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.
answer -
To determine the greatest value among the given numbers using scientific notation, we need to compare their magnitudes.
Scientific notation represents a number as a product of a decimal number between 1 and 10 (known as the coefficient) and a power of 10 (known as the exponent).
Let's express each number in 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
Comparing the coefficient values, we see that 6.54987034>6.4589743>5.4678934.
Therefore, the number 654,987,034 has the greatest value among the given numbers, expressed in scientific notation as 6.54987034 x 10^8.
To compare the numbers and express them in scientific notation, we need to convert them to the form: a x 10^b, where a is a number between 1 and 10 and b is an integer.
1. 654,987,034 = 6.54987034 x 10^8
2. 645,897,430 = 6.4589743 x 10^8
3. 546,789,340 = 5.4678934 x 10^8
Now we can compare the numbers based on the values of a:
1. 6.54987034
2. 6.4589743
3. 5.4678934
Since 6.54987034 is the largest value among the three, the number 654,987,034 has the greatest value when expressed in scientific notation. In scientific notation, it would be written as 6.54987034 x 10^8.
654,987,034 = 6.54987034 x 10^8
645,897,430 = 6.4589743 x 10^8
546,789,340 = 5.4678934 x 10^8
From the given numbers, the greatest value is 6.54987034 x 10^8.