{array}

Step 2: Add the tenths places. $6 + 6 = 12$ . Write down $2$ in the tenths place and carry over $1$ to the units place.
Step 3: Add the units place with the carry-over. $0 + 0 + 1 = 1$ . Write down $1$ in the whole number place.

Thus, when we add $0.6$ and $0.6$ , we obtain:

1.2

Therefore, the solution to the problem is $1.2$ .

Final Answer

1.2

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack decimal points directly on top of each other
Addition: Add column by column: 6 + 6 = 12 tenths
Carrying: Write 2 in tenths place, carry 1 to ones place ✓

Common Mistakes

Avoid these frequent errors

Adding without aligning decimal points
Don't just add 6 + 6 = 12 and write 1.12! This ignores place value and gives wrong results. Always align decimal points vertically so tenths add to tenths, creating proper carries when sums exceed 9.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I just add 6 + 6 = 12 and write 1.12?

Because 0.6 + 0.6 means 6 tenths + 6 tenths = 12 tenths. Since 12 tenths equals 1 whole and 2 tenths, the answer is 1.2, not 1.12!

What does 'carry over' mean in decimal addition?

When adding digits gives you 10 or more, you write the ones digit in that place and 'carry' the tens digit to the next column left. Like 6 + 6 = 12, so write 2 and carry 1.

How do I know which visual block represents the answer?

Count the filled sections! The first block shows 1 whole (10 tenths) completely filled, plus 2 more tenths in the second block, giving you 1.2 total.

Can I use a number line instead of blocks?

Absolutely! Start at 0.6, then jump another 0.6 units right. You'll land on 1.2. Both visual methods show the same mathematical relationship.

What if I get confused about tenths vs hundredths?

Remember: tenths are the first digit after the decimal point. Since 0.6 has only one decimal place, you're working with tenths, not hundredths.

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