Decimal Comparison: Determining if 0.500 = 0.5 Using Number Line

Question

Determine the appropriate sign according to the number line:

0000.50.50.51110.500?0.5 0.500?\text{0}.5

Video Solution

Solution Steps

00:07 First, let's choose the correct sign for our problem.
00:11 Next, we'll use a number line to locate our two numbers.
00:15 Remember, in a decimal, the last digit comes after the decimal point.
00:20 We can add as many zeros as we like, and the value stays the same.
00:25 So, the numbers are equal. And that's how we solve this problem!

Step-by-Step Solution

Let's look at the number 0.500

Since the zeros after the tenths digit are not relevant, we can argue that:

0.500=0.5 0.500=0.5

Therefore, if we compare the two numbers, we will find that they are equal and it's the same number:

0.5=0.5 0.5=0.5

Answer

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