Compare Fractions and Decimals: 25/10 and 0.25 Relationship

Choose the appropriate sign (?):

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the correct sign
00:03 Convert decimal to simple fraction
00:08 Place the digits in the numerator
00:12 Move the decimal point until we get a whole number to find the denominator
00:15 We moved the decimal point 2 places right, so the denominator equals 100
00:20 Place the fraction instead of the decimal fraction
00:24 Now expand the second fraction to the common denominator 100
00:29 Make sure to multiply both numerator and denominator
00:44 Place this fraction and compare
00:49 Choose the appropriate sign
00:53 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the appropriate sign (?):

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

2

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 >.

3

Final Answer

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