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Q.

In a month of 31 days, the Total seconds (in time) are 2,678,400. Its scientific notation is 2.6784×106 . Among the following values, which of the value is numerically equal scientific notation  

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a

26.784×105

b

26.784×106

c

267.84×104

d

2678.4×103

answer is D, A, C.

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Detailed Solution

2.6784×106

Option ( A): Compare 2.6784&26.784 decimal point is shifted one place to right. So, the number should be multiplied by 10

2.6784×106=2.6784×101×105(106=101×105)

            =26.784×105

Option ( C ) :Decimal point is shifted to two places to the right. The number should be multiplied by 100.

2.6784×106=2.6784×102×104(106=102×104)

=267.84×104

Option ( D) : Decimal point is shifted to 3 places to the right. So the number should multiplied by (1000=103)

2.6784×106=2.6784×103×103(106=103×103)=2678.4×103  

Option ( B ): Decimal point is shifted without multiplied by 10.

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