Compare 0.8 and 8/100: Choosing the Correct Mathematical Symbol

Question

Choose the missing sign (?):

0.8?8100 0.8?\frac{8}{100}

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:04 Convert fraction to decimal number
00:15 Dividing by hundred equals moving the decimal point 2 places left
00:33 Now let's compare the digits
00:36 The digit 8 is greater than 0, so the number is larger
00:39 And this is the solution to the question

Step-by-Step Solution

First, let's convert the simple fraction into a decimal fraction.

We'll write the number 8 with two zeros in front of it and then add the decimal point:

8100=008. \frac{8}{100}=008.

Since the simple fraction is divided by 100, we'll move the decimal point two places to the left:

008.=0.08 008.=0.08

Let's finally compare our two decimal numbers, focusing on the number after the decimal point:

0.80 > 0.08

Answer

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