Decimal Addition: Solve 1.02 + 6.4 Step by Step

Decimal Addition with Different Decimal Places

Choose the correct answer to the following exercise:

1.02+6.4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem step-by-step.
00:10 First, place zero in the correct spot.
00:14 Now, carefully place the decimal point.
00:19 Connect everything as needed and double-check.
00:23 And that's how we find the solution to the question!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the correct answer to the following exercise:

1.02+6.4

2

Step-by-step solution

To avoid confusion, we will first add the digit 0 to the number 6.4 as follows:

1.02+6.40 1.02\\+6.40\\

Now let's solve the exercise in order:

We'll start by adding the hundredths after the decimal point:

2+0=2 2+0=2

We'll then add the tenths after the decimal point:

0+4=4 0+4=4

Finally, we will add the units before the decimal point:

1+6=7 1+6=7

Finally, calculate as follows:

1.02+6.407.42 1.02\\+6.40\\7.42

3

Final Answer

7.42

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Line up decimal points to match place values correctly
  • Technique: Add zeros as placeholders: 6.4 becomes 6.40 to match 1.02
  • Check: Verify each column adds correctly: 2+0=2, 0+4=4, 1+6=7 gives 7.42 ✓

Common Mistakes

Avoid these frequent errors
  • Adding digits without aligning decimal points
    Don't just add 1.02 + 6.4 = 7.44 by treating them like whole numbers! This ignores place values and gives wrong results. Always align decimal points first and add zeros as needed to match decimal places.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to add a zero to 6.4?

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Adding zero makes 6.40 so both numbers have the same decimal places. This helps you align the columns correctly: hundredths with hundredths, tenths with tenths.

What if the decimal numbers have different lengths?

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Always add zeros as placeholders to make them the same length. For example: 3.5 + 2.47 becomes 3.50 + 2.47 for easier addition.

Do I start adding from left to right or right to left?

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Start from the rightmost column (hundredths place) and work left, just like with whole numbers. This way you can properly handle any carrying.

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

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The decimal point in your answer goes in the same position as the decimal points in the numbers you're adding. It lines up vertically!

What if I get confused with the place values?

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  • Ones place: before the decimal point
  • Tenths place: first digit after decimal
  • Hundredths place: second digit after decimal

Remember: each place is 10 times smaller as you move right.

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