Compare Mixed Numbers: Is 2.07 Equal to, Less Than, or Greater Than 2.7?

Question

Choose the appropriate sign (?):

27100?2.7 2\frac{7}{100}?2.7

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert 271002\frac{7}{100} to a decimal.
  • Step 2: Compare the resultant decimal with 2.72.7.

Now, let's work through each step:

Step 1: Convert the mixed number 271002\frac{7}{100} into a decimal.

The whole number part is 22, and the fractional part 7100\frac{7}{100} as a decimal is 0.070.07. Therefore, the mixed number:

27100=2+0.07=2.072\frac{7}{100} = 2 + 0.07 = 2.07

Step 2: Compare 2.072.07 to 2.72.7.

Since 2.072.07 is less than 2.72.7, we conclude that:

27100<2.72\frac{7}{100} < 2.7

Therefore, the appropriate sign to choose is <<.

Answer

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