Solve Decimal Addition: 0.6 + 0.7 Using Visual Blocks

Decimal Addition with Visual Blocks

0.6+0.7= 0.6+0.7=

+=

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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
00:09 We will place the decimal point in the appropriate position
00:12 We will start by adding the smallest corresponding digits
00:19 We will place the units and remember 1 above
00:29 We will add 1 to this calculation, and place it
00:39 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

0.6+0.7= 0.6+0.7=

+=

2

Step-by-step solution

To solve the problem 0.6+0.7 0.6 + 0.7 , we'll perform simple addition of decimal numbers:

  • Step 1: Align the numbers by their decimal points:
    0.6
    + 0.7
  • Step 2: Add the numbers column by column, starting from the rightmost digit:

0.6 can be thought of as 0.60 if we want to align them neatly:
0.60
+ 0.70
---------------

  • Add the hundredths (rightmost) digit: 0 + 0 = 0
  • Add the tenths digit: 6 + 7 = 13. Since this sum is greater than 9, we write down 3 and carry over 1 to the ones column.
  • Add the digits in the ones column: 0 + 0 = 0, then add the carried over 1 to get 1.

The result of the addition 0.6+0.7 0.6 + 0.7 is 1.3 1.3 . This matches our expectations from the arithmetic process.

Therefore, the solution to the problem is 1.3 1.3 .

3

Final Answer

1.3

Key Points to Remember

Essential concepts to master this topic
  • Rule: Align decimal points when adding decimal numbers together
  • Technique: 0.6 + 0.7 = 6 tenths + 7 tenths = 13 tenths
  • Check: Count blocks in answer: 1 whole + 3 tenths = 1.3 ✓

Common Mistakes

Avoid these frequent errors
  • Adding without considering place value
    Don't just add 6 + 7 = 13 and write 13 as the answer! This ignores that both numbers are in tenths place. Always align decimal points and add by place value to get 1.3, not 13.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do the visual blocks help me understand decimal addition?

+

Visual blocks show that 0.6 means 6 tenths and 0.7 means 7 tenths. When you combine 6 tenths + 7 tenths = 13 tenths, which equals 1 whole and 3 tenths = 1.3!

What happens when I get more than 10 in the tenths place?

+

When tenths add up to 10 or more, you regroup! Just like 13 tenths becomes 1 whole and 3 tenths. This is why 0.6 + 0.7 = 1.3, not 0.13.

How do I know which visual block answer is correct?

+

Count carefully! The first block should show 1 complete whole (10 tenths) plus 3 additional tenths. That's exactly what 1.3 represents visually.

Can I solve this without the blocks?

+

Absolutely! Line up the decimal points vertically:
0.6
+ 0.7
-----
1.3

The blocks just help you see what's happening with the place values.

What if I wrote 0.13 instead of 1.3?

+

That's a common mistake! 0.13 means 1 tenth and 3 hundredths, which is much smaller than our answer. Remember: when you get 13 tenths, that's the same as 1 whole and 3 tenths = 1.3.

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