Use scientific notation to determine which of these numbers has the greatest value. 654,897,034, 645,897,430, or 546,789,340 write your answer in scientific notation expressed to the exact decimal place
To compare these numbers, we can rewrite them in scientific notation.
654,897,034 = 6.54897034 × 10^8
645,897,430 = 6.4589743 × 10^8
546,789,340 = 5.4678934 × 10^8
From the scientific notations, we can see that the number with the greatest value is 6.54897034 × 10^8, which corresponds to 654,897,034.
To determine which number has the greatest value, we can express each number in scientific notation and compare their exponents. The general form of a number expressed in scientific notation is:
a x 10^b
where "a" represents the coefficient and "b" denotes the exponent.
Let's write the given numbers in scientific notation:
654,897,034 = 6.54897034 x 10^8
645,897,430 = 6.4589743 x 10^8
546,789,340 = 5.4678934 x 10^8
Comparing the exponents, we see that all numbers have the same exponent of 10^8. Therefore, to determine which number has the greatest value, we need to examine the coefficient.
Out of the three numbers, 654,897,034 has the largest coefficient, 6.54897034, making it the number with the greatest value.
Thus, 654,897,034 has the greatest value expressed in scientific notation.
To compare these numbers in scientific notation, we need to express them in the form of "a × 10^b," where "a" is a value between 1 and 10, and "b" is an integer.
The given numbers in standard form are:
654,897,034 = 6.54897034 × 10^8
645,897,430 = 6.45897430 × 10^8
546,789,340 = 5.46789340 × 10^8
Comparing the numbers' exponents, we can see that they are all equal. To determine the number with the greatest value, we compare the "a" values.
6.54897034 > 6.45897430 > 5.46789340
Therefore, in scientific notation, the number 654,897,034 has the greatest value.