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Simplify: (0.3 × 0.3 + 0.01) × (0.1 × 0.1 + 0.09)
Question

Simplify: (0.3 × 0.3 + 0.01) × (0.1 × 0.1 + 0.09)

A.

1/100

B.

1/10

C.

1

D.

9

Correct option is A

Given:

(0.3×0.3+0.01)×(0.1×0.1+0.09)(0.3 \times 0.3 + 0.01) \times (0.1 \times 0.1 + 0.09)​​

Solution:

(0.3×0.3+0.01)×(0.1×0.1+0.09)=(0.09+0.01)×(0.01+0.09)=0.1×0.1=0.01(0.3 \times 0.3 + 0.01) \times (0.1 \times 0.1 + 0.09) \\=(0.09 + 0.01)\times (0.01 + 0.09)\\=0.1\times0.1\\=0.01  

=1\100

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