Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?
1. 1,345763334 x 10^9
2. 12,920,370,000
3. 1.292037 x 10^10
4. 1.2740876635 x 10^10
To compare the numbers using scientific notation, we need to convert each number to scientific notation.
1. 12,740,876,635 = 1.2740876635 x 10^10
2. 1,345,763,334 = 1.345763334 x 10^9
3. 12,920,370,000 = 1.292037 x 10^10
Now we can see that the number in option 4 (1.2740876635 x 10^10) is the largest.
To compare these numbers using scientific notation, we can convert them into the same format. Scientific notation represents numbers in the form of "a x 10^n", where "a" is a decimal number between 1 and 10, and "n" is an integer exponent.
Let's convert each number into scientific notation:
1. 12,740,876,635 = 1.2740876635 x 10^10
2. 1,345,763,334 = 1.345763334 x 10^9
3. 12,920,370,000 = 1.292037 x 10^10
Now we can compare the exponents. The number with the greatest exponent has the greatest value. Comparing the exponents, we have:
1. 1.2740876635 x 10^10
2. 1.345763334 x 10^9
3. 1.292037 x 10^10
The number with the greatest exponent is 1.2740876635 x 10^10. Therefore, it has the greatest value among the given numbers.
To compare these numbers using scientific notation, we need to convert each number to scientific notation first.
1. 12,740,876,635 = 1.2740876635 x 10^10 (moving the decimal point 10 places to the left)
2. 1,345,763,334 = 1.345763334 x 10^9 (moving the decimal point 9 places to the left)
3. 12,920,370,000 = 1.292037 x 10^10 (moving the decimal point 10 places to the left)
Now, we can compare the numbers.
1. 1.345763334 x 10^9 = 1.345763334 billion
2. 12,920,370,000 = 12.92 billion
3. 1.292037 x 10^10 = 12.92 billion
4. 1.2740876635 x 10^10 = 12.74 billion
Comparing the values, we can see that the number in option 4, 1.2740876635 x 10^10, has the greatest value.