Write the following value in scientific notation.
23,000,000
Write the following value in scientific notation.
7,400,000
Write the following value in scientific notation.
0.00000021
Write the following value in scientific notation.
0.00003165
Which value below is not equivalent to the others?
7.27 x 101
72.7
727 x 100
7.27 x 10
23,000,000
= 2.3 x 10^7 (count how many decimal places I moved the decimal
use the same method to express the others.
I don't understand your last one, why are you multiplying by 101 ?
To write a value in scientific notation, follow these steps:
1. Move the decimal point to get a number between 1 and 10.
2. Count the number of places moved.
3. Write the number in decimal notation, multiplied by 10 raised to the power of the number of places moved.
Now let's apply this process to the values you provided.
1. 23,000,000:
- Moving the decimal point 7 places to the left, we get 2.3.
- Since we moved the decimal point 7 places, we multiply 2.3 by 10^7.
- The value in scientific notation is 2.3 x 10^7.
2. 7,400,000:
- Moving the decimal point 6 places to the left, we get 7.4.
- Since we moved the decimal point 6 places, we multiply 7.4 by 10^6.
- The value in scientific notation is 7.4 x 10^6.
3. 0.00000021:
- Moving the decimal point 8 places to the right, we get 2.1.
- Since we moved the decimal point 8 places, we multiply 2.1 by 10^-8.
- The value in scientific notation is 2.1 x 10^-8.
4. 0.00003165:
- Moving the decimal point 5 places to the right, we get 3.165.
- Since we moved the decimal point 5 places, we multiply 3.165 by 10^-5.
- The value in scientific notation is 3.165 x 10^-5.
From the given options, the one that is not in proper scientific notation is "727 x 100". The value needs to be represented as a decimal number multiplied by 10 raised to a power. So the correct representation would be "7.27 x 10^3" if we move the decimal point two places to the left.