Express the following in proper exponential notation. A. 1512 =
B. 0.00529 =
C. 21.52 X 10^-4

A. 1.512*10^3

B. 5.29*10^-3  

C. 2.152*10^-3

Explanation:

Exponential notation is where a number is represented in the form:

x * 10^n

where x is a number between 1 and 10.

In order to represent 1512 as a number between 1 and 10, we need to divide it by a multiple of 10. In this case, dividing is by 1000 will move it 3 decimal places to the left and get us 1.512 which is perfect. Because we divided by 1000 to get there, 1.512 needs to multiply by 1000 to equal the original number 1512. Since 1000 = 10^3, 1512 in exponential form is:

1.512*10^3

Similarly for the other ones:

0.00529 we need to multiply by 1000 to get to 5.29 (between 1 and 10) so this needs to multiply by 0.001 (1/1000) to equal original number so in exponential form is:

5.29*10^-3       (10^-3 = 0.001)

Finally:

21.52*10^-4 I would recommend converting back to the original number first, which would give us:

21.52*0.0001 = 0.002152

Which we need to multiply by 1000 to get right number so in exponential form is:

2.152*10^-3

Hope this helped!

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