(7*10^5)^2 simplified in scientific notation

2 answers:

6 0

(7 *10⁵)² => 4.9 x 10¹¹

The original number of 7 x 10⁵ is 700,000

If you multiply 700,000 by 700,000 you will get 490,000,000,000

We need to place one digit before the decimal point and the rest after the decimal point.

4.90000000000 to make the number shorter we must multiply the numbers by 10 raised to the power of 10

4.9 x 10¹¹ - eleven is the exponent because it is the number of places after the decimal point until the last zero of the actual number. (1 digit of 9 + 10 digits of 0)

coldgirl [10]3 years ago

5 0

♥ Lets solve this:
(7*10^5)^2(7*10^5)^2
Starting with 10^5
10*10*10*10*10
We get 100000
Now we have 7*100000
Solve for that:
We get 700000
Now we have 700000^2
Solve for that
We get 490000000000
and in Scientific notation that is
4.9*10^11

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Practice: Activating Prior Knowledge

Elena-2011 [213]

Scientific notation is used to write really large numbers, or really small numbers using less digits. For example:

1. Earth's distance from the sun 150,000,000 kilometers. We can rewrite this in scientific notation as 1.5 x $10^{8}$

2. The length of a skin cell is 0.00003 meters. We can rewrite this in scientific notation as 3.0 x $10^{-5}$

3. The world population is about 7,000,000,000. We can rewrite this in scientific notation as 7 x $10^{9}$