Compare Fractions and Decimals: 25/10 and 0.25 Relationship

Question

Choose the appropriate sign (?):

2510?0.25 \frac{25}{10}?0.25

Video Solution

Step-by-Step Solution

To compare the given values, we first convert the fraction 2510\frac{25}{10} into a decimal form:

Step 1: Simplify 2510\frac{25}{10}.

Divide 25 by 10:

2510=2.5\frac{25}{10} = 2.5.

Step 2: Compare 2.5 and 0.25.

The decimal 2.52.5 is clearly greater than 0.250.25.

Thus, the correct comparison sign between the values is greater than.

Therefore, we write:

2510>0.25\frac{25}{10} > 0.25.

Thus, the correct choice is >.

Answer

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