Decimal Addition: Solve 115.32 + 115.102 Step-by-Step

Decimal Addition with Place Value Alignment

Solve the following exercise:

115.32+115.102

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's start solving the problem together.
00:10 First, place zero in the correct spot. Remember to carefully position the decimal point.
00:16 Now, connect the numbers as needed and place them accurately.
00:31 Don't forget to align your units, and make sure to add one above.
00:40 Make sure to include one in this addition, and position it correctly.
00:45 Continue placing and connecting the numbers carefully.
00:50 Great job! And that's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

115.32+115.102

2

Step-by-step solution

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 115.32 as follows:

115.320+115.102 115.320\\+115.102\\

Now let's solve the exercise in order:

Let's multiply the thousandths after the decimal point:

0+2=2 0+2=2

Let's multiply the hundredths after the decimal point:

2+0=2 2+0=2

Let's multiply the tenths after the decimal point:

3+1=4 3+1=4

Finally, let's multiply the whole numbers before the decimal point accordingly:

5+5=10 5+5=10

We'll add the tens to the tens digit and get:

1+1+1=3 1+1+1=3 1+1=2 1+1=2

And we obtain the following:

115.320+115.102230.422 115.320\\+115.102\\230.422

3

Final Answer

230.422

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically to match place values
  • Padding: Add zeros like 115.32 becomes 115.320 for easier calculation
  • Check: Final answer 230.422 has same decimal places as longest addend ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't line up the right edges of numbers like whole number addition = wrong place values! This causes you to add tenths to hundredths, creating completely incorrect sums. Always align decimal points vertically first.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to add a zero to 115.32?

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Adding zero to make 115.320 helps you see all place values clearly! It's like having the same number of decimal places in both numbers, making addition much easier and reducing mistakes.

What if the decimal points don't line up when I write them?

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Always write the decimal points directly under each other first! Then fill in the digits. If one number is shorter, imagine zeros in the empty places.

How do I know where to put the decimal point in my answer?

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The decimal point in your answer goes directly below the decimal points in the problem. It should line up perfectly in the same column!

Can I add decimals from left to right instead?

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It's much easier to add from right to left (like whole numbers) because you can carry over properly. Start with the rightmost digits and work your way left.

What if I get confused about which digit goes where?

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  • Ones place: Just before the decimal point
  • Tenths: First digit after decimal point
  • Hundredths: Second digit after decimal point
  • Thousandths: Third digit after decimal point

How can I check if 230.422 is the right answer?

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You can check by estimating: 115+115=230 115 + 115 = 230 , so your answer should be close to 230. Since 230.422 is very close, it looks correct!

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