3. Write 2.09 x 10^5 in decimal notation. Show your work.
To convert 2.09 x 10^5 to decimal notation, we move the decimal point to the right 5 places.
2.09 x 10^5 = 209000.
To write 2.09 x 10^5 in decimal notation, we need to move the decimal point 5 places to the right.
Starting with 2.09, we will move the decimal point to the right:
2.09 --> 209 (moving the decimal point one place to the right)
209 --> 2090 (moving the decimal point one more place to the right)
2090 --> 20900 (moving the decimal point one more place to the right)
20900 --> 209000 (moving the decimal point one more place to the right)
209000 --> 2090000 (moving the decimal point one more place to the right)
So, 2.09 x 10^5 in decimal notation is equal to 209000.
To write 2.09 x 10^5 in decimal notation, we need to multiply the number 2.09 by 10 raised to the power of 5.
To do this, we move the decimal point in 2.09 five places to the right because the exponent is positive. This will give us the decimal notation of the number.
Let's show the work step by step:
2.09 x 10^5
= 2.09 x (10 x 10 x 10 x 10 x 10) [Expanding 10^5 as 10 multiplied by itself 5 times]
= 2.09 x 100000
= 209000
Therefore, 2.09 x 10^5 in decimal notation is equal to 209,000.