Using scientific notation to compare these numbers:12,740,876,635; 1,345,763,334; and 12,930,370,000, whitch has the greatest value
To compare these numbers using scientific notation, we need to express them in the form of "a x 10^b", where "a" is a number between 1 and 10, and "b" is an integer that represents the exponent.
12,740,876,635 = 1.2740876635 x 10^10
1,345,763,334 = 1.345763334 x 10^9
12,930,370,000 = 1.293037 x 10^10
Comparing the exponents, we can see that the number with the greatest value is 1.293037 x 10^10, which is equivalent to 12,930,370,000.
To compare these numbers using scientific notation, we need to write them in proper scientific notation form and compare their exponents and coefficients.
The first number, 12,740,876,635, can be written in scientific notation as: 1.2740876635 × 10^10.
The second number, 1,345,763,334, can be written in scientific notation as: 1.345763334 × 10^9.
The third number, 12,930,370,000, can be written in scientific notation as: 1.293037 × 10^10.
To compare the exponents, we can see that the exponents for the first and third numbers are the same (10), while the exponent for the second number is 9.
Now, let's compare the coefficients. The coefficient for the first number is 1.2740876635, the coefficient for the second number is 1.345763334, and the coefficient for the third number is 1.293037.
Since the exponents are the same, we can directly compare the coefficients.
Comparing the coefficients, we can see that 1.345763334 > 1.293037 > 1.2740876635.
Therefore, the number 1,345,763,334 has the greatest value among these three numbers when written in scientific notation.
To compare these numbers using scientific notation, we need to convert them into a common form.
Let's start with the first number, 12,740,876,635. To convert it to scientific notation, we move the decimal point after the first significant digit, which in this case is 1.2740876635.
Now, count the number of places you moved the decimal point. Since we moved it 10 places to the left, the exponent of the power of 10 is -10. Therefore, the scientific notation for 12,740,876,635 is 1.2740876635 x 10^10.
Next, let's convert 1,345,763,334. We move the decimal point after the first significant digit, which is 1.345763334. The decimal point was moved 9 places to the left, so the scientific notation is 1.345763334 x 10^9.
Lastly, convert 12,930,370,000. Again, moving the decimal point after the first significant digit gives us 1.2930370000. The decimal point was moved 10 places to the left, so the scientific notation is 1.2930370000 x 10^10.
Now we can compare the numbers by looking at the exponents. Both the first and third numbers have an exponent of -10, while the second number has an exponent of -9. In scientific notation, the larger the exponent, the larger the value. Therefore, the number with the greatest value is 12,930,370,000.
Alternatively, you can compare the numbers directly without converting them by looking at the magnitudes. In this case, 12,930,370,000 is the largest number because it has the greatest magnitude.