Arrange the following in increasing order of their values: A. (0.1)3 B.…

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Arrange the following in increasing order of their values:

A. (0.1)3
B. (1/100)1/2
C. (0.005)1/2
D. (0.04)1/2

  1. A.

    A, C, D, B

  2. B.

    A, C, B, D

  3. C.

    D, B, C, A

  4. D.

    C, B, D, A

Attempted by 15 students.

Show answer & explanation

Correct answer: B

First, calculate the numerical value of each expression:

A. (0.1)^3 = 0.001

B. (1/100)^(1/2) = √0.01 = 0.1

C. (0.005)^(1/2) = √0.005 ≈ 0.07

D. (0.04)^(1/2) = √0.04 = 0.2

Comparing the values: 0.001 < 0.07 < 0.1 < 0.2.

Thus, the increasing order is A < C < B < D.

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