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Question

How many mobile phones can a manufacturer produce in 2,000 days if it can produce 4×105 phones everyday?

A
8×105
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B
8×108
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C
8×1015
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D
None of the above
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Solution

The correct option is B 8×108
Given:
Number of mobile phones produced in 1 day =4×105

To Find:
Number of mobile phones produced in 2,000=2×103 days.

Number of mobile phones produced in 2×103 days =2×103 × Number of mobile phones produced in 1 day
=2×103×4×105
=2×4×103×105
=(2×4)×(103×105)
=8×(103×105)

Applying the multiplication rule for same base and different exponents: am×an=am+n

=8×10(3+5)
=8×108

Therefore, 8×108 mobile phones can be produced by the manufacturer in 2,000 days.

Hence, option (b.) is the correct one.

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