A number written in scientific notation is doubled. Must the exponent of the power of 10 change?

Question

Please explain your answer, thanks. : )

Answer 1

No. If 1. times 10 to the second was doubled, it would be 2, and 2 times ten to the second equals 200, while 1 times ten to the second equals 100. So as you can see no doubling the exponent.

Answer 2

Definitely NO.

Look at it this way: Scientific notation is just a constrained product of 2 numbers:

[a number between 1 and 10] X [some power of 10]

It's similar to 3 X 4; if you multiply [3 X 4] by 2 you would NOT
multiply each factor in the bracket by 2, only one, in order to get the correct answer.

[ If you wanted to SQUARE the number-in-scientific-notation, then you would square the first factor and double the exponent of 10. example: [1.2 x 10^2]^2 = 1.44 x 10^4 ]

Answer 3

It depends. When you double the number, you only double the number that is multiplied by ten to a power. If that number is less then ten, then you don't have to change the exponents. If it is greater then ten, you should increase the exponent by one, and move the decimal place over one space.

For Example: (e stands for (*10^))

(3e12)*2 = 6e12
(4e3)*2 = 8e3
(6e3)*2 = 12e3 or 1.2e4

Answer 4

Not necessarily. The exponent of the power of ten reflects changes for every 10x, or every time a new digit is added. If doubling the number does not increase the number of digits, the exponent will not change.

For example, this number will not change its exponent:

253 = 2.53x10^2
2*253 = 506 = 5.06x10^2

However, this number will:

506 = 5.06x10^2
2*506 = 1012 = 1.012x10^3

Answer 5

the guy above me did no longer comprehend the question i do no longer think of that's the difficulty suitable? that a extensive kind in clinical notation is doubled? no, the exponent of the capability of 10 shouldn't exchange, the great component ought to be elevated by using 2. so which you should placed 2 exterior of the component surrounded by using parentheses. If "the extensive kind" is x....then it may be written like... 2(x^10)

Answer 6

No, to multiply the number by two will not effect the exponent.
2 * 10^2 = 200
4 * 10^2 = 400

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if you did increase the exponent it would not be doubling the number.Ex.
2*10^4 = 20,000
4 * 10^4 = 40,000

Answer 7

No...we just learnesd this astuff in school...it would screw up the method and change everything.