Use scientific notation to determine which of these numbers has the greatest value: 654,987,034; 645,897,430; or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place.
To determine which number has the greatest value, we can rewrite the numbers in scientific notation and compare their coefficients.
654,987,034 can be written as 6.54987034 × 10^8
645,897,430 can be written as 6.4589743 × 10^8
546,789,340 can be written as 5.4678934 × 10^8
Comparing the coefficients, we can see that 6.54987034 × 10^8 is the largest value.
Therefore, the number 654,987,034 has the greatest value, expressed in scientific notation as 6.54987034 × 10^8.
To compare the given numbers using scientific notation, we need to represent each number in the form of A × 10^B, where A is a number between 1 and 10 (inclusive), and B is an integer.
Let's express each number in scientific notation:
654,987,034 = 6.54987034 × 10^8
645,897,430 = 6.4589743 × 10^8
546,789,340 = 5.4678934 × 10^8
Comparing the coefficients (A), we can see that 6.54987034 is the largest among the three.
Therefore, the number 654,987,034 has the greatest value when written in scientific notation: 6.54987034 × 10^8.
To determine which of these numbers has the greatest value using scientific notation, we need to express each number in scientific notation.
Scientific notation is written in the form: a × 10^b, where "a" is a number between 1 and 10 (inclusive), and "b" is an integer.
Let's convert the numbers to scientific notation:
654,987,034 = 6.54987034 × 10^8
645,897,430 = 6.4589743 × 10^8
546,789,340 = 5.4678934 × 10^8
Now that we have all three numbers in scientific notation, we can compare them.
In scientific notation, the numbers with the greatest value have the largest coefficient ("a" value). We can see that 6.54987034 × 10^8 is the largest coefficient among the three numbers, which means that 654,987,034 has the greatest value.
Therefore, the number 654,987,034 has the greatest value in scientific notation, expressed to the exact decimal place.