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Question

Arrange the following in increasing order:

2.5, 2.05, 2.505, 2.5005

A
3< 4< 2< 5
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B
2< 4< 3< 5
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C
2< 3< 4< 5
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D
5< 2< 3< 4
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Solution

The correct option is C 2< 3< 4< 5
According to their places on the number line,
2 is at one place left of decimal to every number i.e., at units place.

Then one place to the right of the decimal (i.e., tenths place) we have 5, 0, 5, 5 so 0 will be smallest i.e., 2.05

In the rest of the three numbers, we will see two places right to the decimal (i.e, hundredths place), we have 0 in 2.5, 0 in 2.505 and 0 in 2.5005. So we can not compare it in 2nd place.

Now we will go for 3rd place to the right of the decimal (i.e., thousandths place) we have 0 in 2.5, 5 in 2.505 and 0 in 2.5005. So 2.505 will be greatest.

Now we will go for 4th place to the right of the decimal to compare the rest of the two numbers we have 0 in 2.5, 5 in 2.5005. So 2.5005 will be greater than 2.5.
i.e., we have
2.05 < 2.5 < 2.5005 < 2.505

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