1.)Write the following value in scientific notation.
23,000,000
2.)Write the following value in scientific notation.
7,400,000
3.)Write the following value in scientific notation.
0.00000021
4.)Write the following value in scientific notation.
0.00003165
5.)Which value below is not equivalent to the others?
7.27 x 101
72.7
727 x 100
7.27 x 10
1. 23,000,000 = 2.3*10^7. Moving the
decimal 7 places to the right returns the number to standard form.
3. 0.00000021 = 2.1*10^-7. Moving the decimal 7 places to the left returns the
number to standard form.
5. Write all of the numbers in standard
form and compare. Remember that any number raised to the zero power = 1.
10^0 = 1.
1.) To write 23,000,000 in scientific notation, we need to move the decimal point to after the first non-zero digit. In this case, the first non-zero digit is 2. So, we can write 23,000,000 as 2.3 x 10^7.
2.) To write 7,400,000 in scientific notation, we also need to move the decimal point to after the first non-zero digit. So, we can write 7,400,000 as 7.4 x 10^6.
3.) To write 0.00000021 in scientific notation, we need to move the decimal point to after the first non-zero digit. In this case, the first non-zero digit is 2. So, we can write 0.00000021 as 2.1 x 10^-7.
4.) To write 0.00003165 in scientific notation, we need to move the decimal point to after the first non-zero digit. So, we can write 0.00003165 as 3.165 x 10^-5.
5.) The value that is not equivalent to the others is 72.7. The other values are written in scientific notation with the format "number x 10^power", while 72.7 is not.
1.) To write the value 23,000,000 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
Step 1: Count the number of zeros in the original number. In this case, there are seven zeros.
Step 2: Move the decimal point to the left until there is only one non-zero digit to the left of the decimal point, and count the number of places you moved the decimal point. In this case, we move the decimal point six places to the left, resulting in the number 2.3.
Step 3: Finally, express the number in scientific notation by multiplying the non-zero digit by 10 raised to the power of the number of places the decimal point was moved. So, 23,000,000 in scientific notation is 2.3 x 10^7.
2.) Following the same steps as above, the value 7,400,000 in scientific notation is 7.4 x 10^6.
3.) The value 0.00000021 can be written in scientific notation by expressing it as a number between 1 and 10 multiplied by a power of 10. In this case, we need to move the decimal point 8 places to the right to obtain the number 2.1. Thus, 0.00000021 in scientific notation is 2.1 x 10^-8.
4.) Similarly, the value 0.00003165 can be written in scientific notation. Moving the decimal point 5 places to the right gives us 3.165 as the non-zero digit. Thus, 0.00003165 in scientific notation is 3.165 x 10^-5.
5.) To determine which value is not equivalent to the others, we need to compare the given values.
7.27 x 101 is equivalent to 7.27 x 10, as both have the same power of 1.
727 x 100 is equivalent to 7.27 x 10^3, as multiplying 727 by 100 gives us 72,700, which is equivalent to 7.27 x 10^3.
However, 72.7 is not equivalent to the others as it is the decimal representation of the given value. It is not in scientific notation and does not have a power of 10.