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

00:00 Solve

00:03 We'll use long addition for calculation

00:10 We'll place the decimal point in the appropriate position

00:13 We'll start by adding the smallest appropriate digits

00:17 We'll place the units and carry 1 up

00:29 We'll add 1 to this calculation and place it

00:34 And this is the solution to the question

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

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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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