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

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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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