Solve 0.5 + 0.5: Visual Number Line Addition Problem

Q: Why does 0.5 + 0.5 equal 1 instead of 0.10?

When you add 5 + 5 in the tenths place, you get 10. But 10 tenths equals 1 whole! So you write 0 in the tenths place and carry the 1 to the ones place, giving you 1.0 or simply 1.

Q: How does the visual number line help me understand this?

The number line shows two half-sections shaded. When you combine them, they fill exactly one complete unit. This visual proof confirms that 0.5 + 0.5 = 1.

Q: Is 0.5 the same as 1/2?

Yes! 0.5 and $ \frac{1}{2} $ represent the same value. So adding 0.5 + 0.5 is like adding $ \frac{1}{2} + \frac{1}{2} = 1 $.

Q: Can I use this method for other decimal additions?

Absolutely! The same carrying rules apply whether you're adding $ 0.7 + 0.6 $ or larger decimals like $ 2.8 + 1.5 $. Just align the decimal points and add column by column.

Decimal Addition with Visual Number Line

$0.5+0.5=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this together.

00:08 We'll use long addition for our calculations.

00:15 Next, we'll place the decimal point in the right spot.

00:19 Start by adding the smallest digits first.

00:23 Place the units here, and remember to carry one over.

00:34 Add one to this part, and write it down.

00:39 Great job! That's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.5+0.5=$

Step-by-step solution

To solve this problem, we will add the decimal numbers 0.5 and 0.5 together. The process involves:

Step 1: Align the decimal points of both numbers, which results in:

0.5
+ 0.5

Step 2: Start adding from the rightmost digit (tenths position in this case). The digits in the tenths position are both 5. Adding them gives 5 + 5 = 10. Because this is in the tenths position, write 0 in the tenths column, and carry over 1 to the units column.
Step 3: Proceed to the units column. The digits are 0 in the top row and 0 in the bottom row, while you have a carryover of 1. Therefore, 1 (carry) + 0 + 0 = 1.

Therefore, the sum of 0.5 + 0.5 is precisely $1$ .

Given that this was a multiple-choice question, the correct answer is choice 2: 1.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: When adding decimals, align decimal points vertically
Technique: Add tenths place: 5 + 5 = 10, write 0 and carry 1
Check: Visual verification shows two half-sections equal one whole unit ✓

Common Mistakes

Avoid these frequent errors

Not carrying over from tenths to ones place
Don't write 10 in the tenths place when adding 0.5 + 0.5 = 0.10! This ignores place value rules and gives an incorrect decimal. Always carry the 1 to the ones place to get the correct answer of 1.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the exercise is written correctly in relation to the position of the decimal point:

FAQ

Everything you need to know about this question

Why does 0.5 + 0.5 equal 1 instead of 0.10?

When you add 5 + 5 in the tenths place, you get 10. But 10 tenths equals 1 whole! So you write 0 in the tenths place and carry the 1 to the ones place, giving you 1.0 or simply 1.

How does the visual number line help me understand this?

The number line shows two half-sections shaded. When you combine them, they fill exactly one complete unit. This visual proof confirms that 0.5 + 0.5 = 1.

Is 0.5 the same as 1/2?

Yes! 0.5 and $\frac{1}{2}$ represent the same value. So adding 0.5 + 0.5 is like adding $\frac{1}{2} + \frac{1}{2} = 1$ .

What if I forget to carry over in decimal addition?

You'll get the wrong answer! Always remember: when any column adds up to 10 or more, write the ones digit and carry the tens digit to the next column to the left.

Can I use this method for other decimal additions?

Absolutely! The same carrying rules apply whether you're adding $0.7 + 0.6$ or larger decimals like $2.8 + 1.5$ . Just align the decimal points and add column by column.

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