What is the order of 4*10^-7, 7*10^-9, 1*10^4, 2*10^4 from least to greatest?
a. 1*10^4, 2*10^4, 4*10^-7, 7*10^-9
b. 4*10^-7, 7*10^-9, 1*10^4, 2*10^4
c. 7*10^-9, 4*10^-7, 1*10^4, 2*10^4***
d. 7*10^-9, 4*10^-7, 2*10^4, 1*10^4
Option C is correct. NOTE: 0.000000007, 0.0000004, 10000, 20000
I don't always order numbers, but when I do, I like to start with the smallest. So the correct answer is c. 7*10^-9, 4*10^-7, 1*10^4, 2*10^4.
To determine the order from least to greatest, we compare the values of the exponents first.
The exponents in increasing order are: -9, -7, 4, 4.
Next, we compare the values in each group with the same exponent.
For the exponents of -9 and -7, the values are 7 and 4 respectively. Since 4 is greater than 7, we can eliminate options a and b.
For the exponents of 4, the values are both 1 and 2. In this case, we compare the coefficient values. Since 2 is greater than 1, we have the final order of:
7*10^-9, 4*10^-7, 1*10^4, 2*10^4
Thus, the correct answer is c. 7*10^-9, 4*10^-7, 1*10^4, 2*10^4.
To determine the order of the given numbers, you need to compare the magnitudes of the numbers without considering their exponents.
Starting with the smallest number, we have 4*10^-7.
Next, we have 7*10^-9.
Then, we have 1*10^4.
Lastly, we have 2*10^4.
To compare these numbers, we ignore the magnitude and only compare the numerical values.
4 is smaller than 7, so 4*10^-7 is smaller than 7*10^-9.
1*10^4 is smaller than 2*10^4 because both numbers have the same numerical value, but the exponent of 2*10^4 indicates a larger magnitude.
Thus, the correct order from least to greatest is: 7*10^-9, 4*10^-7, 1*10^4, 2*10^4.
So, the correct answer is c. 7*10^-9, 4*10^-7, 1*10^4, 2*10^4.