A company manufactured 1.8 x 10^9 light bulbs last year. Each light bulb is checked for defects before packaging. If 2% were found to have defects, how many had defects, write your answer in scientific notation.

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23-04-2018
Mathematics

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A company manufactured 1.8 x 10^9 light bulbs last year. Each light bulb is checked for defects before packaging. If 2% were found to have defects, how many had defects, write your answer in scientific notation.

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11beehshahbaz 11beehshahbaz · Answer 1 · 2018-04-23T02:31:37+02:00

Total number of bulbs that were manufactured last year = [tex]1.8*10^{9} [/tex]

Percentage of defective bulbs = 2%

Number of defective bulbs = Percentage of defective bulbs x Total number of bulbs.

Using the values, we get:

Number of defective bulbs = [tex]0.02 * 1.8*10^{9} [/tex]
[tex] \\ =2*1.8*10^{7} \\ \\ =3.6*10^{7} [/tex]

Thus, [tex]3.6*10^{7} [/tex] defective bulbs were manufactured last year