Use scientific notation to determine which of these numbers has the greatest value: 654,987,034; 645,897,430; or 546,789,340.
To compare the values using scientific notation, we need to express each number in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
Let's convert the numbers into scientific notation:
654,987,034 = 6.54987034 x 10^8
645,897,430 = 6.4589743 x 10^8
546,789,340 = 5.4678934 x 10^8
Now we can see that all three numbers have the same power of 10 (10^8). So, to compare them, we only need to consider the coefficient (the number before the multiplication).
Out of the coefficients: 6.54987034, 6.4589743, and 5.4678934, the highest value is 6.54987034.
Therefore, the number 654,987,034 has the greatest value when expressed in scientific notation.
To compare these numbers using scientific notation, we need to convert them into scientific notation format. In scientific notation, a number is written as a product of a number between 1 and 10, and a power of 10.
Let's convert each of these numbers into scientific notation:
654,987,034 = 6.54987034 x 10^8
645,897,430 = 6.4589743 x 10^8
546,789,340 = 5.4678934 x 10^8
Now, we can clearly see that all three numbers have the same power of 10, which is 10^8. To determine which number has the greatest value, we need to compare the number before the power of 10.
Comparing the numbers before the power of 10, we find:
6.54987034 > 6.4589743 > 5.4678934
Therefore, the number written in scientific notation as 654,987,034 has the greatest value.
To determine which number has the greatest value, we can convert these numbers into scientific notation. Scientific notation is a way of expressing numbers that are very large or very small by using a power of 10.
Let's convert the numbers into scientific notation:
654,987,034 = 6.54987034 × 10^8
645,897,430 = 6.4589743 × 10^8
546,789,340 = 5.4678934 × 10^8
Now we can compare the numbers by comparing the coefficients (the numbers before the "× 10"):
6.54987034
6.4589743
5.4678934
Since the first number (6.54987034) has the highest coefficient, it has the greatest value among the given numbers.
Therefore, 654,987,034 has the greatest value.