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

Choose the appropriate sign (?):

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

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

• Step 1: Convert $2\frac{7}{100}$ to a decimal.
• Step 2: Compare the resultant decimal with $2.7$.

Now, let's work through each step:

Step 1: Convert the mixed number $2\frac{7}{100}$ into a decimal.

The whole number part is $2$, and the fractional part $\frac{7}{100}$ as a decimal is $0.07$. Therefore, the mixed number:

$2\frac{7}{100} = 2 + 0.07 = 2.07$

Step 2: Compare $2.07$ to $2.7$.

Since $2.07$ is less than $2.7$, we conclude that:

$2\frac{7}{100} < 2.7$

Therefore, the appropriate sign to choose is $<$.