Which number is equal to 7(3.5 x 10to the 4th) written in scientific notation?

A.24.5 x 70to the 4th
B.2.45 x 10 to the 5th
C.24.5 x 10 to the 4th
D.1.05 x 10 to the 5th

I think it is B...?

7*3.5 = 24.5, so you have 24.5*10^4

but scientific notaion requires a value less than 10, so you have to raise the power by one. (B)

Describe 2 polygons by the number of vertices and sides each has

Choice-f

To find the answer, let's first understand scientific notation and how to convert numbers into scientific notation. Scientific notation is an abbreviated way of writing very large or very small numbers. It is written in the form: a × 10^b, where 'a' is a number between 1 and 10 (excluding 10) and 'b' is an exponent that tells us how many places to move the decimal point.

Now, let's look at the number given: 7(3.5 × 10^4). We can rewrite it as 7 × 3.5 × 10^4.

To determine the equivalent number in scientific notation, multiply 7 by 3.5 and then multiply the result by 10^4. The result is:

7 × 3.5 = 24.5

Now, we need to move the decimal point 4 places to the right because of the 10^4 exponent. Therefore, the number in scientific notation is:

24.5 × 10^4

Comparing the options:

A. 24.5 × 70^4 – This option does not have a 10 in the exponent, so it is not in scientific notation.

B. 2.45 × 10^5 – This option matches the number we calculated and is in scientific notation.

C. 24.5 × 10^4 – This option matches the number we calculated and is in scientific notation.

D. 1.05 × 10^5 – This option does not have the correct number in the front (it is 1.05 instead of 24.5), so it is not the correct answer.

Therefore, the correct answer is option B: 2.45 × 10^5.