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Question

Arrange the following numbers in an ascending order:
3.65×107,
5.78×106,
2.39×109, and
8.16×106

A
3.65×107
5.78×106
2.39×109
8.16×106
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B
2.39×109
3.65×107
8.16×106
5.78×106
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C
2.39×109
3.65×107
5.78×106
8.16×106
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D
3.65×107
2.39×109
5.78×106
8.16×106
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Solution

The correct option is C 2.39×109
3.65×107
5.78×106
8.16×106
First Method:––––––––––––––––

Step 1:
Write the given numbers in scientific notations. Here, the given numbers 3.65×107, 5.78×106, 2.39×109 and 8.16×106 are already written in scientific notations.

Step 2:
  • Compare the exponents of numbers. The larger the exponent, the greater the number.
  • When the exponents of two numbers are the same, the coefficient of those numbers should be considered. Larger is the coefficient, greater is the number.
Here, 5.78×106 and 8.16×106 have same exponents as 6. So, their coefficient should be compared.
5.78<8.16
5.78×106<8.16×106

Finally, as 9<7<6
2.39×109<3.65×107<5.78×106<8.16×106

Therefore, option (c.) is the correct one.

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