Solve the Addition: Finding the Sum of 100 + 10.3

Decimal Addition with Whole Numbers

100+10.3= 100+10.3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We'll use vertical addition for calculation
00:08 Let's make sure to write properly, decimal point above decimal point
00:18 First, let's add the smallest digits
00:25 Calculate and substitute
00:29 Continue to add, calculate and substitute accordingly
00:56 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

100+10.3= 100+10.3=

2

Step-by-step solution

To solve this problem, we'll add the numbers 100 and 10.3.

Let's break down the steps as follows:

  • Step 1: Align the numbers vertically by the decimal point. While 100 100 is a whole number, it can be written as 100.0 100.0 to facilitate alignment. Therefore, write the numbers as: 100.0+10.3 \begin{array}{r} 100.0 \\ + 10.3 \\ \hline \end{array}
  • Step 2: Proceed with addition, starting from the rightmost digits. The setup allows addition digit-by-digit:
    • Add the tenths place: 0+3=3 0 + 3 = 3 .
    • Add the ones place: 0+0=0 0 + 0 = 0 .
    • Add the tens place: 0+1=1 0 + 1 = 1 .
    • Add the hundreds place: since there's nothing above the 1, it remains 1 1 .
  • Step 3: Carefully maintain the decimal position. The result of this addition will be 110.3 110.3 .

Therefore, the sum of 100+10.3 100 + 10.3 is 110.3 110.3 .

3

Final Answer

110.3

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding
  • Technique: Write 100 as 100.0 to match decimal places clearly
  • Check: Verify that 110.3 - 10.3 = 100 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring decimal point alignment
    Don't just line up numbers on the right like 100 + 10.3 = 113! This treats .3 as 3 and gives a completely wrong answer. Always align decimal points vertically so place values match correctly.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the exercise is correctly written or not.

3.05+53.2

FAQ

Everything you need to know about this question

Why do I need to write 100 as 100.0?

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Writing 100 as 100.0 helps you see the decimal point clearly! This makes it easier to line up place values correctly when adding with decimal numbers.

What happens if I forget to align the decimal points?

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You'll get the wrong answer! For example, if you add 100 + 10.3 without proper alignment, you might get 113 instead of the correct answer 110.3.

Can I add decimals in my head?

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For simple problems like this, yes! Think: 100 + 10 = 110, then add the decimal part: 110 + 0.3 = 110.3.

How do I check if my decimal addition is correct?

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Use subtraction to check! If 100 + 10.3 = 110.3, then 110.3 - 10.3 should equal 100. Try it!

What if the decimal has different numbers of digits?

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No problem! Just add zeros to make them the same length. For example, treat 100 as 100.0 and 10.3 stays 10.3.

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