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The simplified value of 0.002 ×\times×​ 0.5 is:
Question

The simplified value of 0.002 ×\times​ 0.5 is:

A.

0.1

B.

0.01

C.

0.0001

D.

0.001

Correct option is D

Given:

​ 0.002×0.50.002 \times 0.50.002×0.5

Solution:

expressing the numbers :

0.002 =  2×1032 \times 10^{-3} 

0.5 = 5×1015 \times 10^{-1} 

Now multiplying :

(2×103)×(5×101)=(2×5)×(103×101) (2 \times 10^{-3}) \times (5 \times 10^{-1}) = (2×5)×(10^{-3}×10^{-1}) 

=10×104= 10×10^{-4} 

10×104=103 10×10^{-4} = 10^{-3} 

​Finally, 103=0.00110^{-3} = 0.001 

10−3=0.00110^{-3} = 0.00110−3=0.00110^{-3}= 0.001103=0.001The simplified value of 0.002×0.50.002 \times 0.50.002×0.5 is 0.0010.0010.001.​

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