Solve the Decimal Addition: 0.4 + 0.3

Decimal Addition with Tenths Place

Solve the following:

0.4+0.3= 0.4+0.3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this by adding vertically.
00:09 First, arrange the numbers one below the other.
00:13 Make sure the decimal points line up nicely.
00:16 Start with the smallest digits on the right.
00:20 Add them up and write the result.
00:25 Keep going, add the next digits, and write each total.
00:34 That's how you find the answer! Well done!

Step-by-step written solution

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1

Understand the problem

Solve the following:

0.4+0.3= 0.4+0.3=

2

Step-by-step solution

To solve the decimal addition 0.4+0.30.4 + 0.3, we will follow these steps:

  • Step 1: Line up the numbers by the decimal point.

  • Step 2: Add the decimal fractions directly as both numbers have only one digit after the decimal point.

  • Step 3: Sum the values and retain the decimal point in the same position for the result.

Let's begin the calculation:

Write the numbers aligning them by the decimal point:

0.4 0.4
+0.3 +0.3
_______
0.7 0.7

Adding the two numbers 0.40.4 and 0.30.3 gives 0.70.7.

Therefore, the solution to the problem is 0.70.7, which matches choice 1.

3

Final Answer

0.7

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Line up decimal points vertically before adding
  • Technique: Add digits in same place value: 4 tenths + 3 tenths = 7 tenths
  • Check: Result should have decimal point in same position: 0.4+0.3=0.7 0.4 + 0.3 = 0.7

Common Mistakes

Avoid these frequent errors
  • Adding digits without aligning decimal points
    Don't just add 4 + 3 = 7 and place decimal randomly! This ignores place value and gives wrong answers like 7 or 0.43. Always align decimal points first, then add column by column from right to left.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I just add 4 + 3 = 7 and call it done?

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Because 0.4 means 4 tenths, not 4 ones! When you ignore the decimal point, you're adding completely different values. Always keep the decimal point in the correct position.

Do I need to write 0.4 as 0.40 to add it?

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Not necessary! Since both numbers have the same number of decimal places (one digit after the point), you can add them directly. Adding zeros doesn't change the value: 0.4=0.40 0.4 = 0.40 .

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 column as the decimal points in the numbers you're adding. Just draw a straight line down!

What if I get confused about place values?

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Remember: the first digit after the decimal point is tenths, the second is hundredths. So 0.4 0.4 = 4 tenths and 0.3 0.3 = 3 tenths.

Is there a way to check my decimal addition?

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Yes! Convert to fractions: 0.4=410 0.4 = \frac{4}{10} and 0.3=310 0.3 = \frac{3}{10} , so 410+310=710=0.7 \frac{4}{10} + \frac{3}{10} = \frac{7}{10} = 0.7

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