Using scientific notation to compare these numbers: 12,740,879,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?
A. 1.292037 x 10^10
B. 1.2740876635 x 10^10
C. 1.345763334 x 10^9
D. 12,920,370,000
To compare the numbers using scientific notation, we rewrite each number in the form of "a x 10^n", where "a" is between 1 and 10 (but not including 10) and "n" is an integer.
12,740,879,635 = 1.2740879635 x 10^10
1,345,763,334 = 1.345763334 x 10^9
12,920,370,000 = 1.292037 x 10^10
Comparing the values of the exponents, we can see that both options A and D have an exponent of 10, so we need to compare the values of "a."
The value of "a" in option A is 1.292037, while the value of "a" in option D is 12,920,370,000.
Since 12,920,370,000 is greater than 1.292037, option D (12,920,370,000) has the greatest value.
To compare these numbers using scientific notation, we need to convert them to the same exponent.
Let's convert each number to scientific notation:
12,740,879,635 = 1.2740879635 x 10^10
1,345,763,334 = 1.345763334 x 10^9
12,920,370,000 remains the same as it is already in scientific notation.
Now that all the numbers are in scientific notation, let's compare them:
A. 1.292037 x 10^10
B. 1.2740879635 x 10^10
C. 1.345763334 x 10^9
D. 12,920,370,000
To compare their values, we only need to look at the coefficients (the numbers before 10 raised to the power).
Out of the given options, the coefficient 1.292037 x 10^10 is the largest. Therefore, A. 1.292037 x 10^10 has the greatest value.
To compare the given numbers using scientific notation, we can convert them into scientific notation and then compare their exponents.
1) 12,740,879,635 can be written in scientific notation as 1.2740879635 x 10^10
2) 1,345,763,334 can be written in scientific notation as 1.345763334 x 10^9
3) 12,920,370,000 can be written in scientific notation as 1.292037 x 10^10
Comparing the exponents, we can see that:
A. 1.292037 x 10^10 has the greatest value, as its exponent is larger than the other numbers.