Solve Decimal Addition: 0.9 + 0.8 Using Number Blocks

Decimal Addition with Visual Number Blocks

0.9+0.8= 0.9+0.8=

+=

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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
00:08 Place the decimal point in the appropriate position
00:12 We'll start by adding the appropriate smallest digits
00:21 Place the units and remember to carry 1 up
00:31 Add 1 to this calculation, and place
00:37 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

0.9+0.8= 0.9+0.8=

+=

2

Step-by-step solution

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

  • Step 1: Align the numbers by their decimal points.
  • Step 2: Add the numbers starting from the furthest right decimal place.
  • Step 3: Handle any carryover if necessary.

Let's apply these steps to our problem:

Step 1: We align 0.90.9 and 0.80.8 so that their decimal points are in a column:
0.9+0.8 \begin{array}{c} 0.9 \\ +0.8 \\ \hline \end{array}

Step 2: Add the numbers starting from the rightmost digit (tenths place):
- In the tenths place, 9+8=179 + 8 = 17. This results in 77 in the tenths place and carry 11 to the units place.

Step 3: Handle the carryover:
- In the units place, we consider any carry. Adding the carry 11 from the tenths place gives us 1+(0+0)=11 + (0 + 0) = 1.

So, the final result after addition is:
1.7 \begin{array}{c} 1.7 \\ \end{array}

Therefore, the sum of 0.90.9 and 0.80.8 is 1.7\boxed{1.7}.

3

Final Answer

1.7

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points to add correctly place value
  • Technique: Add tenths place: 9 + 8 = 17, write 7 carry 1
  • Check: Count visual blocks to verify 1.7 represents correct total ✓

Common Mistakes

Avoid these frequent errors
  • Adding without considering place value
    Don't just add 9 + 8 = 17 and write 17 as the answer! This ignores that both numbers are in tenths place, making the result 10 times too big. Always align decimal points and handle carryover properly to get 1.7.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do the visual blocks help me understand this problem?

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The visual blocks show exactly how much each decimal represents! The first block shows 0.9 (9 tenths) and the second shows 0.8 (8 tenths), making it easier to see the total.

What does it mean to 'carry' the 1 in decimal addition?

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When adding in the tenths place gives you 9 + 8 = 17, you can't write 17 in one place. Write the 7 in tenths place and carry the 1 to the units place, just like whole number addition!

How do I know when I need to carry in decimal addition?

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You need to carry when any place value adds up to 10 or more. Since 9 + 8 = 17, which is greater than 10, you carry 1 to the next place value.

Can I check my answer without the visual blocks?

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Yes! You can check by thinking: 0.9 is almost 1 and 0.8 is almost 1, so the answer should be close to 2. Since 1.7 is close to 2, it makes sense!

Why is the answer 1.7 and not just 17?

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Because we're adding tenths, not whole numbers! 0.9+0.8 0.9 + 0.8 means 9 tenths + 8 tenths = 17 tenths, which equals 1 whole and 7 tenths = 1.7.

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